The Construction Of Logical Space Download Free (EPUB, PDF)
Our conception of logical space is the set of distinctions we use to navigate the world. In The Construction of Logical Space Agustin 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.
Paperback: 240 pages
Publisher: Oxford University Press; 1 edition (November 1, 2015)
Language: English
ISBN-10: 0198747985
ISBN-13: 978-0198747987
Product Dimensions: 8.4 x 0.6 x 5.4 inches
Shipping Weight: 12.6 ounces (View shipping rates and policies)
Average Customer Review: 5.0 out of 5 stars See all reviews (1 customer review)
Best Sellers Rank: #676,533 in Books (See Top 100 in Books) #169 in Books > Reference > Words, Language & Grammar > Semantics #277 in Books > Textbooks > Humanities > Philosophy > Metaphysics #301 in Books > Science & Math > Mathematics > Pure Mathematics > Logic
This is a wonderfully ambitious new work in philosophy. It includes:(1) An extended defence of "trivialism" - an account of the metaphysics of mathematics that Rayo introduced in his contribution to New Waves in Philosophy of Mathematics.(2) A new account of the epistemology of mathematics. To cut a long story short, the author defends the view (associated with the logical empiricists) that the theorems of pure mathematics are knowable _a priori_ because they are entailed by definitions.(3) A new account of the epistemology of (metaphysical) modality.(4) A new defence of the (Stalnakerian) claim that the objects of propositional attitudes are sets of possible worlds.(5) A sustained attack on what the author calls "metaphysicalism" - very roughly, this is the Tractarian thesis that a true sentence must be isomorphic to a fact, which it represents.What's amazing is that Rayo fits all of this into only about 200 pages! This book is required reading for anyone in metaphysics/epistemology.
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