On Lindenbaum's extensions. (Part C.)

Abstract

The full text with detailed proofs will appear in Reports on Mathematical Logic. 1. The purpose of the present paper is to discuss the theorems on existence one Lindenbaum's extensions for finitely axiomatizable systems. This problem is connected with the well known Tarski's theorems (cf. [15]) and the paper [2] devoted not finitely axiomatizable systems which have only one Lindenbaum's extension. Moreover among other things we will consider systems with different than R0* -rules and the system with TM- property for M = Z2i (i = 1, 2, 3 cf. [3]) (Fragment tekstu).