Logic, Everyday Discourse, and Metaphysics

ISBN-13: 9783030746001 / Angielski / Miękka / 2022

Gianni Rigamonti

Opis

This book applies the formal discipline of logic to everyday discourse. It offers a new analysis of the notion of individual, suggesting that this notion is linguistic, not ontological, and that anything denoted by a proper name in a well-functioning language game is an individual. It further posits that everyday discourse is non-compositional, i.e., its complex expressions are not just the result of putting simpler ones together but react on the latter, modifying their meaning through feedback. The book theorizes that in everyday discourse, there is no algebra of truth values, but the latter can be both input and output of something which has no truth value at all. It suggests that an elementary proposition of everyday discourse (defined as having exactly one predicate) can, in principle, be indefinitely expanded by adding new components, belonging neither to subject nor to predicate, but remain elementary. This book is of interest to logicians and philosophers of language.

Spis treści

Part 1: Individuals and More.- Chapter 1. Good Old Aristotle.- Chapter 2. Some Minimal Technical Foundations.- Chapter 3. What is an Individual?.- Part 2: The First Great Gap.- Chapter 4. When Predicates Behave Badly.- Chapter 5. An Interlude: Matters of Method.- Chapter 6. This, and This, and That.- Part 3: Not Just Names and Predicates.- Chapter 7. Of Many, Many Other Things.- Chapter 8. Sum Total.

O autorze

Gianni Rigamonti graduated in 1965 (Milan State University) with a thesis on many-valued logics. He was a high school teacher until 1974, when he joined Palermo University, working in the Departments of Philosophy (1974–1986 and 2000–2009) and Mathematics (1986–2000). He retired in 2009. His research is in the foundations of mathematics, history of mathematics/physics, and philosophy of language.