Foundations without Foundationalism. A Case for Second-order Logic.pdf

Foundations without Foundationalism. A Case for Second-order Logic PDF

Stewart Shapiro

Stewart Shapiro presents a distinctive and persuasive view of the foundations of mathematics, arguing controversially that second-order logic has a central role to play in laying these foundations. To support this contention, he first gives a detailed development of second-order and higher-order logic, in a way that will be accessible to graduate students. He then demonstrates that second-order notions are prevalent in mathematics as practised, and that higher-order logic is needed to codify many contemporary mathematical concepts. Throughout, he emphasizes philosophical and historical issues that the subject raises. Foundations without Foundationalism is a key contribution both to philosophy of mathematics and to mathematical logic.

Foundations without foundationalism [electronic … Stanford Libraries' official online search tool for books, media, journals, databases, government documents and more.

5.74 MB Taille du fichier
9780198250296 ISBN
Libre PRIX
Foundations without Foundationalism. A Case for Second-order Logic.pdf

Technik

PC et Mac

Lisez l'eBook immédiatement après l'avoir téléchargé via "Lire maintenant" dans votre navigateur ou avec le logiciel de lecture gratuit Adobe Digital Editions.

iOS & Android

Pour tablettes et smartphones: notre application de lecture tolino gratuite

eBook Reader

Téléchargez l'eBook directement sur le lecteur dans la boutique www.turossheadcountryclub.com.au ou transférez-le avec le logiciel gratuit Sony READER FOR PC / Mac ou Adobe Digital Editions.

Reader

Après la synchronisation automatique, ouvrez le livre électronique sur le lecteur ou transférez-le manuellement sur votre appareil tolino à l'aide du logiciel gratuit Adobe Digital Editions.

Notes actuelles

avatar
Sofya Voigtuh

19 Sep 1991 ... The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to ...

avatar
Mattio Müllers

Smoryński : Review of Stewart Shapiro, Foundations …

avatar
Noels Schulzen

Foundations without Foundationalism: A Case for Second-Order Logic. Stewart Shapiro. Abstract. A language is second‐order, or higher‐order, if it has bound ...

avatar
Jason Leghmann

Foundations without Foundationalism: A Case for …

avatar
Jessica Kolhmann

The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to develop the argument fully, the author presents a detailed description of higher-order logic, including a comprehensive discussion of its semantics. He goes on to demonstrate the prevalence of second-order concepts in mathematics and the extent to [PDF] Foundations Without Foundationalism: A …