diff options
Diffstat (limited to 'app')
| -rw-r--r-- | app/data/pythonserver.py | 17 | ||||
| -rw-r--r-- | app/data/randorevog.json | 4202 | ||||
| -rw-r--r-- | app/data/roam.json | 1 |
3 files changed, 4220 insertions, 0 deletions
diff --git a/app/data/pythonserver.py b/app/data/pythonserver.py new file mode 100644 index 0000000..69fda3a --- /dev/null +++ b/app/data/pythonserver.py @@ -0,0 +1,17 @@ +try: + # Python 3 + from http.server import HTTPServer, SimpleHTTPRequestHandler, test as test_orig + import sys + def test (*args): + test_orig(*args, port=int(sys.argv[1]) if len(sys.argv) > 1 else 8000) +except ImportError: # Python 2 + from BaseHTTPServer import HTTPServer, test + from SimpleHTTPServer import SimpleHTTPRequestHandler + +class CORSRequestHandler (SimpleHTTPRequestHandler): + def end_headers (self): + self.send_header('Access-Control-Allow-Origin', '*') + SimpleHTTPRequestHandler.end_headers(self) + +if __name__ == '__main__': + test(CORSRequestHandler, HTTPServer) diff --git a/app/data/randorevog.json b/app/data/randorevog.json new file mode 100644 index 0000000..2bfb6cb --- /dev/null +++ b/app/data/randorevog.json @@ -0,0 +1,4202 @@ + { + "nodes": [ + { + "id": 0 + }, + { + "id": 1 + }, + { + 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Introduction"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-1-4","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"Bertrand constructed his chord paradox to pose a challenge to the principle of indiffer- ence by showing that it led to inconsistent probabilities. Despite an extensive literature aimed at resolution, Bertrand’s chord paradox continues to undermine the principle of indifference (Shackel 2007)"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-1-5","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"In this paper I show that even under the most favourable assumptions allowing for that purchase, Bertrand’s chord para- dox undermines the maximum entropy principle"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-2-0","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"2. The maximum entropy principle"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-2-1","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"Salmon’s Ascertainability criterion requires ‘that there be some method by which, in principle at least, we can ascertain values of probabilities’ (Salmon 1967:64)."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-2-2","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"Classical probabilists 1 such as Bernoulli (1713) and Laplace (1814/1995) and logical probabilists such as Keynes (1921/2014) have used as their method the principle of indifferenc"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-2-3","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"Unfortunately the principle of indifference falls afoul of a number of paradoxes, most famous of which is Bertrand’s chord paradox."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-2-4","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"Objective Bayesians such as Jaynes (2003), Rosenkrantz (1977) and Williamson (2010) have suggested that the maximum entropy principle can replace the principle of indifference."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-3-0","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"The maximum entropy principle has been applied to some of the paradoxes that trou- ble the principle of indifference and it has been claimed to resolve some of them."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-3-1","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"nowhere in the literature has there been an analysis of applying the maximum entropy principle to Bertrand’s paradox. By an analysis, I mean showing whether the mathematics of entropy, when applied to Ber- trand’s paradox, determines a unique probability function with maximum entropy. I demonstrate here that it does not."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-3-2","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"To put it crudely, absent this paper, for all we know the maximum entropy princi- ple might yet solve Bertrand’s chord paradox. This paper proves it does not."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-3-3","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"Moreover, the course of the analysis exhibits a further problem for the maximum entropy principle: I pre- sent a new paradox of the chords that arises only for the maximum entropy principle."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-3-4","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"what kind of a problem is non-uniqueness for pro- ponents of the maximum entropy principle?"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-5-0","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"3. Bertrand’s Paradox"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-5-1","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"We trace at random a chord in a circle. What is the probability that it would be longer than the side of the inscribed equilateral triangle? (Bertrand 1888: 4)"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-6-0","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"As is well known, applying the principle of indiff,erence in three different ways gives three different answers for the probability of longer"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-6-1","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"for our analysis we need only the most fundamental features of the standard measure theoretic formulation of probability."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-7-0","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"4. The maximum entropy principle applied to Bertrand’s Paradox"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-7-1","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"he essential problem of Bertrand’s paradox for the principle of indifference is that the set of chords, C, lacks a measure of its own by which to define equi-probability for equal igno- rance over C; instead there is only an infinity of measures we might induce on C and no principled way of picking among them."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-8-0","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"The apparent virtue of applying the maximum entropy principle is having a way of choosing one over the other"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-8-1","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"For this to work requires that"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-8-2","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"5. Unknowable maximum entropy probability functions are not acceptable"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-8-3","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"Bertrand’s paradox brings into view the danger that spaces without measures of their own pose to knowing the maximum entropy probability function."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-9-0","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"One route to knowing the maximum entropy probability function would be to evaluate entropies. Unfortunately, this is blocked by obstinate integrals leading to numerical intractability."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-9-1","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"Numerical intractability, it might be objected, poses a merely practical problem. In principle, numerical evaluation is possible and the intractability is just a matter of it tak- ing a very long time to do the figuring."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-9-2","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"The problem is that to determine the maximum entropy principle in this way would require performing infi- nitely many numerical evaluations and this we cannot do."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-9-3","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"The other route we might take to knowing the maximum entropy probability function would be having a constructive existence proof of which one it is that does not depend on evaluating entropies."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-10-0","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"Although these several points do not constitute a conclusive proof that (if there is one) the unique maximum entropy probability function for Bertrand’s paradox is unknowable, they are good reason to think that it is not."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-10-1","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"The nature of the problem here depends on whether the maximum entropy principle is taken to be a purely metaphysical principle or whether it is in part or wholly an epistemic principle."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-11-0","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"6. Either Bertrand’s paradox returns or we have a revenge paradox of the chords"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-11-1","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"There is an important difference between entropy for discrete and continuous event spaces: entropy can be unbounded for continuous distributions (more loosely put, can be infinite)."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-11-2","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"Given the lack of structure in C, pro- vided there is just one such for which the probability of longer > ½ there will be another that is its dual 30 giving the probability of longer < ½. That would immediately give rise to Bertrand’s paradox. So for this strategy to work would require that all the probability functions, P, for which entropy is unbounded give the probability of longer, P(L) = ½."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-11-3","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"Now consider the following events whose disjunction is the same as not being longer"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-12-1","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"The only way out of this is to exclude probability functions with unbounded entropies."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/ShackelN,RowbottomD__Bertrand's_Paradox_and_the_Maximum_Entropy_Principle.pdf-annot-12-2","file":"/home/thomas/OneDrive/org-roam/Shackel.org","title":"7. 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The aim of this paper is to reconcile these two apparently inconsistent faiths,"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/StrevensM_2007_Why_Explanations_Lie_Idealization_in_Explanation.pdf-annot-2-13","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - Why Explanations Lie.org","title":"Idealizations, I will argue, convey explanatorily essential information, that is, information that must be grasped in order to understand perfectly the phenomena to be explained."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/StrevensM_2007_Why_Explanations_Lie_Idealization_in_Explanation.pdf-annot-7-15","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - Why Explanations Lie.org","title":"Thus the unificationist account of idealization appears to fall through: our best idealizations seem sometimes not to result in the greatest degree of unification."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/StrevensM_2007_Why_Explanations_Lie_Idealization_in_Explanation.pdf-annot-26-14","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - Why Explanations Lie.org","title":"To generalize the discussion of Boyle’s law: the role of an idealization is to assert the explanatory irrelevance, that is, the failure to make a difference, of a salient causal factor."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/StrevensM_2007_Why_Explanations_Lie_Idealization_in_Explanation.pdf-annot-26-15","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - Why Explanations Lie.org","title":"1. It is evidently false."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/StrevensM_2007_Why_Explanations_Lie_Idealization_in_Explanation.pdf-annot-27-11","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - Why Explanations Lie.org","title":". The false claim fills out certain details left unspecified by the canonical explanatory model."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/StrevensM_2007_Why_Explanations_Lie_Idealization_in_Explanation.pdf-annot-27-12","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - Why Explanations Lie.org","title":"3. The details are filled out in a certain way: the relevant parameters are assigned a zero, an infinite, or some other default value."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/StrevensM_2007_Why_Explanations_Lie_Idealization_in_Explanation.pdf-annot-27-13","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - Why Explanations Lie.org","title":"The content of an idealized model, then, can be divided into two parts"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/StrevensM_2007_Why_Explanations_Lie_Idealization_in_Explanation.pdf-annot-27-14","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - Why Explanations Lie.org","title":"1. An idealizing explanation is always better than its veridical counterpart,"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/StrevensM_2007_Why_Explanations_Lie_Idealization_in_Explanation.pdf-annot-32-7","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - Why Explanations Lie.org","title":"Third, in explanatory models in population biology, infinite populations are assumed. The effect of this assumption is to set the expected rate of genetic drift to zero. 