*Take $10 off when you spend $50+! Use code NEWYEAR10. Ends Mon 5 Jan. T&Cs apply.
Track My Order
Help Centre
Likes
My Wish ListsLogin / Join
Booktopia
Australia's local bookstore
Get Free Shipping on orders over $79
Foundations without Foundationalism : A Case for Second-Order Logic - Stewart Shapiro

Foundations without Foundationalism

A Case for Second-Order Logic

By: Stewart Shapiro

eText | 19 September 1991 | Edition Number 1

At a Glance

eText

$87.30

or 4 interest-free payments of $21.82 with

 or 

Instant online reading in your Booktopia eTextbook Library *

Why choose an eTextbook?

Instant Access *

Purchase and read your book immediately

Read Aloud

Listen and follow along as Bookshelf reads to you

Study Tools

Built-in study tools like highlights and more

* eTextbooks are not downloadable to your eReader or an app and can be accessed via web browsers only. You must be connected to the internet and have no technical issues with your device or browser that could prevent the eTextbook from operating.
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 development of higher-order logic, including a comprehensive discussion of its semantics. Professor Shapiro demonstrates the prevalence of second-order notions in mathematics is practised, and also the extent to which mathematical concepts can be formulated in second-order languages . He shows how first-order languages are insufficient to codify many concepts in contemporary mathematics, and thus that higher-order logic is needed to fully reflect current mathematics. Throughout, the emphasis is on discussing the philosophical and historical issues associated with this subject, and the implications that they have for foundational studies. For the most part, the author assumes little more than a familiarity with logic as might be gained from a beginning graduate course which includes the incompleteness of arithmetic and the Lowenheim-Skolem theorems. All those concerned with the foundations of mathematics will find this a thought-provoking discussion of some of the central issues in this subject.
on
Desktop
Tablet
Mobile

You Can Find This eBook In

Non-FictionPhilosophyPhilosophy & Logic

Other Editions and Formats

Paperback

Published: 1st November 1999

View Product

More in Philosophy & Logic

The Rules of Logic : Library of Arabic Literature - Najm al-D?n al-K?tib?

eBOOK

The Rules of Logic

Library of Arabic Literature

eBook

RRP $17.60

$14.99

15%
OFF
The Forbidden Codex - SG

eBOOK

The Forbidden Codex

eBook

$12.99

Practical Philosophy - Burton Martel

eBOOK

Practical Philosophy

eBook

$3.99

349 Days Of Trauma - Nhlakanipho Masina

eBOOK

349 Days Of Trauma

eBook

$4.99

The Philosophy of Money - Maxwell Shimba

eBOOK

The Philosophy of Money

eBook

RRP $15.39

$14.99

Mind Path - Salim Can Akyürek

eBOOK

Mind Path

eBook

$6.99

This product is categorised by