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Bibliographic Detail
Publisher
Oxford Univ Pr on Demand
Publication date
May 18, 2000
Binding
Paperback
Book category
Adult Non-Fiction
ISBN-13
9780198250296
ISBN-10
0198250290
Dimensions
0.75 by 6.25 by 9.25 in.
Weight
1 lbs.
Published in
Great Britain
Original list price
$53.00
Other format details
university press
Amazon.com says people who bought this book also bought:
Physics for Mathematicians, Mechanics I | An Introduction to Non-Classical Logic | Category Theory for the Sciences | Why Is There Philosophy of Mathematics at All? | Model Theory | Thinking About Mathematics
Physics for Mathematicians, Mechanics I | An Introduction to Non-Classical Logic | Category Theory for the Sciences | Why Is There Philosophy of Mathematics at All? | Model Theory | Thinking About Mathematics
Summaries and Reviews
(view table of contents)
Amazon.com description: Product Description: 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 which mathematical ideas can be formulated in higher-order logic. He also shows how first-order languages are often insufficient to codify many concepts in contemporary mathematics, and thus that both first- and higher-order logics are needed to fully reflect current work. Throughout, the emphasis is on discussing the associated philosophical and historical issues and the implications they have for foundational studies. For the most part, the author assumes little more than a familiarity with logic comparable to that provided in 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 the field today.
Editions
Hardcover
from Oxford Univ Pr (November 7, 1991)
9780198533917 | details & prices | 6.50 × 9.50 × 1.00 in. | 1.40 lbs | List price $110.00
Paperback
The price comparison is for this edition
from Oxford Univ Pr on Demand (May 18, 2000)
9780198250296 | details & prices | 6.25 × 9.25 × 0.75 in. | 1.00 lbs | List price $53.00
About: The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics.
About: The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics.
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