One True Logic, by Owen Griffiths and A.C. Paseau

Abstract

One True Logic is a rare contribution to the most fundamental issues in the philosophy of logic. The book pushes a remarkably clear and uncompromising monistic stance, in a presentation that is historically informed and mathematically intricate, all the while being engaging and instructive. This makes the book a pleasure to read for anyone who is intrigued by foundational questions about logic. Due to its exceptional readability, I expect that readers of all levels will benefit from this book. The philosophical question that underlies any foundational theorising about logic is: which logic is the correct logic? This question presupposes that there is one. The authors do not make this presupposition, and the first part of the book asks whether there is one correct logic, or rather none or many. Having reached monism as a conclusion, mainly through a negative critique of the now popular pluralistic stance, the second, more extensive part of the book, draws the contours of the one true logic, and the third responds to objections. The main claim of the book is that the one true logic is infinitary, and to a maximal extent.