Mathematics Without Numbers: Towards a Modal-Structural Interpretation
Oxford University Press (1989)
| Abstract | Develops a structuralist understanding of mathematics, as an alternative to set- or type-theoretic foundations, that respects classical mathematical truth while ... | |||||||||
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| ISBN(s) | 0198240341 9780198240341 | |||||||||
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Charles Sayward (2002). A Conversation About Numbers and Knowledge. American Philosophical Quarterly 39 (3):275-287.
Mark Eli Kalderon (1996). What Numbers Could Be (and, Hence, Necessarily Are). Philosophia Mathematica 4 (3):238-255.
Stewart Shapiro (2005). Categories, Structures, and the Frege-Hilbert Controversy: The Status of Meta-Mathematics. Philosophia Mathematica 13 (1):61-77.
John Bigelow (1988). The Reality of Numbers: A Physicalist's Philosophy of Mathematics. Oxford University Press.
Geoffrey Hellman (1990). Toward a Modal-Structural Interpretation of Set Theory. Synthese 84 (3):409 - 443.
Christopher Pincock (2009). Towards a Philosophy of Applied Mathematics. In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave Macmillan.
Hellman Geoffrey (1996). Structuralism Without Structures. Philosophia Mathematica 4 (2):100-123.
Andrei Rodin (2011). Categories Without Structures. Philosophia Mathematica 19 (1):20-46.
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