One True Logic A Monist Manifesto

One True Logic is a major contribution to the philosophy of logic. It is the first monograph explicitly to articulate a version of logical monism, the view that there is a single correct foundational logic. Logical monism is opposed to logical pluralism, according to which there are many correct logics. One True Logic provides a critical overview of the monism vs pluralism debate and argues for the former. It defends a particular monism, based on a highly infinitary logic. Breaking new ground on a number of fronts, it offers novel arguments for the genuine logicality of infinitary logic and unifies disparate discussions in the philosophical and logical literature.

1 - Conceptions of Logical Consequence
2 - What is Monism?
3 - Against Pluralism
4 - The L8G8S Hypothesis
5 - Beyond the Finitary
6 - Isomorphism Invariance
7 - Towards the One True Logic
8 - The Heterogeneity Objection
9 - The Overgeneration Objection
10 - The Absoluteness Objection
11 - The Intensional Objection

Owen Griffiths is a philosopher of logic and language. He is an Assistant Professor in Philosophy at the University of Cambridge and College Supervisor at Corpus Christi College. He is the author of several articles and chapter in collected volumes, and winner of a 2022 Pilkington Prize for outstanding teaching at the University of Cambridge. A.C. Paseau is the Stuart Hampshire Fellow at Wadham College and Professor of Mathematical Philosophy at the University of Oxford. Author of more than 60 research articles and reviews, he also edited the five-volume anthology Philosophy of Mathematics (Routledge 2017) and co-edited the collection Mathematical Knowledge (OUP 2007). Most recently, he co-authored the books Indispensability (2023) and The Euclidean Programme (2024), both published by Cambridge University Press.