Communications in Humanities Research
- The Open Access Proceedings Series for Conferences
Communications in Humanities Research
Vol. 9, 31 October 2023
Open
Access | Article
For Mathematical Truth to Be Known: A Provability-based Condition Construction
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Abstract
One of the defining characteristics of mathematics is its emphasis on proof, which is the process of demonstrating the truth or falsehood of a mathematical claim through a rigorous and logical argument. However, while the concept of proof is central to mathematics, it is also a complex and multifaceted notion that raises a range of philosophical and practical questions. This article proposed a condition beyond the JTB framework for mathematical knowledge by using mathematics provability with a careful reflection on Gettier cases.
Keywords
justified true belief theory, provability, mathematical knowledge
References
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3. Whitesmith, Martha. “Justified true belief theory for intelligence analysis.” Intelligence and National Security 37.6 (2022): 835-849.
4. Turri, John. “In Gettier’s wake.” Epistemology: The key thinkers (2012): 214-229.
5. Gettier, Edmund. “Is justified true belief knowledge?.” Arguing about knowledge. Routledge, 2020. 14-15.
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7. Benacerraf, Paul. “Mathematical truth.” The Journal of Philosophy 70.19 (1973): 661-679.
8. Noonan, Harold. Routledge Philosophy Guidebook to Kripke and Naming and Necessity. Routledge, 2014.
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Data Availability
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
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- Volume Title
- Proceedings of the 4th International Conference on Educational Innovation and Philosophical Inquiries
- ISBN (Print)
- 978-1-83558-041-7
- ISBN (Online)
- 978-1-83558-042-4
- Published Date
- 31 October 2023
- Series
- Communications in Humanities Research
- ISSN (Print)
- 2753-7064
- ISSN (Online)
- 2753-7072
- DOI
- 10.54254/2753-7064/9/20231117
- Copyright
- 31 October 2023
- Open Access
- This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited