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(1997) Philosophy of mathematics today, Dordrecht, Springer.
Categorical foundations of the protean character of mathematics
pp. 117-122
Mathematics is protean; it is that part of science which deals with "things," each of which can appear in many different applications. The "things" are often described as "structures". Despite the familiar emphasis on set-theory, these structures are more than just sets; thus a group G is a set such that any two elements g and h of the group G have a product gh with the usual good algebraic properties. A vector space V is a set of things (vectors) which can be suitably added and suitably multiplied by scalars (real numbers).
Publication details
DOI: 10.1007/978-94-011-5690-5_7
Full citation:
(1997)., Categorical foundations of the protean character of mathematics, in E. Agazzi & G. Darvas (eds.), Philosophy of mathematics today, Dordrecht, Springer, pp. 117-122.
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