Tim Button explores the relationship between words and world; between semantics and scepticism. A certain kind of philosopher--the external realist--worries that appearances might be radically deceptive; we might all, for example, be brains in vats, stimulated by an infernal machine. But anyone who entertains the possibility of radical deception must also entertain a further worry: that all of our thoughts are totally contentless. That worry is just incoherent. We cannot, then, be external realists, who worry about the possibility of radical deception. Equally, though, we cannot be internal realists, who reject all possibility of deception. We must position ourselves somewhere between internal realism and external realism, but we cannot hope to say exactly where. We must be realists, for what that is worth, and realists within limits. In establishing these claims, Button critically explores and develops several themes from Hilary Putnam's work: the model-theoretic arguments; the connection between truth and justification; the brain-in-vat argument; semantic externalism; and conceptual relativity. The Limits of Realism establishes the continued significance of these topics for all philosophers interested in mind, logic, language, or the possibility of metaphysics.

The Limits of Realism

Politics & Social Sciences

Button, Tim

Philosophy

Oxford University Press

Philosophy and Model Theory

Model theory is used in every theoretical branch of analytic philosophy: in philosophy of mathematics, in philosophy of science, in philosophy of language, in philosophical logic, and in metaphysics. But these wide-ranging uses of model theory have created a highly fragmented literature. On the one hand, many philosophically significant results are found only in mathematics textbooks: these are aimed squarely at mathematicians; they typically presuppose that the reader has a serious background in mathematics; and little clue is given as to their philosophical significance. On the other hand, the philosophical applications of these results are scattered across disconnected pockets of papers. The first aim of this book, then, is to explore the philosophical uses of model theory, focusing on the central topics of reference, realism, and doxology. Its second aim is to address important questions in the philosophy of model theory, such as: sameness of theories and structure, the boundaries of logic, and the classification of mathematical structures. Philosophy and Model Theory will be accessible to anyone who has completed an introductory logic course. It does not assume that readers have encountered model theory before, but starts right at the beginning, discussing philosophical issues that arise even with conceptually basic model theory. Moreover, the book is largely self-contained: model-theoretic notions are defined as and when they are needed for the philosophical discussion, and many of the most philosophically significant results are given accessible proofs.

Walsh, Sean

Model theory is used in every theoretical branch of analytic philosophy: in philosophy of mathematics, in philosophy of science, in philosophy of language, in philosophical logic, and in metaphysics. But these wide-ranging uses of model theory have created a highly fragmented literature. On the one hand, many philosophically significant results are found only in mathematics textbooks: these are aimed squarely at mathematicians; they typically presuppose that the reader has a serious background in mathematics; and little clue is given as to their philosophical significance. On the other hand, the philosophical applications of these results are scattered across disconnected pockets of papers. The first aim of this book, then, is to explore the philosophical uses of model theory, focusing on the central topics of reference, realism, and doxology. Its second aim is to address important questions in the philosophy of model theory, such as: sameness of theories and structure, the boundaries of logic, and the classification of mathematical structures.  Philosophy and Model Theory will be accessible to anyone who has completed an introductory logic course. It does not assume that readers have encountered model theory before, but starts right at the beginning, discussing philosophical issues that arise even with conceptually basic model theory. Moreover, the book is largely self-contained: model-theoretic notions are defined as and when they are needed for the philosophical discussion, and many of the most philosophically significant results are given accessible proofs.

An introduction to formal logic, covering truth-functional (propositional) and first-order (predicate) logic. It deals with logical notions such as entailment and satisfiablity, symbolization of English sentences using connectives and quantifiers (including identity, e.g., definite descriptions), the semantics of TFL (truth tables) and FOL (first-order interpretations), and proofs (using and natural deduction). Advanced topics discussed are the truth-functional adequacy of propositional logic, normal forms, the soundness of the proof system, and the basics of modal logic. Available for free download at forallx.openlogicproject.org.

forall x: Calgary: An Introduction to Formal Logic

Zach, Richard

Magnus, P.D.

Trueman, Robert

Thomas-Bolduc, Aaron

Independently published

Are You Giggly? (INTERACTIVE READ-ALOUD WITH NOVELTY MIRROR) (Tim Button Board Books)

Children's Books

Animals

The Collective Book Studio

Are You Wiggly? (INTERACTIVE READ-ALOUD WITH NOVELTY MIRROR) (Tim Button Board Books)

Loftis, J. Robert

Set Theory: An Open Introduction (Open Logic Project Textbooks)

See the best price to sell, buy, or rent books by Button, Tim. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Button, Tim