The Concept of Faith: A Philosophical Investigation

International Journal for Philosophy of Religion -     

Something More Than Words: A Review of (Re-)Defining Racism: A Philosophical Analysis,Alberto G. Urquidez

Ethical Theory and Moral Practice - Drawing on the later work of Ludwig Wittgenstein, Alberto G. Urquidez works to free the fly (i.e. race/racism) from the metaphorical bottle by shifting the terms...     

Syntactic features and synonymy relations: a unified treatment of some proofs of the compactness and interpolation theorems

This paper introduces the notion of syntactic feature to provide a unified treatment of earlier model theoretic proofs of both the compactness and interpolation theorems for a variety of two valued logics including sentential logic, first order logic, and a family of modal sentential logic includingM,B,S ₄ andS ₅. The compactness papers focused on providing a proof of the consequence formulation which exhibited the appropriate finite subset. A unified presentation of these proofs is given by isolating their essential feature and presenting it as an abstract principle about syntactic features. The interpolation papers focused on exhibiting the interpolant. A unified presentation of these proofs is given by isolating their essential feature and presenting it as a second abstract principle about syntactic features. This second principle reduces the problem of exhibiting the interpolant to that of establishing the existence of a family of syntactic features satisfying certain conditions. The existence of such features is established for a variety of logics (including those mentioned above) by purely combinatorial arguments.Presented byMelvin Fitting