“If the task of philosophy is to break the domination of words over the human mind […], then my concept notation, being developed for these purposes, can be a useful instrument for philosophers […] I believe the cause of logic has been advanced already by the invention of this concept notation.”

— Gottlob Frege , book Begriffsschrift

Begriffsschrift (1879) Preface to the Begriffsschrift

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Gottlob Frege 22

mathematician, logician, philosopher 1848–1925

John Freely (1926–2017) American physicist

Source: Before Galileo, The Birth of Modern Science in Medieval Europe (2012), p. 291

“The task of making more exact a vague or not quite exact concept used in everyday life or in an earlier stage of scientific or logical development, or rather of replacing it by a newly constructed, more exact concept, belongs among the most important tasks of logical analysis and logical construction. We call this the task of explicating, or of giving an explication for the earlier concept; this earlier concept, or sometimes the term used for it, is called the explicandum; and the new concept, or its term, is called an explicatum of the old one.”

Rudolf Carnap (1891–1970) German philosopher

Source: Meaning And Necessity (1947), p. 7-8 as cited in: Erich Reck (2011) " Carnapian Explication: A Case Study and Critique http://www.faculty.ucr.edu/~reck/Reck-C'ian%20Explic.%20(3rd.%20rev.).pdf"

“Virtue and vice are concepts invented by human beings, words for morality which human beings arbitrarily devise.”

Osamu Dazai book No Longer Human

Third Notebook: Part Two
No Longer Human

“No one invented it on purpose, it was invented in a lucky accident. …By rights, string theory shouldn't have been invented until our knowledge of some of the areas that are prerequisite… had developed to the point that it was possible for us to have the right concept of what it is all about.”

Edward Witten (1951) American theoretical physicist

"Edward Witten" interview, Superstrings: A Theory of Everything? (1992) ed. P.C.W. Davies, Julian Brown
Context: It's been said that string theory is part of the physics of the twenty-first century that fell by chance into the twentieth century. That's a remark that was made by a leading physicist about fifteen years ago.... String theory was invented essentially by accident in a long series of events, starting with the Veneziano model... No one invented it on purpose, it was invented in a lucky accident.... By rights, string theory shouldn't have been invented until our knowledge of some of the areas that are prerequisite... had developed to the point that it was possible for us to have the right concept of what it is all about.