Introduction: Themes from Alan Weir (Stephan Leuenberger and Adam Rieger) -- 1. Memoir (Alan Weir) -- 2. Can Non-classical logic treat mathematics as exceptional? (Timothy Williamson) -- 3. Indeterminacy and Non-classical Logic (Alan Weir) -- 4. Neo-classical logic, cloisonnist vagueness, non-objectual truth (Elia Zardini) -- 5. The Umpire’s Dilemma and the Ashes of Realism (Neil Tennant) -- 6. Abstraction and modest reflection (Roy T. Cook) -- 7. Mass nouns and plural logic (Eric Snyder and Stewart Shapiro) -- 8. Formal proof, informal proof, formalism, and fictionalism (Mary Leng) -- 9. Mathematical naturalism and revisionism about mathematics (Marianna Antonutti Marfori) -- 10. Perspectives on the Universe (Graham Priest) -- 11. Elements of an alternative philosophy of set theory (Marcus Giaquinto) -- 12. Eliminativism about Phenomenology (Graham Peebles) -- 13. What is the skeptical solution? (Alexander Miller) -- 14. Truthmaker Equivalence (Stephan Krämer) -- 15. Scope and Probabilistic Reasoning: A Semantical Resolution of the Two-Envelope Paradox (Gary Kemp) -- 16. Representative Range Voting: How to Elect the First President of Scotland (Adam Rieger) -- Bibliography of Alan Weir’s Writings.

This book celebrates and explores some philosophical issues raised by the work of Alan Weir, who is Professor Emeritus at the University of Glasgow, having previously held positions at the Universities of Oxford, Edinburgh and Queen’s, Belfast. In a number of areas, Weir has elaborated strikingly original views which involve a radical departure from the mainstream. These include formalism in the philosophy of mathematics, and as well as naïve set theory, with a universal set, and a naïve theory of truth. In contrast to other contemporary defenders of the latter two theories, Weir rejects dialetheism and accepts classical rules for the logical connectives. He avoids contradictions by restricting certain structural inference rules, specifically some generalized versions of transitivity. In addition, Weir has developed radical versions of naturalism and physicalism (partly informed by his work on Quine) and perceptual realism. This collection includes contributions by a distinguished group of philosophers on Weir’s philosophy, as well as a memoir and a new essay on the philosophy of mathematics by Weir himself.