No serious philosopher or student of philosophy can afford to neglect Wittgenstein's work. Professor Fogelin provides an authoritative critical evaluation of both the _Tractatus Logico-Philosophicus_ and _Philosophical Investigations_, enabling the reader to come to grips with these difficult yet key works. Fogelin explains Wittgenstein's attempt in the _Tractatus_ to combine a picture theory of propositional structure, and also explores Wittgenstein's own criticisms of the Tractarian synthesis. He gives particular attention to topics in the philosophy of language, logic, psychology and the (...) foundations of mathematics, examining Wittgenstein's work on these fields and arguing that Wittgenstein's criticisms in these areas form the basis for a radically new standpoint in philosophy. (shrink)

Wittgenstein's "Tractatus" claims the possibility to represent quantificational logic by means of a single basic operation. Fogelin regards the "Tractatus" system as seriously flawed and thus not suited for this aim, while Geach and Soames propose extensions and corrections of the Tractarian notational system. If the unusual Tractarian view -- every variable can be conceived as a propositional variable -- is taken full account of, we find out, that the "Tractatus" system is well suited to deal even with the problematic (...) cases of mixed quantifiers with many-place predicates. By expanding the view of variables as certain two-dimensional lists of propositions we find adequate representations of formulas like fxy in the logic of the "Tractatus". Surprisingly we don't need anything which corresponds to formulas with two or more free variables like fxy, and still get the full power of ordinary quantificational logic. (shrink)

It is a little understood fact that the system of formal logic presented in Wittgenstein?s Tractatusprovides the basis for an alternative general semantics for a predicate calculus that is consistent and coherent, essentially independent of the metaphysics of logical atomism, and philosophically illuminating in its own right. The purpose of this paper is threefold: to describe the general characteristics of a Tractarian-style semantics, to defend the Tractatus system against the charge of expressive incompleteness as levelled by Robert Fogelin, and to (...) give a semantics for a formal language that is the Tractarian equivalent of a first-order predicate calculus. Of note in regard to the latter is the fact that a Tractatusstyle truth-definition makes no appeal to the technical trick of defining truth in terms of the satisfaction of predicates by infinite sequences of objects, yet is materially equivalent to the usual Tarski-style truth-definitions. (shrink)

No serious philosopher or student of philosophy can afford to neglect Wittgenstein's work. Professor Fogelin provides an authoritative critical evaluation of both the _Tractatus Logico-Philosophicus_ and _Philosophical Investigations_, enabling the reader to come to grips with these difficult yet key works. Fogelin explains Wittgenstein's attempt in the _Tractatus_ to combine a picture theory of propositional structure, and also explores Wittgenstein's own criticisms of the Tractarian synthesis. He gives particular attention to topics in the philosophy of language, logic, psychology and the (...) foundations of mathematics, examining Wittgenstein's work on these fields and arguing that Wittgenstein's criticisms in these areas form the basis for a radically new standpoint in philosophy. (shrink)

No serious philosopher or student of philosophy can afford to neglect Wittgenstein's work. Professor Fogelin provides an authoritative critical evaluation of both the _Tractatus Logico-Philosophicus_ and _Philosophical Investigations_, enabling the reader to come to grips with these difficult yet key works. Fogelin explains Wittgenstein's attempt in the _Tractatus_ to combine a picture theory of propositional structure, and also explores Wittgenstein's own criticisms of the Tractarian synthesis. He gives particular attention to topics in the philosophy of language, logic, psychology and the (...) foundations of mathematics, examining Wittgenstein's work on these fields and arguing that Wittgenstein's criticisms in these areas form the basis for a radically new standpoint in philosophy. (shrink)

In earlier papers, I have sketched some aspects of a semantical theory of quantification, developed in terms of the concept of a model set. Furthermore, I have indicated a method of relating this semantical, or half-semantical, theory to the usual deductive methods. This method turned on considering proofs of logical truth as frustrated attempts to describe a counter-example to the sentence to be proved. In this paper, I propose to relate some of the observations that were made in the earlier (...) papers to the doctrines which are generally known as picture theories of language. My main thesis is that these theories can be related rather closely to the logic of quantification by developing them in a suitable direction, and by using the concept of a model set as a mediating link. (shrink)

Offers a detailed exposition of Wittgenstein's philosophy as a continuous engagement with a single set of problems. The author argues that the key to understanding the transition in Wittgenstein's thought is his 1929 essay ""Some Remarks on Logical Form"" which is reprinted in this book.