Divisible Quotes (4 quotes)
A marveilous newtrality have these things mathematicall, and also a strange participation between things supernaturall, immortall, intellectuall, simple and indivisible, and things naturall, mortall, sensible, componded and divisible.
In Mathematicall Praeface to the Elements of Geometrie of Euclid of Megara (1570).
From very ancient times, the question of the constitution of matter with respect to divisibility has been debated, some adopting the opinion that this divisibility is infinite …. We have absolutely no means at our disposal for deciding such a question, which remains at the present day in the same state as when it first engaged the attention of the Greek philosophers, or perhaps that of the sages of Egypt and Hindostan long before them.
In Elementary Chemistry, Theoretical and Practical (1854), 206. Note: this was the limit of knowledge, or even speculation, decades before the discovery of the nucleus, electron, proton and other particles.
I have no doubt that many small strikes of a hammer will finally have as much effect as one very heavy blow: I say as much in quantity, although they may be different in mode, but in my opinion, everything happens in nature in a mathematical way, and there is no quantity that is not divisible into an infinity of parts; and Force, Movement, Impact etc. are types of quantities.
From the original French, “Ie ne doute point que plusieurs petits coups de Marteau ne fassent enfin autant d’effet qu’vn fort grand coup, ie dis autant en quantité, bien qu’ils puissent estre différents, in modo; mais apud me omnia fiunt Mathematicè in Natura, & il n’y a point de quantité qui ne soit divisible en une infinité de parties; Or la Force, le Mouuement, la Percussion, &c. sont des Especes de quantitez,” in letter (11 Mar 1640) to Père Marin Mersenne (AT III 36), collected in Lettres de Mr Descartes (1659), Vol. 2, 211-212. English version by Webmaster using online resources.
There is no quantity that is not divisible into an infinity of parts.
From the original French, “Il n’y a point de quantité qui ne soit divisible en une infinité de parties,” in letter (11 Mar 1640) to Père Marin Mersenne (AT III 36), collected in Lettres de Mr Descartes
(1659), Vol. 2, 211-212. English version by Webmaster using online resources. See context in longer quote that begins, “I have no doubt….” on the René Descartes Quotes
page of this website.