Thinking About Mathematics

Product Description

This unique text by Stewart Shapiro looks at a range of philosophical issues & positions concerning mathematics in four comprehensive sections. The first describes questions & issues about mathematics that have motivated philosophers almost since the beginning of intellectual history. Part II is an historical survey discussing the role of mathematics in such thinkers as Plato Aristotle Kant & Mill. The third section covers the three major positions & battle lines throughout the twentieth century: that mathematics is logic (logicism) that the essence of mathematics is the rule-governed manipulation of characters (formalism) & a revisionist philosophy that focuses on the mental activity of mathematics (intuitionism). Finally Part IV looks at contemporary positions & work which brings the reader up-to-date on the discipline. Thinking about Mathematics is accessible to those with little background in either mathematics or philosophy. It is aimed at students & professionals in mathematics who have little contact with academic philosophy & at philosophy students & other philosophers who forgot much of their mathematics.