Rota's Philosophy in its Mathematical Context

Philosophia Mathematica 24 (2):145-184 (2016)
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Abstract

The goal of this paper is to connect Rota's discussion of the Husserlian notion of Fundierung with Rota's project of giving combinatorics a foundation in his 1964 paper ‘On the foundations of combinatorial theory I’. Section 2 gives the basic tenets of this seminal paper. Sections 3 and 4 spell out the connections made there between Rota's philosophical writings and his mathematical achievements. Section 5 shows how these two developments fit into Rota's analysis of the place of combinatorics in mathematics.

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10.1093/philmat/nkv023

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References found in this work

The Structure of Scientific Revolutions.Thomas S. Kuhn - 1962 - Chicago, IL: University of Chicago Press. Edited by Ian Hacking.
Remarks on the foundations of mathematics.Ludwig Wittgenstein - 1956 - Oxford [Eng.]: Blackwell. Edited by G. E. M. Anscombe, Rush Rhees & G. H. von Wright.
Logical investigations.Edmund Husserl - 2000 - New York: Routledge. Edited by Dermot Moran.
The Structure of Science.Ernest Nagel - 1961 - Les Etudes Philosophiques 17 (2):275-275.

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