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However, and importantly, it is no longer clear that we can dispense with reifying the explanatory mathematical structure. The reason is that, although FQHE systems are approximately two-dimensional and seem to manifest behavior consistent with frac- tional statistics, still, it is not the case that the mathematical structure is “approximately instantiated” as Leng’s account necessitates. The fundamental group of the configura- tion space of identical particles in approximately two dimensions is the same as that of three dimensions, the permutation group S N . In order to allow for fractional statistics we need the fundamental group to be the braid group B N , and this can only occur in exactly two dimensions. Yet, physical systems are not exactly two-dimensional. 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of a physical system (or event, or state) may be called objective is that it corresponds to a property of the object (or event, or state)."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-2-0","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"However, one often also reads that the theorems of mathematics or logic are ‘objective,’ even though they do not refer to any concrete object at all. What seems to be intended in such cases is that they follow strictly from axioms and proof protocols, so that no one accepting these rules could dispute the validity of these results."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-2-1","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"By contrast, then, the predicate ‘subjective’ is used in this second sense for statements that do not have a rationally compelling justification."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-3-0","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"Bernoulli’s view on the meaning of probability was more or less common to all later authors until and including Laplace, and is often called ‘classical."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-3-1","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"Of course, this question, how to assign values to probabilities in a given state of knowledge, is the really hard one for the classical interpretation. In fact, there is only one obvious candidate for such a rule: the so-called Principle of Insufficient Reason (or Principle of Indifference)."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-4-0","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"This principle is fraught with difficulty, and many authors have commented on its subtle and elusive meaning."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-6-0","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"However, Bernoulli’s Law of Large Numbers fails to deliver what Bernoulli might have hoped it would, namely, a method for assigning probabilities on the basis of observed data alone as an alternative to the Principle of Insufficient Reason"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-7-0","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"P ROBLEM : Given the number of times in which an unknown event has happened and failed: Required the chance that the probability of its happening in a single trial lies between any two degrees of probability that can be named. And he elucidated: By chance I mean the same as probability."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-10-0","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"Today, the name of Bayes is often associated with the subjective view on probability. We have already seen that this subjective view was in fact much older, and explicitly stated by Bernoulli. In contrast, Bayes was much more vague and uncommitted about what he meant by ‘probability.’"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-10-1","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"3 Modern subjectivism: Ramsey and de Finetti"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-10-2","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"espouse a view of probability that makes no claim that all rational minds, in the possession of the same information, should agree upon their evaluation of probabilities. Rather, this view, sometimes called ‘personalist,’ holds that any system of beliefs that a person wishes to entertain, whether based on empirical information, expert opinion, or sheer prejudice, is equally allowed. Thus, there is no need for a principle like that of Insufficient Reason."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-11-0","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"De Finetti was a subjectivist of a more radical approach than Bayes or Bernoulli had ever been. He utterly rejected the notion of unknown probabilities, and hence the very basis of Bayes’ approach to the above problem."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-13-0","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"In de Finetti’s analysis, however, it is quite clear that a sequence of days on which I am either alive or dead would not be regarded as exchangeable. Thus, precisely because his theorem has a presupposition that may fail, the application of its result is more clearly restricted and delineated than in Bayes’ approach."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-13-1","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"4 Subjective probability in statistical physics"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-16-0","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"4.1 Boltzmann"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-16-1","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"Boltzmann never championed a subjective view on probability."