One True Logic

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.

One True Logic is a towering achievement. It is a comprehensive, original, and insightful contribution to the philosophy of logic. It is a pleasure reading a take on the pluralism debate that builds on careful considerations about methodology, language, and recent technical developments. The debate between monists and pluralists about logic deserves a book length treatment, and this might stand as a definitive defence of monism for some time."

• Introduction Prologue 1: Conceptions of Logical Consequence 2: What is Monism? 3: Against Pluralism 4: The LIFGIFS 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 Conclusion