Introduction

Saunders Mac Lane
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Saunders Mac Lane: University of Chicago, Department of Mathematics

A chapter in Mathematics Form and Function, 1986, pp 1-5 from Springer

Abstract: Abstract This book is intended to describe the practical and conceptual origins of Mathematics and the character of its development—not in historical terms, but in intrinsic terms. Thus we ask: What is the function of Mathematics and what is its form? In order to deal effectively with this question, we must first observe what Mathematics is. Hence the book starts with a survey of the basic parts of Mathematics, so that the intended general questions can be answered against the background of a careful assembly of the relevant evidence. In brief, a philosophy of Mathematics is not convincing unless it is founded on an examination of Mathematics itself. Wittgenstein (and other philosophers) have failed in this regard.

Keywords: Mathematical Object; Ring Theory; Elementary Mathematic; Mathematical Truth; Historical Term (search for similar items in EconPapers)
Date: 1986
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DOI: 10.1007/978-1-4612-4872-9_1

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