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 Ɓukasiewicz 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."

Read more about this topic:  Logical Form

Famous quotes containing the word history:

    The history of any nation follows an undulatory course. In the trough of the wave we find more or less complete anarchy; but the crest is not more or less complete Utopia, but only, at best, a tolerably humane, partially free and fairly just society that invariably carries within itself the seeds of its own decadence.
    Aldous Huxley (1894–1963)

    They are a sort of post-house,where the Fates
    Change horses, making history change its tune,
    Then spur away o’er empires and o’er states,
    Leaving at last not much besides chronology,
    Excepting the post-obits of theology.
    George Gordon Noel Byron (1788–1824)

    Every member of the family of the future will be a producer of some kind and in some degree. The only one who will have the right of exemption will be the mother ...
    Ruth C. D. Havens, U.S. suffragist. As quoted in History of Woman Suffrage, vol. 4, ch. 13, by Susan B. Anthony and Ida Husted Harper (1902)