I. Recent years have witnessed a great resurgence of interest in the writings of the later Wittgenstein, especially with those passages roughly, Philosophical Investigations p)I 38 — 242 and Remarks on the Foundations of mathematics, section VI that are concerned with the topic of rules. Much of the credit for all this excitement, unparalleled since the heyday of Wittgenstein scholarship in the early IIJ6os, must go to Saul Kripke's I4rittgenstein on Rules and Private Language. It is easy to explain why. (...) To begin with, the dialectic Kripke uncovered from Wittgenstein's.. (shrink)

Wilfrid Sellars's analysis of the concept of meaning led, in effect, to the conclusion that the meaning of an expression is its inferential role. This view is often challenged by the claim that inference is a matter of syntax and syntax can never yield us semantics. I argue that this challenge is based on the confusion of two senses of "syntax"; and I try to throw some new light on the concept of inferential role. My conclusion is that the Sellarsian (...) view that something can have meaning only if it is subject to inferences is viable, and that inferential role is a plausible explication of meaning. However I also argue, pace Sellars, that the inferential nature of meaning does not prevent us from engaging in the enterprise of Carnapian formal semantics. (shrink)

I LOGIC IN PHILOSOPHY— PHILOSOPHY OF LOGIC i. On the relation of logic to philosophy I n this book, the consequences of certain logical insights for ...

1. It seems plausible to say that a language is a system of expressions the use of which is subject to certain rules. It would seem, thus, that learning to use a language is learning to obey the rules for the use of its expressions. However, taken as it stands, this thesis is subject to an obvious and devastating refutation. After formulating this refutation, I shall turn to the constructive task of attempting to restate the thesis in a way which (...) avoids it. In doing so, I shall draw certain distinctions the theoretical elaboration of which will, I believe, yield new insight into the psychology of language and of what might be called “norm conforming behavior” generally. The present paper contains an initial attempt along these lines. (shrink)

This book, written by one of philosophy's pre-eminent logicians, argues that many of the basic assumptions common to logic, philosophy of mathematics and metaphysics are in need of change. It is therefore a book of critical importance to logical theory. Jaakko Hintikka proposes a new basic first-order logic and uses it to explore the foundations of mathematics. This new logic enables logicians to express on the first-order level such concepts as equicardinality, infinity, and truth in the same language. The famous (...) impossibility results by Gödel and Tarski that have dominated the field for the last sixty years turn out to be much less significant than has been thought. All of ordinary mathematics can in principle be done on this first-order level, thus dispensing with the existence of sets and other higher-order entities. (shrink)

There are various approaches to truth and knowledge (in fact, cataloguing them has become something of a philosophical industry of its own); and in many cases, their explanations are taken to underlie the explanation of other crucial concepts, like language, reason etc. Especially in recent years, some of the approaches have come to be based on reducing semantics to pragmatics. An outstanding example of such a pragmatist approach is that of Bob Brandom, who bases the explication of both truth and (...) knowledge on his consideration of normative pragmatics. A less explicitly pragmatist approach to truth and knowledge was offered by Donald Davidson (who is surely not a pragmatist in the narrow sense of the word, but may be thought about as one in the wider sense proposed by Brandom, 2002, in which pragmatism means starting from the practical rather than the theoretical). In this paper I would like to point out that the discrepancy between these two approaches may be smaller than it would prima facie seem. To show this, I first turn my attention briefly to the general problem of theoretically accounting for human minds. (shrink)

Discussion of Wittgenstein's philosophy has suffered from a scarcity of commentators who understand his work well enough to explain it in their own words. Apart from certain notable exceptions, all too many advocates and critics alike have tended merely to repeat slogans, with approval or ridicule as the case may be. The result has been an unusual degree of polarization and acrimony—some philosophers abandoning normal critical standards, falling under the spell and becoming fanatical supporters; and others taking an equally extreme (...) opposite view, deriding the absence of analytic technique, and refusing to see anything of value in Wittgenstein's work. (shrink)

The paper presents an application of game-theoretical ideas to the semantics of natural language, especially the analysis of quantifiers and anaphora. The paper also introduces the idea of games of imperfect information and connects to partial logics.