The Element begins by claiming that Imre Lakatos (1922-74) in his famous paper 'Proofs and Refutations' (1963-64) was the first to introduce the historical approach to philosophy of mathematics. Section 2 gives a detailed analysis of Lakatos' ideas on the philosophy of mathematics. Lakatos died at the age of only 51, and at the time of this death had plans to continue his work on philosophy of mathematics which were never carried out. However, Lakatos' historical approach to philosophy of mathematics was taken up by other researchers in the field, and Sections 3 and 4 of the Element give an account of how they developed this approach. Then Section 5 gives an overview of what has been achieved so far by the historical approach to philosophy of mathematics and considers what its prospects for the future might be.
Author(s): Donald Gillies
Series: Elements in the Philosophy of Mathematics
Publisher: Cambridge University Press
Year: 2023
Language: English
City: Cambridge
Cover
Title page
Copyright page
Lakatos and the Historical Approach to Philosophy of Mathematics
Contents
1 Introduction
2 Lakatos’ Contribution to the Philosophy of Mathematics
2.1 The Historical Approach to the Philosophy of Science
2.2 Lakatos’ 1963–4 Paper ‘Proofs and Refutations’
2.3 Lakatos’ Impact and His Last Work in Philosophy
of Mathematics
3 Lakatos’ Legacy in the Philosophy of Mathematics I (1975–95)
3.1 Crowe (1975)
3.2 Dauben (1984)
3.3 Dunmore (1992
3.4 Gillies (1992b)
3.5 Giorello (1992)
4 Lakatos’ Legacy in the Philosophy of Mathematics II (1996–2023)
4.1 Mancosu (1996)
4.2 Guicciardini (2009)
4.3 Corfield (2003)
4.4 Kvasz (2008)
4.5 Grosholz (2016)
5 Concluding Remarks
References
