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Nicomachus was Ancient Greek mathematician. Explore interesting quotes on other.

Nicomachus: 44 quotes0 likes

“Scientific number, being set over such things as these, should be harmoniously constituted, in accordance with itself; not by any other but by itself.”

Nicomachus

Book I, Chapter VI
Nicomachus of Gerasa: Introduction to Arithmetic (1926)

“Plato, too, at the end of the thirteenth book of the Laws, to which some give the title The Philosopher… adds: "Every diagram, system of numbers, every scheme of harmony, and every law of the movement of the stars, ought to appear one to him who studies rightly; and what we say will properly appear if one studies all things looking to one principle, for there will be seen to be one bond for all these things, and if anyone attempts philosophy in any other way he must call on Fortune to assist him. For there is never a path without these… The one who has attained all these things in the way I describe, him I for my part call wisest, and this I maintain through thick and thin." For it is clear that these studies are like ladders and bridges that carry our minds from things apprehended by sense and opinion to those comprehended by the mind and understanding, and from those material, physical things, our foster-brethren known to us from childhood, to the things with which we are unacquainted, foreign to our senses, but in their immateriality and eternity more akin to our souls, and above all to the reason which is in our souls.”

Nicomachus

Footnote: The Epinomis, from which Nicomachus here quotes 991 D ff., is now recognized as not genuinely Platonic. Nicomachus doubtless cited the passage from memory, for he does not give it exactly...
Nicomachus of Gerasa: Introduction to Arithmetic (1926)

“Two other sciences in the same way will accurately treat of 'size': geometry, the part that abides and is at rest, [and] astronomy, that which moves and revolves.”

Nicomachus

Book I, Chapter III, p.184
Nicomachus of Gerasa: Introduction to Arithmetic (1926)

“To quote the words of Timaeus, in Plato, "What is that which always is, and has no birth, and what is that which is always becoming but never is? The one is apprehended by the mental processes, with reasoning, and is ever the same; the other can be guessed at by opinion in company with unreasoning sense, a thing which becomes and passes away, but never really is."
Therefore, if we crave for the goal which is worthy and fitting for man, namely happiness of life—and this is accomplished by philosophy alone and nothing else, and philosophy means… for us desire for wisdom, and wisdom the science of the truth of things… it is reasonable and most necessary to distinguish and systematize the accidental qualities of things.”

Nicomachus

Nicomachus of Gerasa: Introduction to Arithmetic (1926)

“In Plato's Republic, when the interlocutor of Socrates appears to bring certain plausible reasons to bear upon the mathematical sciences, to show that they are useful to human life, arithmetic for reckoning, distributions, contributions, exchanges, and partnerships, geometry for sieges, the founding of cities and sanctuaries, and the partition of land, music for festivals, entertainment, and the worship of the gods, and the doctrine of the spheres, or astronomy, for farming, navigation and other undertakings, revealing beforehand the proper procedure and suitable season, Socrates, reproaching him says: "You amuse me, because you seem to fear that these are useless studies that I recommend; but that is very difficult, nay, impossible. For the eye of the soul, blinded and buried by other pursuits, is rekindled and aroused again by these and these alone, and it is better that this be saved than thousands of bodily eyes, for by it alone is the truth of the universe beheld."”

Nicomachus

Nicomachus of Gerasa: Introduction to Arithmetic (1926)