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-16-2","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"it is clear that Boltzmann had less patience with the classical, subjective, notion of probability than Maxwell. Indeed, one of the few instances in which he criticized Maxwell was precisely Maxwell’s (1867) appeal to Insuf- ficient Reason (Boltzmann 1872). For Boltzmann, probability was an objective quantity. However, this does not mean that he had a clear and consistent concept of probability"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-18-0","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"His major claim to fame is that he designed a principle to deal with import of observational data that is quite different from the Bayes–Laplace view, and generalizes the Principle of Insufficient Reason. Maximum-Entropy Principle ( MEP )"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-19-1","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"However, I would like to dwell on the worry whether the MEP is compatible with Bayesian procedures. The issue is subtle,"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-19-2","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"The problem is, in essence, where the constraint comes from or what it represents."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-19-0","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"Extensions of this principle to the case where the number of possibilities are countably or uncountably infinite involve much more work, which I will skip in this context (see Uffink 1995 for details)."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-21-2","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"Now, while I agree with Jaynes that a sharp distinction between events and constraints is advisable, it is hard to reconcile this distinction with Jaynes’ own proposal in the example above to ‘interpret’ a statement about the occurrence of some event as a statement about a constraint."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-21-0","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"5 Discussion"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-21-1","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"The subjective view on probability in statistical physics has often been regarded as dangerous or unwanted precisely because it would introduce subjective ele- ments in an otherwise objective scientific theory."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-22-0","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"Subjective interpreters like Jaynes have often stressed forcefully that a sub- jective view on probability in statistical physics means that this theory is no longer purely a traditional theory of physics"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-22-1","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"o, in contrast to Popper and Albert, I would argue that the subjective view in statistical physics is clearly a coherent and viable option. This is not to say that it is without internal problems."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-22-2","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"But apart from viability, one might also ask whether a subjective view on probability advances the theory of statistical physics in any waf"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-22-3","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"There is at least one issue where one might expect the subjective view to be helpful: ergodicity."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-22-4","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"Therefore, the Birkhoff–von Neumann Ergodic Theorem, which specifies under which conditions this equality holds, and generalizations of this theorem in ergodic theory, are often regarded as highly relevant in an objective approach"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-23-0","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"In contrast, adherents of the subjective view often take pride that their view has no such qualms. The motivation for adopting an ensemble, in this view, is not that it has any empirical relevance but rather that it adequately reflects our epistemic judgment about the system."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-23-1","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"However, the issue is not that simple."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-23-2","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"A more controversial issue in the question whether the subjective view may be superior to the objective view is Jaynes’ claim that his Maximum Entropy approach would yield an ‘almost unbelievably short’ proof of the Second Law of Thermodynamics"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-24-0","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"To me, the main weakness seems to be the reference to a supposed process of equilibration."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-24-1","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"To sum up, a subjective view on probability in statistical physics is clearly a viable view to take, when dealing with ensembles. But substantial issues within this approach remain: whether one takes a Bayesian, a de Finettian, or a Jaynesian approach on how to model the impact of empirical evidence."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-24-2","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"new problem. If all probability distributions over phase space are equally admissible because they all represent a possible state of mind for some rational agent, then how does one explain that statistical mechanics has such extraordi- nary success in reproducing, and sometimes even predicting, the properties of"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/UffinkJ_2011_Subjective_Probability_and_Statistical_Physics.pdf-annot-1-2","file":"/home/thomas/OneDrive/org-roam/Uffink2011.org","title":"ubjective attributes of an object thus seem to reside in the mind perceiving or contemplating the object rather than to be inherent in the object itself,"},{"id":"96aec7c9-c31b-48da-9872-2690b057e7ca","file":"/home/thomas/OneDrive/org-roam/20210219125647-quantum_of_resistance.org","title":"quantum of resistance"},{"id":"0bbb9ce7-191f-4fde-8924-cad8a3886e2e","file":"/home/thomas/OneDrive/org-roam/20210403175539-group.org","title":"Group"},{"id":"0b697698-9e37-4bd7-a833-5580e878925e","file":"/home/thomas/OneDrive/org-roam/20210119122414-idealizations_should_be_distinguished_by_outcome_not_by_operation.org","title":"idealizations should be distinguished by outcome, not by operation"},{"id":"a12d8d0a-5036-4f17-b3e4-910afa0269fa","file":"/home/thomas/OneDrive/org-roam/20210114163638-supervaluationism.org","title":"supervaluationism"},{"id":"d251fd60-bb9d-4eb1-a921-6b57980fd9e7","file":"/home/thomas/OneDrive/org-roam/20210212141329-being_right_is_much_less_important_than_being_cooperative.org","title":"Being right is much less important than being cooperative"},{"id":"f9b6b3d9-46b8-4e98-92fc-581b25d8e397","file":"/home/thomas/OneDrive/org-roam/An_Idea_Of_My_Structure.org","title":"Specific Feedback Questions"},{"id":"26cf4180-c383-462c-8a35-2698bc11003a","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"Strevens2019a: The structure of asymptotic idealization"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-1-22","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"“asymptotic explanations” (Batterman 2002). Such idealizations, he claims dramatically, though they rest on infinities that do not exist in the physical world, are essential for explaining certain physical behaviors; they do this by revealing emergent qualitative features of the situation that dominate the relevant actual physics and so “constrain and largely determine” what happens, or at least those aspects of what happens that are to be explained."