D’ailleurs, le style, comme le vocabulaire, sont des outils pour faire passer des idées. Par exemple, les mathématiques et la physique ont leur propre style et vocabulaire. On pourra d’ailleurs comparer le style des livres de mathématiques d’aujourd’hui, et d’il y a 100 ans, pour le même contenu, sur les mêmes sujets, pour constater qu’il évolue dans le temps, et malheureusement à mon avis, dans le mauvais sens. En effet, les mathématiciens ont développé leur propre vocabulaire et style, sous prétexte de rigueur sans se soucier de l’utilité qui pourrait en être fait en physique. Voici deux citations parlantes, qui montrent que le langage évolue, pas toujours dans le bon sens, c’est-à-dire de telle manière

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The degree of rigor to which we have aspired is that customary in careful scientific demonstrations, not the lofty heights accessible to the pure mathematician. For this we make no apology ; if the history of the exact sciences teaches anything it is that emphasis on extreme rigor often engenders sterility, and that the successful pioneer depends more on brilliant hunches than on the results of existence theorems. We trust, of course, that our effort to avoid rigor mortis has not brought us dangerously close to the opposite extreme of sloppy reasoning.
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(Margenau, Henry, Murphy, George Moseley : The mathematics of physics and chemistry, volume 1, second edition, D. Van Nostrand Company, Inc, March 1967, p.iv)

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In preparing this book I have made every effort to keep in mind the difficulties of the reader who is encountering for the first time a serious body of mathematical doctrine. Some ideas that are innately difficult, but whose basic sources stem from geometry, are presented first from an intuitive point of view, so that the essentials can be grasped at once. I did not think it wise to include rigorous arithmetical proofs of such theorems as those on convergence of bounded monotone sequences [...], the theorem of Bolzano-Weierstrass [...], the theorem of Darboux [...], and a few others. This is in accordance with the precept that the most effective means of thwarting interest in mathematics is by misdirecting rigor.
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(Sokolnikoff, Ivan S. : Advanced Calculus, McGraw-Hill, 1939, p.v)