Abstraction and Infinity
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Published By Oxford University Press

9780198746829

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Measuring the size of infinite collections of natural numbers: Was Cantor’s theory of infinite number inevitable?

Abstraction and Infinity ◽

10.1093/acprof:oso/9780198746829.003.0004 ◽

2016 ◽

pp. 116-153

Author(s):

Paolo Mancosu

Keyword(s):

Infinite Number ◽

Natural Numbers

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

Abstraction and Infinity ◽

10.1093/acprof:oso/9780198746829.003.0002 ◽

2016 ◽

pp. 12-59

Author(s):

Paolo Mancosu

Keyword(s):

Mathematical Practice

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

Abstraction and Infinity ◽

10.1093/acprof:oso/9780198746829.003.0005 ◽

2016 ◽

pp. 154-202

Author(s):

Paolo Mancosu

Keyword(s):

Hume’S Principle

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Introduction

Abstraction and Infinity ◽

10.1093/acprof:oso/9780198746829.003.0001 ◽

2016 ◽

pp. 1-11

Author(s):

Paolo Mancosu

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The logical and philosophical reflection on definitions by abstraction: From Frege to the Peano school and Russell

Abstraction and Infinity ◽

10.1093/acprof:oso/9780198746829.003.0003 ◽

2016 ◽

pp. 60-115

Author(s):

Paolo Mancosu

Keyword(s):

Philosophical Reflection

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