[PDF] Set Theory and its Philosophy: A Critical Introduction

Michael Potter presents a complete new philosophical introduction to set principle. Anybody wishing to work on the logical foundations of arithmetic should perceive set principle, which lies at its coronary heart. Download Set Theory and its Philosophy: A Critical Introduction

Potter provides a radical account of cardinal and ordinal arithmetic and the varied axiom candidates. He discusses intimately the challenge of set-theoretic discount, which goals to interpret the remainder of arithmetic when it comes to set principle. The important thing query right here is the best way to cope with the paradoxes that bedevil set principle. Potter provides a strikingly easy model of probably the most broadly accepted response to the paradoxes, which classifies units by way of a hierarchy of ranges.

What makes the e-book distinctive is that it interweaves a cautious presentation of the technical materials with a penetrating philosophical critique. Potter doesn’t merely expound the idea dogmatically however at each stage discusses intimately the explanations that may be provided for believing it to be true. Set Theory and its Philosophy is a key textual content for philosophy, mathematical logic, and pc science.

Set theory and its philosophy: a critical introduction PDF

Author(s): Michael Potter

Publisher: Oxford University Press, Year: 2004

ISBN: 0199269734