Mathematical Structuralism

Mathematical Structuralism
Author :
Publisher : Cambridge University Press
Total Pages : 167
Release :
ISBN-10 : 9781108630740
ISBN-13 : 110863074X
Rating : 4/5 (40 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
The Prehistory of Mathematical Structuralism
Language: en
Pages: 469
Authors: Erich H. Reck
Categories: Mathematics
Type: BOOK - Published: 2020 - Publisher: Oxford University Press

DOWNLOAD EBOOK

This edited volume explores the previously underacknowledged 'pre-history' of mathematical structuralism, showing that structuralism has deep roots in the histo
Conceptions of Set and the Foundations of Mathematics
Language: en
Pages: 255
Authors: Luca Incurvati
Categories: History
Type: BOOK - Published: 2020-01-23 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Presents a detailed and critical examination of the available conceptions of set and proposes a novel version.
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
The Metaphysics and Mathematics of Arbitrary Objects
Language: en
Pages: 251
Authors: Leon Horsten
Categories: History
Type: BOOK - Published: 2019-06-13 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Develops and defends a new metaphysical and logical theory of arbitrary objects that will reinvigorate the philosophy of mathematics.