Franklin, James (2016) Logical probability and the strength of mathematical conjectures. Mathematical Intelligencer, 38 (3). pp. 14-19. ISSN 1866-7414
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Abstract
Mathematicians often speak of the evidence for unproved conjectures, such as the Riemann Hypothesis. It is argued that such evidence should be seen in terms of logical probability in Keynes's sense: a strictly logical degree of partial implication. That is essentially the same as objective Bayesianism. Examples are given and explained in terms of the objective logical strength of evidence.
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Item Type: | Published Article or Volume | ||||||
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Keywords: | Non-deductive logic; mathematical conjectures; Bayesianism | ||||||
Subjects: | Specific Sciences > Mathematics > Logic Specific Sciences > Mathematics > Methodology Specific Sciences > Mathematics > Practice Specific Sciences > Probability/Statistics |
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Depositing User: | James Franklin | ||||||
Date Deposited: | 20 Oct 2019 01:03 | ||||||
Last Modified: | 20 Oct 2019 01:03 | ||||||
Item ID: | 16562 | ||||||
Journal or Publication Title: | Mathematical Intelligencer | ||||||
Publisher: | Springer | ||||||
Official URL: | https://link.springer.com/article/10.1007/s00283-0... | ||||||
DOI or Unique Handle: | https://doi.org/10.1007/s00283-015-9612-3 | ||||||
Subjects: | Specific Sciences > Mathematics > Logic Specific Sciences > Mathematics > Methodology Specific Sciences > Mathematics > Practice Specific Sciences > Probability/Statistics |
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Date: | 2016 | ||||||
Page Range: | pp. 14-19 | ||||||
Volume: | 38 | ||||||
Number: | 3 | ||||||
ISSN: | 1866-7414 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/16562 |
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