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- W1540735858 abstract "The topics of reference, realism, and structure have been discussed extensively in the philosophy of mathematics of the last decades. There have been some parallel discussions in certain parts of philosophy of science and metaphysics. The technical apparatus which serves as the formal backdrop to these discussions is model theory, a branch of mathematical logic, and the key results in model theory which have been thought to be of primary philosophical significance are the famous categoricity theorems of Dedekind and Zermelo. The aim of this paper is to survey this recent literature, using basic ideas and results from model theory to aid in organizing the discussion. Some of the specific topics covered are: Putnam's permutation argument and the just more theory manoeuvre; the Newman objection and notions of conservation; the import of the Lowenheim-Skolem theorems; the invocation of second-order logic in debates about realism and reference; the distinctive challenges posed by quasi-categoricity results in set theory, the structuralism of Shapiro and Parsons, and the aims and goals of recent work on uncountable categoricity." @default.
- W1540735858 created "2016-06-24" @default.
- W1540735858 creator A5048607449 @default.
- W1540735858 creator A5056760127 @default.
- W1540735858 date "2015-01-02" @default.
- W1540735858 modified "2023-09-27" @default.
- W1540735858 title "Ideas and Results in Model Theory: Reference, Realism, Structure and Categoricity" @default.
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