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Syntax, Semantics, and the Problem of the Identity of Mathematical Objects
Gian-Carlo Rota, David H. Sharp and Robert Sokolowski
Philosophy of Science
Vol. 55, No. 3 (Sep., 1988), pp. 376-386
Stable URL: http://www.jstor.org/stable/187654
Page Count: 11
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A plurality of axiomatic systems can be interpreted as referring to one and the same mathematical object. In this paper we examine the relationship between axiomatic systems and their models, the relationships among the various axiomatic systems that refer to the same model, and the role of an intelligent user of an axiomatic system. We ask whether these relationships and this role can themselves be formalized.
Philosophy of Science © 1988 The University of Chicago Press