One True Logic
A Monist Manifesto
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Product details:
- Publisher OUP Oxford
- Date of Publication 19 May 2022
- ISBN 9780198829713
- Binding Hardback
- No. of pages266 pages
- Size 240x162x21 mm
- Weight 542 g
- Language English 205
Categories
Short description:
One True Logic is the first monograph to explicitly articulate a version of logical monism and defend it against the challenge from logical pluralism, according to which there is more than one correct logic.
MoreLong description:
Logical monism is the claim that there is a single correct logic, the 'one true logic' of our title. The view has evident appeal, as it reflects assumptions made in ordinary reasoning as well as in mathematics, the sciences, and the law. In all these spheres, we tend to believe that there are determinate facts about the validity of arguments. Despite its evident appeal, however, logical monism must meet two challenges. The first is the challenge from logical pluralism, according to which there is more than one correct logic. The second challenge is to determine which form of logical monism is the correct one.
One True Logic is the first monograph to explicitly articulate a version of logical monism and defend it against the first challenge. It provides a critical overview of the monism vs pluralism debate and argues for the former. It also responds to the second challenge by defending a particular monism, based on a highly infinitary logic. It breaks new ground on a number of fronts and unifies disparate discussions in the philosophical and logical literature. In particular, it generalises the Tarski-Sher criterion of logicality, provides a novel defence of this generalisation, offers a clear new argument for the logicality of infinitary logic and replies to recent pluralist arguments.
One True Logic is the first monograph to explicitly articulate a version of logical monism and defend it against the first challenge. It provides a critical overview of the monism vs pluralism debate and argues for the former. It also responds to the second challenge by defending a particular monism, based on a highly infinitary logic. It breaks new ground on a number of fronts and unifies disparate discussions in the philosophical and logical literature.
Table of Contents:
Introduction
Prologue
Conceptions of Logical Consequence
What is Monism?
Against Pluralism
The L∞G∞S Hypothesis
Beyond the Finitary
Isomorphism Invariance
Towards the One True Logic
The Heterogeneity Objection
The Overgeneration Objection
The Absoluteness Objection
The Intensional Objection
Conclusion
