Originally published in 1955. The Madhyamika philosophy is, in the author's view, the philosophy which created a revolution in Buddhism and through that in the whole range of Indian philosophy. This volume is a study of the Madhyamika philosophy in all its important aspects and is divided into three parts: Historical: this traces the origin and development of the Madhyamika philosophy. The second part concentrates on a full and critical exposition of the Madhyamika philosophy, the structure of its dialectic, its (...) conception of the Absolute and its ethics and religion. The last part of the book compares the Madhyamika with some of the well-known dialectical systems of the West (Kant, Hegel and Bradley) and undertakes a short study of the different absolutisms (Madhyamika, Vijnanavada and the Vedanta). (shrink)

Chomsky proposes a reformulation of the theory of transformational generative grammar that takes recent developments in the descriptive analysis of particular ...

Introduction. The system of axioms for set theory to be exhibited in this paper is a modification of the axiom system due to von Neumann. In particular it adopts the principal idea of von Neumann, that the elimination of the undefined notion of a property (“definite Eigenschaft”), which occurs in the original axiom system of Zermelo, can be accomplished in such a way as to make the resulting axiom system elementary, in the sense of being formalizable in the logical calculus (...) of first order, which contains no other bound variables than individual variables and no accessory rule of inference (as, for instance, a scheme of complete induction).The purpose of modifying the von Neumann system is to remain nearer to the structure of the original Zermelo system and to utilize at the same time some of the set-theoretic concepts of the Schröder logic and of Principia mathematica which have become familiar to logicians. As will be seen, a considerable simplification results from this arrangement.The theory is not set up as a pure formalism, but rather in the usual manner of elementary axiom theory, where we have to deal with propositions which are understood to have a meaning, and where the reference to the domain of facts to be axiomatized is suggested by the names for the kinds of individuals and for the fundamental predicates.On the other hand, from the formulation of the axioms and the methods used in making inferences from them, it will be obvious that the theory can be formalized by means of the logical calculus of first order (“Prädikatenkalkul” or “engere Funktionenkalkül”) with the addition of the formalism of equality and the ι-symbol for “descriptions” (in the sense of Whitehead and Russell). (shrink)

Discusses Indian Buddhist philosophy in three phases of its development.