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  1. Rota's Philosophy in its Mathematical Context.Sébastien Gandon - 2016 - Philosophia Mathematica 24 (2):145-184.
    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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  • Arguments for the Continuity Principle. [REVIEW]Mark van Atten & Dirk van Dalen - 2002 - Bulletin of Symbolic Logic 8 (3):329-347.
    There are two principles that lend Brouwer's mathematics the extra power beyond arithmetic. Both are presented in Brouwer's writings with little or no argument. One, the principle of bar induction, will not concern us here. The other, the continuity principle for numbers, occurs for the first time in print in [4]. It is formulated and immediately applied to show that the set of numerical choice sequences is not enumerable. In fact, the idea of the continuity property can be dated fairly (...)
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  • Arguments for the Continuity Principle.Mark Van Atten & Dirk Van Dalen - 2002 - Bulletin of Symbolic Logic 8 (3):329 - 347.
    There are two principles that lend Brouwer's mathematics the extra power beyond arithmetic. Both are presented in Brouwer's writings with little or no argument. One, the principle of bar induction, will not concern us here. The other, the continuity principle for numbers, occurs for the first time in print in [4]. It is formulated and immediately applied to show that the set of numerical choice sequences is not enumerable. In fact, the idea of the continuity property can be dated fairly (...)
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