Mathematical Structuralism

Mathematical Structuralism
Author :
Publisher : Cambridge University Press
Total Pages : 167
Release :
ISBN-10 : 9781108630740
ISBN-13 : 110863074X
Rating : 4/5 (74X Downloads)

Book Synopsis Mathematical Structuralism by : Geoffrey Hellman

Download or read book Mathematical Structuralism written by Geoffrey Hellman and published by Cambridge University Press. This book was released on 2018-11-29 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present work is a systematic study of five frameworks or perspectives articulating mathematical structuralism, whose core idea is that mathematics is concerned primarily with interrelations in abstraction from the nature of objects. The first two, set-theoretic and category-theoretic, arose within mathematics itself. After exposing a number of problems, the Element considers three further perspectives formulated by logicians and philosophers of mathematics: sui generis, treating structures as abstract universals, modal, eliminating structures as objects in favor of freely entertained logical possibilities, and finally, modal-set-theoretic, a sort of synthesis of the set-theoretic and modal perspectives.


Mathematical Structuralism Related Books

Mathematical Structuralism
Language: en
Pages: 167
Authors: Geoffrey Hellman
Categories: Science
Type: BOOK - Published: 2018-11-29 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

The present work is a systematic study of five frameworks or perspectives articulating mathematical structuralism, whose core idea is that mathematics is concer
Essentials of Structural Equation Modeling
Language: en
Pages: 120
Authors: Mustafa Emre Civelek
Categories: Business & Economics
Type: BOOK - Published: 2018-03-12 - Publisher: Lulu.com

DOWNLOAD EBOOK

Structural Equation Modeling is a statistical method increasingly used in scientific studies in the fields of Social Sciences. It is currently a preferred analy
Applying Mathematics
Language: en
Pages: 276
Authors: Otávio Bueno
Categories: Science
Type: BOOK - Published: 2018-05-24 - Publisher: Oxford University Press

DOWNLOAD EBOOK

How is that when scientists need some piece of mathematics through which to frame their theory, it is there to hand? What has been called 'the unreasonable effe
A Structural Account of Mathematics
Language: en
Pages: 395
Authors: Charles S. Chihara
Categories: Language Arts & Disciplines
Type: BOOK - Published: 2004 - Publisher: Clarendon Press

DOWNLOAD EBOOK

Charles Chihara's new book develops and defends a structural view of the nature of mathematics, and uses it to explain a number of striking features of mathemat
Mathematics as a Science of Patterns
Language: en
Pages: 300
Authors: Michael D. Resnik
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: Oxford University Press

DOWNLOAD EBOOK

Resnik expresses his commitment to a structuralist philosophy of mathematics and links this to a defence of realism about the metaphysics of mathematics - the v