Lakatos’ Quasi-empiricism in the Philosophy of Mathematics

Polish Journal of Philosophy 9 (2):71-80 (2015)
Authors
Michael Shaffer
St. Cloud State University
Abstract
Imre Lakatos' views on the philosophy of mathematics are important and they have often been underappreciated. The most obvious lacuna in this respect is the lack of detailed discussion and analysis of his 1976a paper and its implications for the methodology of mathematics, particularly its implications with respect to argumentation and the matter of how truths are established in mathematics. The most important themes that run through his work on the philosophy of mathematics and which culminate in the 1976a paper are (1) the (quasi-)empirical character of mathematics and (2) the rejection of axiomatic deductivism as the basis of mathematical knowledge. In this paper Lakatos' later views on the quasi-empirical nature of mathematical theories and methodology are examined and specific attention is paid to what this view implies about the nature of mathematical argumentation and its relation to the empirical sciences.
Keywords Lakatos  Mathematics  Empiricism  Imagination
Categories (categorize this paper)
ISBN(s) 1897-1652
DOI 10.5840/pjphil20159211
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Lakatos as Historian of Mathematics.Brendan P. Larvor - 1997 - Philosophia Mathematica 5 (1):42-64.
Mathematics as a Quasi-Empirical Science.Gianluigi Oliveri - 2004 - Foundations of Science 11 (1-2):41-79.
Lakatos' Philosophy of Mathematics: A Historical Approach.T. Koetsier - 1991 - Distributors for the U.S. And Canada, Elsevier Science Pub. Co..
What is Dialectical Philosophy of Mathematics?Brendan Larvor - 2001 - Philosophia Mathematica 9 (2):212-229.
What Lakatos Could Teach The Mathematical PHYSICIST.G. Kampis L. Kvasz & M. Stoltzner - 2000 - In G. Kampis, L.: Kvasz & M. Stöltzner (eds.), Appraising Lakatos: Mathematics, Methodology and the Man. Kluwer Academic Publishers. pp. 1--157.

Analytics

Added to PP index
2016-05-13

Total views
38 ( #180,604 of 2,313,513 )

Recent downloads (6 months)
21 ( #25,195 of 2,313,513 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature