The Construction of Logical Space
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Product details:
- Publisher OUP Oxford
- Date of Publication 3 September 2015
- ISBN 9780198747987
- Binding Paperback
- No. of pages244 pages
- Size 216x138x13 mm
- Weight 312 g
- Language English 0
Categories
Short description:
Our conception of logical space is the set of distinctions we use to navigate the world. Agustín Rayo argues that this is shaped by acceptance or rejection of 'just is'-statements: e.g. 'to be composed of water just is to be composed of H2O'. He offers a novel conception of metaphysical possibility, and a trivialist philosophy of mathematics.
MoreLong description:
Our conception of logical space is the set of distinctions we use to navigate the world. In The Construction of Logical Space Agustín Rayo defends the idea that one's conception of logical space is shaped by one's acceptance or rejection of 'just is'-statements: statements like 'to be composed of water just is to be composed of H2O', or 'for the number of the dinosaurs to be zero just is for there to be no dinosaurs'. The resulting picture is used to articulate a conception of metaphysical possibility that does not depend on a reduction of the modal to the non-modal, and to develop a trivialist philosophy of mathematics, according to which the truths of pure mathematics have trivial truth-conditions.
Rayo's overall picture is alluring and brings plenty of interesting new material to the table...
Table of Contents:
I MAIN TEXTS
Language and Metaphysics
Logical Space
Mathematics
Cognitive Accomplishment in Logic and Mathematics
II DETOURS
Possibility
A-worlds and the Dot-Notation
Paraphrase
Introducing Mathematical Vocabulary
III APPENDICES
A A Semantics for a Language with the Dot-Notation
B If Lewis Can Say It, You Can Too
C The Canonical Space of Worlds
References
Index
