Implicit versus Explicit Geometrical Methodologies: The Case of Construction. [From: Mathématiques et Philosophie de l'Antiquité à l'Âge Classique]. Hommage à Jules Vuillemin sous la direction de Roshdi Rashed.

von Molland, George:

Autor(en)
Molland, George:
Verlag / Jahr
Paris: Éditions du CNRS, 1991.
Format / Einband
Reprint, stapled. pp. 181-196.
Sprache
Englisch
Gewicht
ca. 550 g
Bestell-Nr
1209319
Bemerkungen
From the library of Prof. Wolfgang Haase, long-time editor of the ANRW and the International Journal of the Classical Tradition (IJCT). - A good and clean copy. - From the text: Albert Einstein is famed for giving the opinion that, “If you want to find out anything from the theoretical physicists about the methods they use, I advise you to stick closely to one principle: don’t listen to their words, fix your attention on their deeds.” In like vein Alfred North Whitehead wrote: "If often happens, therefore, that in criticising a learned book of applied mathematics, or a memoir, one’s whole trouble is with the first chapter, or even with the first page. For it is there, at the very outset, where the author will probably be found to slip in his assumptions. Further, the trouble is not with what the author does say, but with what he does not say. Also it is not with what he knows he has assumed, but with what he has unconsciously assumed. We do not doubt the author’s honesty. It is his perspicacity which we are criticising. Each generation criticises the unconscious assumptions made by its parents. It may assent, to them, but it brings them out in the open." In this chapter I intend to use these two quotations as partial inspiration in examining the status of constructions in pure geometry from Greek Antiquity until the seventeenth century.
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Implicit versus Explicit Geometrical Methodologies: The Case of Construction. [From: Mathématiques et Philosophie de l'Antiquité à l'Âge Classique].

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