"Since of quantity, one kind is viewed by itself, having no relation to anything else, as 'even,' 'odd,' 'perfect,' and the like, and the other is relative to something else, and is conceived of together with its relationship to another thing, like' double,' , greater,' 'smaller,' 'half,' 'one and one-half times,' 'one and one-third times,' and so forth, it is clear that two scientific methods will lay hold of and deal with the whole investigation of quantity: arithmetic, [with] absolute quantity; and music, [with] relative quantity."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
Original Language: English
Available Languages (1)
Sources
Imported from EN Wikiquote
https://en.wikiquote.org/wiki/Nicomachus
Revision History
No revisions have been submitted for this quote.
Categories
Nicomachus
, or Nicomachus of Gerasa, (Greek: Νικόμαχος; c. 60 – c. 120 CE) was an important ancient Greek mathematician best known for ' and Manual of Harmonics. He was born in , in the Roman province of Syria (now , ). Although a Neopythagorean who wrote about the mystical properties of numbers, Nicomachus was strongly influenced by Aristotle.
34 quotes on TrueQuotesView all quotes by Nicomachus →
Related Quotes
"Bodily, material things are... continuously involved in continuous flow and change—in imitation of the nature and pec…"
"To quote the words of Timaeus, in Plato, "What is that which always is, and has no birth, and what is that which is a…"
"Things... are some of them continuous...which are properly and peculiarly called 'magnitudes'; others are discontinuo…"
"Two other sciences in the same way will accurately treat of 'size': geometry, the part that abides and is at rest, [a…"
"Without the aid of these, then, it is not possible to deal accurately with the forms of being nor to discover the tru…"
"Plato, too, at the end of the thirteenth book of the Laws, to which some give the title The Philosopher... adds: "Eve…"
"In Plato's Republic, when the interlocutor of Socrates appears to bring certain plausible reasons to bear upon the ma…"
"If geometry exists, arithmetic must also needs be implied... But on the contrary 3, 4, and the rest might be 5 withou…"
"And once more is this true in the case of music; not only because the absolute is prior to the relative, as 'great' t…"
"The ancients, who under the leadership of Pythagoras first made science systematic, defined philosophy as the love of…"