Abstraction and Infinity 1st Edition Paolo Mancosu 0191063800 9780191063800

This completed downloadable of Abstraction and Infinity 1st Edition Paolo Mancosu

Instant downloaded Abstraction and Infinity 1st Edition Paolo Mancosu pdf docx epub after payment.

Product details:

• ISBN 10: 0191063800
• ISBN 13: 9780191063800
• Author: Paolo Mancosu

Paolo Mancosu provides an original investigation of historical and systematic aspects of the notions of abstraction and infinity and their interaction. A familiar way of introducing concepts in mathematics rests on so-called definitions by abstraction. An example of this is Hume’s Principle, which introduces the concept of number by stating that two concepts have the same number if and only if the objects falling under each one of them can be put in one-one correspondence. This principle is at the core of neo-logicism. In the first two chapters of the book, Mancosu provides a historical analysis of the mathematical uses and foundational discussion of definitions by abstraction up to Frege, Peano, and Russell.

Table of contents:

1: The mathematical practice of definitions by abstraction from Euclid to Frege (and beyond)

2: The logical and philosophical reflection on definitions by abstraction: From Frege to the Peano s

3: Measuring the size of infinite collections of natural numbers: Was Cantor’s theory of infinite

4: In good company? On Hume’s Principle and the assignment of numbers to infinite concepts

People also search:

what is memory abstraction

what is abstraction of reality

abstraction meaning in math

infinity and absolute infinity

abstraction and design in computation