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-2-14","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"This essay attempts to make a contribution to the topic by posing the following question: is there any interesting difference between the rules that govern idealization in such canonical non-infinitary cases as frictionless planes and ideal gases, on the one hand, and Batterman’s asymptotic cases, on the other?"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-2-15","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"2 Simple idealization"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-2-16","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"These fictions [false representations in models] are called (at least when deliberate rather than inadvertent) idealizations."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-3-32","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"in addition to simplification: idealizations call attention to factors that are explanatorily irrelevant to the target phenomenon"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-3-33","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"I will introduce asymptotic idealization by contrasting it with what I will call sim- ple idealization."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-3-34","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"I say that a simple idealization notionally begins with a non-idealized model of the target phenomenon"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-3-35","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"Now an idealization is made—the veridical model is altered in some way that makes it no longer veridical. In a simple idealization, this is achieved by the straightforward operation of setting some parameter or parameters in the model to non-actual values, often zero."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-4-20","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":". If the idealization is a valid one, the new model is, like the old veridical model, a good model of the target phenomenon"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-4-21","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"Further, the new model will do whatever idealized models are supposed to do: it will ease calculations, or it will effectively spotlight irrelevant factors."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-4-22","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"The salient characteristic of a simple idealization, then, is that a simple operation, namely, a change in the parameters of the veridical model, creates a new, partly fictional model that continues to model and indeed to explain the target phenomenon."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-4-23","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"In asymptotic idealization, by contrast, a fiction is introduced by taking some sort of limit."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-4-24","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"a limit is taken as that parameter approaches zero. In some cases, taking a limit in this way is merely a roundabout path to a destination that can be more easily reached by simple idealization."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-4-25","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"Asymptotic idealization is an interesting proposition, then, only in those cases where a simple substitution cannot be performed, which is to say only in those cases where a veridical model for mathematical reasons falls apart or otherwise behaves badly at the limiting value."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-4-26","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"Norton (2012) has recently argued, however, that in these “interesting” cases, an asymptotically derived structure cannot be regarded as a genuine explanatory model of the system in question"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-4-27","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"To assess Norton’s argument, we need a more precise understanding of asymp- totic idealizing explanation."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-4-28","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"to counter Norton and to affirm Batterman, showing that not all idealization is simple idealization."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-5-20","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"3 Population genetics and determinism"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-6-21","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"In order to “idealize away” drift simply, what is wanted is a parameter in such a probability distribution that can be set to zero (or some other value) to obtain a deterministic process"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-6-22","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"But there is, in general, no such parameter. There is no sim- ple idealization, then, that transforms a more realistic, hence stochastic, population genetics model (let alone a veridical model) into a deterministic model."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-6-23","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"One way forward is to build a deterministic model from scratch, and to rationalize the use of the model to explain by poinyinh out that its behavior closely tracks the behavior of the real system in the relevant aspects."