The logic between two centuries

Martin Tabakov

pp. 95-125

in: Dimitri Ginev (ed), Bulgarian studies in the philosophy of science, Berlin, Springer, 2003

Abstract

This paper examines questions that are essential to the philosophical interpretation of modern logic. The development of logic is evaluated in the light of popular conceptions — of Kuhn — about the scientific revolutions and Lacatos — about the principles of proliferation. I analyze and generalize the philosophical considerations that forced two different revolutions in modern logic — the transition from traditional to classical logic and the transition from classical to non-classical logic and examine the mutual interweaving of logical and mathematical ideas. The relationship between the results of the Modern Logic and basic philosophical categories and conceptions are considered. The reason in both revolutions is that the development of the logical empirical sphere has gone considerably ahead of the logical theory.