Oppositions and paradoxes in mathematics and philosophy
Axiomathes 15 (2) (2005)
| Abstract | In this paper a number of oppositions which have haunted mathematics and philosophy are described and analyzed. These include the Continuous and the Discrete, the One and the Many, the Finite and the Infinite, the Whole and the Part, and the Constant and the Variable | |||||||||
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Bernard Bolzano (1950). Paradoxes of the Infinite. London, Routledge and Paul.
José Ferreirós Domínguez & Jeremy Gray (eds.) (2006). The Architecture of Modern Mathematics: Essays in History and Philosophy. Oxford University Press.
Benjamín García-Hernández (2003). Paradoxes in the Argumentation of the Comic Double and Classemic Contradiction. Argumentation 17 (1):99-111.
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Joseph S. Alper & Mark Bridger (1997). Mathematics, Models and Zeno's Paradoxes. Synthese 110 (1):143-166.
Shaughan Lavine (1995). Finite Mathematics. Synthese 103 (3):389 - 420.
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