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-6-24","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"This strategy is what Norton calls “approximation”"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-6-25","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"An alternative strategy employed by some population geneticists is, by contrast, explicitly asymptotic"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-6-26","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"Deterministic models can be viewed as derived from more realistic models under the assumption that population size is infinite—since in an infinite population, there is no drift."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-6-27","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"Drift cannot be set to zero directly, then, but it can zeroed indirectly by taking population size, another parameter in stochastic models, to be infinitely large."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-6-28","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"That may sound like a simple idealization. As I will show you in the next section, however, it is not: the population size in a stochastic model cannot be set to infinity, not even by allowing the structure of the model to creep up to infinity by way of a lim- iting process."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-7-19","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"4 Interpreting the infinite population idealization"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-9-19","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"when the population size becomes infinite, the structure over which the models assign probabilities disintegrates."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-9-20","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"Relative frequencies (other than zero and one) are defined only for finite populations: if there are infinitely many As and infinitely many Bs, there is no determinate ratio of one to the other"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-9-21","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"In an infinite population, probability mathematicians therefore turn to limiting fre- quencies. But a limiting frequency is defined only relative to an ordering of outcomes"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-9-22","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"Consequently, the infinite population idealization cannot be treated as a simple idealization in which the population is set to infinity. How, then, to understand it? There are three options:"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-9-23","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"3. The infinite population idealization is a successful idealization, but it is not a simple idealization."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-10-26","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"Perhaps the least satisfying feature of this revisionary approach is its implication that no evolutionary events can be properly understood using a deterministic population genetics model—since such a construct is not itself a legitimate model of the system, but is rather only a mathematical heuristic to calculate what a certain legitimate model will predict."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-11-23","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"The first two interpretations of the infinite population idealization, then, are inad- equate. If my reading is correct, then population geneticists such as Gillespie and Edwards treat deterministic models as genuine models that can be used (when cir- cumstances are right) to explain real events."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-11-24","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"We must therefore embrace the third option presented above: the infinite population idealization is a genuine idealization, but not a simple idealization. It is an asymptotic idealization."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-11-25","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"5 Infinite populations as asymptotic extrapolations"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-11-26","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"Simple idealization is achieved by a simple act of parameter substitution: the scientist takes the veridical model and alters the value of one or more parameters."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-12-20","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"Asymptotic idealization is achieved by a more complex process that I will call asymp- totic extrapolation."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-12-21","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"First—of course—asymptotic extrapolation applied to a stochastic population genetics model should lead to a derministic model without being illogical."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-12-22","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"Second, asymptotic extrapolation should go over and above simple idealization: it's not just simple idealization in disguise, as Norton things;"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-12-23","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"Third, asymptotic extrapolation should be to Batterman's liking (I like this one the least)"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-12-24","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"Fourth, the account of asymp- totic extrapolation ought to be compatible with just about any philosophical approach to explanation, idealization, or the nature of scientific models. (I dig this, we shouldn't favor a specific account of explanation)"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-12-25","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"And fifth, the operation should more or less capture the intuitive line of thought, associated with Fig. 1, that leads population geneticists to say that in infinite populations there is no drift. (so there is no option to say that what they're doing is wrong, how boring)"},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-15-21","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"The question, then: in virtue of what ought we to regard such models as repre- senting the behavior of infinite populations? I propose a conventionalist answer: the assumption of infinitude is simply built in to the practice of asymptotic idealization."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-15-22","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"Idealization, I suggest, is a rhetorical strategy to underline a fac- tor’s explanatory irrelevance."