... as 'logicism') that the content expressed by true propositions of arithmetic and analysis is not something of an irreducibly mathematical character, ...

In this manuscript, published here for the first time, Tarski explores the concept of logical notion. He draws on Klein's Erlanger Programm to locate the logical notions of ordinary geometry as those invariant under all transformations of space. Generalizing, he explicates the concept of logical notion of an arbitrary discipline.

The second, corrected edition of the first and only complete English translation of Kant’s highly influential introduction to philosophy, presenting both the terminological and structural basis for his philosophical system, and offering an invaluable key to his main works, particularly the three Critiques. Extensive editiorial apparatus.

Science in a new sense arises in the first instance from Plato's establishing of logic, as a place for exploring the essential requirements of "genuine" ...

The Bounds of Logic presents a new philosophical theory of the scope and nature of logic based on critical analysis of the principles underlying modern Tarskian logic and inspired by mathematical and linguistic development. Extracting central philosophical ideas from Tarski’s early work in semantics, Sher questions whether these are fully realized by the standard first-order system. The answer lays the foundation for a new, broader conception of logic. By generally characterizing logical terms, Sher establishes a fundamental result in semantics. Her (...) development of the notion of logicality for quantifiers and her work on branching are of great importance for linguistics. Sher outlines the boundaries of the new logic and points out some of the philosophical ramifications of the new view of logic for such issues as the logicist thesis, ontological commitment, the role of mathematics in logic, and the metaphysical underpinning of logic. She proposes a constructive definition of logical terms, reexamines and extends the notion of branching quantification, and discusses various linguistic issues and applications. (shrink)

This book comprises material on colour which was written by Wittgenstein in the last eighteen months of his life. It is one of the few documents which shows him concentratedly at work on a single philosophical issue. The principal theme is the features of different colours, of different kinds of colour (metallic colour, the colours of flames, etc.) and of luminosity—a theme which Wittgenstein treats in such a way as to destroy the traditional idea that colour is a simple and (...) logically uniform kind of thing. This edition consists of Wittgenstein's basic German text, together with an English translation. (shrink)

Much philosophy of logic is shaped, explicitly or implicitly, by the thought that logic is distinctively formal and abstracts from material content. The distinction between formal and material does not appear to coincide with the more familiar contrasts between a priori and empirical, necessary and contingent, analytic and synthetic—indeed, it is often invoked to explain these. Nor, it turns out, can it be explained by appeal to schematic inference patterns, syntactic rules, or grammar. What does it mean, then, to say (...) that logic is distinctively formal? (shrink)

When I was an undergraduate in Oxford, we were taught economics almost as though it were a natural science. The subject matter of economics might be different from physics, but only in the way that the subject matter of chemistry or biology is different from physics. The actual results were presented to us as if they were scientific theories. So when we learned that savings equals investment, it was taught in the same tone of voice as one teaches that force (...) equals mass times acceleration. And we learned that rational entrepreneurs sell where marginal cost equals marginal revenue in the way that we once learned that bodies attract in a way that is directly proportional to the product of their mass and inversely proportional to the square of the distance between them. At no point was it ever suggested that the reality described by economic theory was dependent on human beliefs and other attitudes in a way that was totally unlike the reality described by physics or chemistry. Some years ago, when I published The Construction of Social Reality, I was aware that it had implications for the ontology of economics, but I was not aware that there had already been an important revival of the tradition of institutional economics. It would be an understatement to say that I welcome this interest in institutions; I enthusiastically support it. But I think that in the institutional literature there is still an unclarity about what exactly an institution is. What is the ontology, the mode of existence, of institutional reality? This article tries to add to this discussion. Economics as a subject matter, unlike physics or chemistry, is largely concerned with institutional facts. Facts about money and interest rates, exchange and employment, corporations and the balance of payments, form the very heart of the subject of economics. When Lionel Robbins, in a classic work, tells us that “Economics is a study of the disposal of scarce commodities,”2 he takes for granted a huge invisible institutional.... (shrink)

I shall make two main claims. My first main claim is that Frege started out with a view of logic that is closer to Kant’s than is generally recognized, but that he gradually came to reject this Kantian view, or at least totally to transform it. My second main claim concerns Frege’s reasons for distancing himself from the Kantian conception of logic. It is natural to speculate that this change in Frege’s view of logic may have been spurred by a (...) desire to establish the logicality of the axiom system he needed for his logicist reduction, including the infamous Basic Law V. I admit this may have been one of Frege’s motives. But I shall argue that Frege also had a deeper and more interesting reason to reject his early Kantian view of logic, having to do with his increasingly vehement anti-psychologism. (shrink)