Inference to the Best Explanation Is an Important Form of Reasoning in Mathematics-Reference-Cited by-同舟云学术

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Inference to the Best Explanation Is an Important Form of Reasoning in Mathematics

Published:2021-08-26 Issue: Volume: Page:
ISSN:0343-6993
Container-title:The Mathematical Intelligencer
language:en
Short-container-title:Math Intelligencer

Author:

Lange Marc^ORCID

Publisher

Springer Science and Business Media LLC

Subject

History and Philosophy of Science,General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00283-021-10112-7.pdf

Reference26 articles.

1. James Robert Brown 2008. Philosophy of Mathematics: A Contemporary Introduction to the World of Proofs and Pictures, 2nd ed. London: Routledge.

2. James Robert Brown 2017. Proofs and Guarantees. The Mathematical Intelligencer 39(4): 47–50.

3. James Franklin 2013. Non-Deductive Logic in Mathematics: The Probability of Conjectures. In Andrew Aberdein and Ian J. Dove (eds.), The Argument of Mathematics. Dordrecht: Springer, pp. 11–29.

4. Jonathan Borwein and Keith Devlin 2009. The Computer as Crucible: An Introduction to Experimental Mathematics. Wellesley: AK Peters.

5. Fernando Rodriguez Villegas 2007. Experimental Number Theory. Oxford: Oxford University Press.

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1. Non-deductive Justification in Mathematics;Handbook of the History and Philosophy of Mathematical Practice;2024

2. Pursuing the traces of mathematical reasoning;Asia Pacific Education Review;2023-09-21

3. Confirming Mathematical Conjectures by Analogy;Erkenntnis;2023-04-24

4. Reasoning by Analogy in Mathematical Practice;Philosophia Mathematica;2023-02-20

5. Non-deductive Justification in Mathematics;Handbook of the History and Philosophy of Mathematical Practice;2023

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