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The Construction of Logical Space
Oxford, England: Oxford University Press (2013)
Abstract
Our conception of logical space is the set of distinctions we use to navigate the world. Agustn 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 new trivialist philosophy of mathematicsAuthor's Profile
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Chapters
Language and Metaphysics
The chapter makes a case for the view that a ‘just is’-statement such as ‘for the number of the dinosaurs to be Zero just is for there to be no dinosaurs’ should not be rejected on general linguistic or metaphysical grounds. The core of the chapter is a defense of a conception of language ... see more
Logical Space
This chapter is an attempt to elucidate the ‘just is’-operator. It considers the question of what the truth or falsity of a ‘just is’-statement consists in, and develops an epistemology for ‘just is’-statements—that is, an account of the sorts of considerations that might ground their acce... see more
Mathematics
This chapter defends a trivialist conception of mathematics, according to which the truths of pure mathematics have trivial truth-conditions, and the falsities of pure mathematics have trivial falsity-conditions. A consequence of this view is that ‘just is’-statements such as ‘for the numb... see more
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Citations of this work
Shadows of Syntax: Revitalizing Logical and Mathematical Conventionalism.Jared Warren - 2020 - New York, USA: Oxford University Press.
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