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North Holland - Philosophy of Mathematics Book

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Description

Explore the deep questions behind mathematical certainty with Philosophy of Mathematics by North Holland. This text examines the fundamental nature of mathematical knowledge and what it truly represents. While we often feel certain about mathematical truths, the nature of those truths remains a subject of intense debate among scholars. This work addresses whether numbers, sets, functions, and groups are physical entities or if they exist as objective objects in a non-physical realm. It also looks at whether these concepts are ideas residing only in the human mind or if mathematical truths exist without any referents at all. Designed for those interested in the intersection of science and logic, this book provides a platform to study the core issues that drive philosophers and mathematicians to investigate the very foundations of their field. It is an essential read for anyone looking to understand the ontological status of mathematical structures.

Key Features

Examines the nature of mathematical knowledge and how certainty relates to mathematical truths.

Investigates whether mathematical entities like sets and functions are physical or non-physical objects.

Explores the debate between mathematical realism and the idea that math exists only in the mind.

Addresses whether mathematical truths require referents or exist independently of any physical reality.

Provides a foundation for understanding the core questions that motivate mathematicians and philosophers.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
07 August 2013
Listed Since
07 August 2013

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