Mathematics Models And Modality
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Mathematics, Models, and Modality
Author: John P. Burgess
language: en
Publisher: Cambridge University Press
Release Date: 2008-02-21
John Burgess is the author of a rich and creative body of work which seeks to defend classical logic and mathematics through counter-criticism of their nominalist, intuitionist, relevantist, and other critics. This selection of his essays, which spans twenty-five years, addresses key topics including nominalism, neo-logicism, intuitionism, modal logic, analyticity, and translation. An introduction sets the essays in context and offers a retrospective appraisal of their aims. The volume will be of interest to a wide range of readers across philosophy of mathematics, logic, and philosophy of language.
Model Theory and the Philosophy of Mathematical Practice
Author: John T. Baldwin
language: en
Publisher: Cambridge University Press
Release Date: 2018-01-25
Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.
The Foundations of Modality
Author: Peter Fritz
language: en
Publisher: Oxford University Press
Release Date: 2024-01-25
The notions of necessity and possibility, as well as the notion of a possible world, are ubiquitous in philosophy. Nevertheless, these notions remain controversial. This book develops a general framework for theorizing about these notions using the tools of higher-order logic.