# Logical Probability and the Strength of Mathematical Conjectures

@article{Franklin2016LogicalPA, title={Logical Probability and the Strength of Mathematical Conjectures}, author={James Franklin}, journal={The Mathematical Intelligencer}, year={2016}, volume={38}, pages={14-19} }

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.

## 4 Citations

Bayesian Perspectives on Mathematical Practice

- Mathematics
- 2020

The (objective) Bayesian view of probability is explained, which gives a theoretical framework for unifying evidence evaluation in science and law as well as in mathematics and how the evaluation of evidence for conjectures works in mathematical practice.

Hung Jury: The Verdict on Uncertainty

- Philosophy
- 2020

Classical probability and the statistical methods built around it, like hypothesis testing, have been shown to have many glaring weaknesses, as the work of Hung Nguyen has shown with clarity and…

Bayesian Perspectives on Mathematical Practice

- MathematicsHandbook of the History and Philosophy of Mathematical Practice
- 2021

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