The operation of developing a concept is a common procedure in mathematics and in natural science, but has traditionally seemed much less possible to philosophers and, especially, logicians. Meir Buzaglo's innovative study proposes a way of expanding logic to include the stretching of concepts, while modifying the principles which block this possibility. He offers stimulating discussions of the idea of conceptual expansion as a normative process, and of the relation of conceptual expansion to truth, meaning, reference, ontology and paradox, and (...) analyzes the views of Kant, Wittgenstein, Godel, and others, paying especially close attention to Frege. His book will be of interest to a wide range of readers, from philosophers to logicians, mathematicians, linguists, and cognitive scientists. (shrink)

The philosophy of Solomon Maimon is usually considered an important link between Kant’s transcendental philosophy and German idealism. Highly praised during his lifetime, over the past two centuries Maimon’s genius has been poorly understood and often ignored. Meir Buzaglo offers a reconstruction of Maimon’s philosophy, revealing that its true nature becomes apparent only when viewed in light of his philosophy of mathematics. This provides the key to understanding Maimon’s solution to Kant’s _quid juris_ question concerning the connection between intuition and (...) concept in mathematics. Maimon’s original approach avoids dispensing with intuition while reducing the reliance on intuition in its Kantian sense. As Buzaglo demonstrates, this led Maimon to question Kant’s ultimate rejection of the possibility of metaphysics and, simultaneously, to suggest a unique type of skepticism. (shrink)

According to a common view, belief in God cannot be proved and is an issue that must be left to faith. Kant went even further and argued that he can prove this unprovability. But any argument implying that a certain sentence is not provable is challenged by Gödel’s second theorem. Indeed, one trivial consequence of GST is that for any formal system F that satisfies certain conditions and for every sentence K that is formulated in F it is impossible to (...) prove, from F, that K is not provable. In the article, I explore the general issue of proving the unprovability of the existence of God. Of special interest is the question of the relation between the existence of God and the conditions that F must satisfy in order to allow for its subjection to GST. (shrink)

Philosophical analysis is for Quine the replacement of a defective expression by another, sound expression, which performs the same work. In general, then, an analysis consists of two stages: (a) identifying the work that a defective expression performs, and (b) imbedding it in a safe domain. In this essay I argue that Quine’s view does not truly reflect what we do in philosophy. The problem, I think, lies in both stages (a) and (b), but stems from Quine’s assumption that we (...) can control the work performed by language. (shrink)