Quantification theory, logic and language (On the proposal of the “Selected essays” of Jean van Heijenoort). (Spanish. English summary) Zbl 0755.03004

Padilla-Gálvez, Jesus

Mod. Log. 2, No. 3, 260-280 (1992).

Summary: This paper proposes a critical revision of the proposal of van Heijenoort to confront a systematic logic with natural language and questions such as the existence of a universal domain, the subject-predicative structure of sentences, and semantical problems. This paper analyses the historical context of systematic logic.

MSC:

03A05	Philosophical and critical aspects of logic and foundations
03-03	History of mathematical logic and foundations
01A60	History of mathematics in the 20th century

Keywords:

van Heijenoort; natural language; existence of a universal domain; subject-predicative structure of sentences; semantical problems; historical context of systematic logic