Logical Form - History

History

That the concept of form is fundamental to logic was already recognized in ancient times. Aristotle was probably the first to employ variable letters to represent valid inferences (in the Prior analytics). (For which reason Łukasiewicz says that the introduction of variables was 'one of Aristotle's greatest inventions').

According to the followers of Aristotle (such as Ammonius), only the logical principles stated in schematic terms belong to logic, and not those given in concrete terms. The concrete terms man, mortal, etc., are analogous to the substitution values of the schematic placeholders 'A', 'B', 'C', which were called the 'matter' (Greek hyle, Latin materia) of the argument.

The term "logical form" was introduced by Bertrand Russell in 1914, in the context of his program to formalize natural language and reasoning, which he called philosophical logic. Russell wrote: "Some kind of knowledge of logical forms, though with most people it is not explicit, is involved in in all understanding of discourse. It is the business of philosophical logic to extract this knowledge from its concrete integuments, and to render it explicit and pure."