Mathematical Explanation beyond Explanatory Proof
Abstrak
Much recent work on mathematical explanation has presupposed that the phenomenon involves explanatory proofs in an essential way. I argue that this view, ‘proof chauvinism’, is false. I then look in some detail at the explanation of the solvability of polynomial equations provided by Galois theory, which has often been thought to revolve around an explanatory proof. The article concludes with some general worries about the effects of chauvinism on the theory of mathematical explanation. 1. Introduction2. Why I Am Not a Proof Chauvinist 2.1. Proof chauvinism and mathematical practice2.2. Proof chauvinism and philosophy3. An Example: Galois Theory and Explanatory Proof4. Conclusion Introduction Why I Am Not a Proof Chauvinist 2.1. Proof chauvinism and mathematical practice2.2. Proof chauvinism and philosophy Proof chauvinism and mathematical practice Proof chauvinism and philosophy An Example: Galois Theory and Explanatory Proof Conclusion
Topik & Kata Kunci
Penulis (1)
W. D’Alessandro
Akses Cepat
- Tahun Terbit
- 2020
- Bahasa
- en
- Total Sitasi
- 35×
- Sumber Database
- Semantic Scholar
- DOI
- 10.1093/bjps/axy009
- Akses
- Open Access ✓