Logos & Episteme

Volume 2, Issue 4, 2011

Complementarity and Antinomy

In this study we present some contributions of the logician and philosopher Petre Botezatu (27.02.1911-01.12.1981), who turned the idea of complementarity, formulated by Niels Bohr for the interpretation of the wave-particle structure of the quantum world, into an ordering principle of his work. Thus, he understood general logic as a synthesis in which the style of classical logic is complementary to the style of the 20th century logic. He didn’t give up either the mathematical modelling of logical language or the conceptual description through natural language. Thus, natural operational logic was created. Then Petre Botezatu assessed the achievements and failures of deduction in order to build the notion of methodological antinomy, and formulated five antinomies of axiomatization and five antinomies of formalization. The main purpose of this study is to present and interpret them.