The 'Popperian programme' and mathematics. Part I: The fallibilist logic of mathematical d

2025-01-10 Classification：Philosophy Click()
Author：Glas, E

Article Title：The 'Popperian programme' and mathematics. Part I: The fallibilist logic of mathematical discovery

Abstract：
Lakatos's Proofs and Refutations is usually understood as an attempt to apply Popper's methodology of science to mathematics. This view has been challenged because despite appearances the methodology expounded in it deviates considerably from what would have been a straightforward application of Popperian maxims. I take a closer look at the Popperian roots of Lakatos's philosophy of mathematics, considered not as an application but as an extension of Popper's critical programme, and focus especially on the core ideas of this programme as they appeared where Popper specifically addressed philosophical problems concerning mathematics. (C) 2001 Elsevier Science Ltd. All rights reserved.

Keywords: Popper; Lakatos; mathematics; critical programme

DOI: 10.1016/S0039-3681(00)00037-6

Source：STUDIES IN HISTORY AND PHILOSOPHY OF SCIENCE

Welcome to correct the error, please contact email: humanisticspider@gmail.com

Related Reading

The scope of Turing's analysis of effective proceduresThe scope of Turing's analysis of effective procedures
The development, evolution and philosophy of a clinical research unitThe development, evolution and philosophy of a clinical research unit
Design philosophy issues of fiber reinfored polymer reinforced concrete structuresDesign philosophy issues of fiber reinfored polymer reinforced concrete structures
Building simple mechanical minds using Lego® robots for research and teaching in philosophyBuilding simple mechanical minds using Lego® robots for research and teaching in philosophy