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Principled Chances
Abstract
There are at least three core principles that define the chance role: (1) the Principal Principle, (2) the Basic Chance Principle, and (3) the Humean Principle. These principles seem mutually incompatible. At least, no extant account of chance meets more than one of them. I offer an account of chance which meets all three: L*‐chance. So the good news is that L*‐chance meets (1)–(3). The bad news is that L*‐chance turns out unlawful and unstable. But perhaps this is not such bad news: L*‐chance turns out to at least approximate plausible additional core principles concerning lawfulness and stability. And perhaps there is better news: one may treat ‘chance’ as vague, in a way that allows every core principle of chance to be met. 1 Introduction 2 Chance principles 3 Chance principals 4 Principled chance? 5 Unprincipled chance? 6 Principled chances
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- Robert Black, 2001, defending Necessitarianism, concedes that the PP shall have to be taken as `a primitive principle of reason' ([1998]
- Such, moreover, would violate the BCP. Let w be a world with infinitely many coin flips, exhibiting a .5 limiting relative frequency of heads
- Actually, Armstrong himself is committed to violations of the BCP in virtue of his denial of uninstantiated universals (Armstrong [1997], pp.38-43). Suppose that N:5 (F, G), that F occurs just once, and that G occurs just that once. By the BCP there must be a comparable world w0in which F occurs and G does not. But Armstrong cannot allow this because G will be uninstantiated at w0, and so N:5 (F, G) cannot exist at w0. Since this problem involves (i) a fairly exotic case, and (ii) optional features of Armstrong's metaphysics, I will not pursue this complaint further.
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- For Lewis, causation requires probability-raising `by a large factor' ([1986], pp.176-177; Lewis's new influence theory ([2000], p. 182) is silent here), which is a further aspect of vagueness. What is interesting about this aspect of vagueness is that it would more or less wash out the minor differences between L-chance and L*-chance in assessing causality. So,for Lewis, treating `chance' as vague might not engender any further vagueness in causality.
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Metadata
- Authors
- Schaffer, J.
- Corresponding author
- Schaffer, Jonathan
- ORCID
- Schaffer, Jonathan
- Venue
- The British Journal for the Philosophy of Science
- Publisher
- University of Chicago Press
- Published
- 2003-03-01
- Volume
- 54
- Issue
- 1
- Pages
- 27-41
- ISSN
- 0007-0882 (ISSN-L)
- 1464-3537
- OpenAlex
- W4247040838
- Cited by
- 29
- References
- 0
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 2 · 2023: 2 · 2022: 1 · 2021: 3 · 2018: 1 · 2017: 2 · 2016: 1 · 2015: 2 · 2014: 1 · 2012: 2
- FWCI
- 13.69
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- The British Journal for the Philosophy of Science (publishedVersion)
- Topics
- Social Sciences › Arts and Humanities › Philosophy › Epistemology, Ethics, and Metaphysics
- Social Sciences › Arts and Humanities › Philosophy › Literary, Cultural, Historical Analysis
- Social Sciences › Arts and Humanities › History and Philosophy of Science › Philosophy of Biology and Scientific Explanation
- Keywords
- chance, Principal Principle, legality, stability, vagueness, inductive probability
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