},{"id":"/home/thomas/OneDrive/HPS/Thesis/Papers/Thesis/General/Explanation_Idealization/Idealizations_Proper/StrevensM_2019_The_structure_of_asymptotic_idealization.pdf-annot-16-14","file":"/home/thomas/OneDrive/org-roam/Strevens 2007 - The Structure of Asymptotic Idealization.org","title":"Mere fiction is, however, not always sufficient to alert the scientific community to an idealization—the falsehood might, after all, be an inadvertent error. 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The intuitive idea is that we should always choose the distribution that corresponds to a maximal amount of uncertainty, i.e. is maximally non-committal with respect to the missing information."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/FriggR__A_Field_Guide_to_Recent_Work_in_the_Foundations_of_Statistical_Mechanics.pdf-annot-73-1","file":"/home/thomas/OneDrive/org-roam/Frigg.org","title":"ut why is this a sound rule? 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for its validity on the truth of additional assumptions not contained in the laws of mechanics (such as ergodicity, metric transitivity, equal a priori probabilities, etc.)."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/JaynesE_1957_Information_Theory_and_Statistical_Mechanics.pdf-annot-1-2","file":"/home/thomas/OneDrive/org-roam/Jaynes1957.org","title":"Such an argument (for the validity of SM from micro to macro) should (a) be free from objection on mathematical grounds, (b) involve no additional arbitrary assumptions and c) automatically include and explanation of nonequilibrium conditions etc"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/JaynesE_1957_Information_Theory_and_Statistical_Mechanics.pdf-annot-2-1","file":"/home/thomas/OneDrive/org-roam/Jaynes1957.org","title":"In this paper we suggest a reinterpretation of statistical mechanics which accomplishes [the finding of new viepoints from which TD entropy and information theoretic entropy appear the same], so that information theory can be applied to the problem of justification of statistical mechanics."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/JaynesE_1957_Information_Theory_and_Statistical_Mechanics.pdf-annot-2-2","file":"/home/thomas/OneDrive/org-roam/Jaynes1957.org","title":"Section 2 defines and establishes some of the ele- mentary properties of maximum-entropy inference, and in Secs. 3 and 4 the application to statistical mechanics is discussed."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/JaynesE_1957_Information_Theory_and_Statistical_Mechanics.pdf-annot-2-0","file":"/home/thomas/OneDrive/org-roam/Jaynes1957.org","title":"Secondly, the paradox regarding the entropy of com- bined systems, which was resolved only by adoption of the generic instead of the specific definition of phase, an assumption which seems impossible to justify in terms of classical notions."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/JaynesE_1957_Information_Theory_and_Statistical_Mechanics.pdf-annot-2-3","file":"/home/thomas/OneDrive/org-roam/Jaynes1957.org","title":"In freeing the theory from its apparent dependence on physical hypotheses qf the above type, we make it possible to see statistical mechanics in a much more general light. Its principles and mathematical methods become available for treatment of many new physical problems."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/JaynesE_1957_Information_Theory_and_Statistical_Mechanics.pdf-annot-3-0","file":"/home/thomas/OneDrive/org-roam/Jaynes1957.org","title":"This problem of specification of probabilities in cases where little or no information is available, is as old as the theory of probability."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/JaynesE_1957_Information_Theory_and_Statistical_Mechanics.pdf-annot-3-1","file":"/home/thomas/OneDrive/org-roam/Jaynes1957.org","title":"For further discussion of this problem, one must recognize the fact that probability theory has developed in two very different directions as regards fundamental notions."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/JaynesE_1957_Information_Theory_and_Statistical_Mechanics.pdf-annot-3-2","file":"/home/thomas/OneDrive/org-roam/Jaynes1957.org","title":"Although the theories of subjective and objective probability are mathematically identical; the cor:cepts themselves refuse to be united. In the vanous statlstlcal problems presented to us by physics, both viewpoints are required."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/JaynesE_1957_Information_Theory_and_Statistical_Mechanics.pdf-annot-3-3","file":"/home/thomas/OneDrive/org-roam/Jaynes1957.org","title":"The problem posed at the beginning of this section is of this type [namely ones that objectivists consider meaningless], and therefore in considering it we are necessarily adopting the subjective point of view."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/JaynesE_1957_Information_Theory_and_Statistical_Mechanics.pdf-annot-3-4","file":"/home/thomas/OneDrive/org-roam/Jaynes1957.org","title":"Problem: find probability assignment that avoids bias and agrees with whatever info is given. Info theory gives us a \"unique unambiguous\" criterion for uncertainty which agrees with our intuitive conception of how prob dists work"},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/JaynesE_1957_Information_Theory_and_Statistical_Mechanics.pdf-annot-3-5","file":"/home/thomas/OneDrive/org-roam/Jaynes1957.org","title":"Since this is just the expression for entropy as found in statistical mechanics, it will be called the entropy of the probability distri- bution Pi; henceforth we will consider the terms \"entropy\" and \"uncertainty\" as synonymous."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/JaynesE_1957_Information_Theory_and_Statistical_Mechanics.pdf-annot-4-1","file":"/home/thomas/OneDrive/org-roam/Jaynes1957.org","title":"The principle of maximum entropy may be regarded as an extension of the principle of insufficient reason (to which it reduces in case no information is given except enumeration of the possibilities Xi), with the following essential difference. The maximum-entropy distribution may be asserted for the positive reason that it is uniquely determined as the one which is maximally noncommittal with regard to missing infor- mation, instead of the negative one that there was no reason to think otherwise."},{"id":"/mnt/c/Users/thoma/OneDrive/HPS/Thesis/Papers/Thesis/Physics/Foundations_of_SM/JaynesE_1957_Information_Theory_and_Statistical_Mechanics.pdf-annot-4-0","file":"/home/thomas/OneDrive/org-roam/Jaynes1957.org","title":"It is now evident how to solve our problem; in making il\\,ferences on the basis of partial information we must use that probability distribution which has maximum entropy subject to whatever is known. 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