When going to the temple to adore Divinity neither say nor do any thing in the interim pertaining to the common affairs of life.

Those alone are dear to Divinity who are hostile to injustice.

If there be light, then there is darkness; if cold, heat; if height, depth; if solid, fluid; if hard, soft; if rough, smooth; if calm, tempest; if prosperity, adversity; if life, death.

Above all things reverence thy Self.

Time is the soul of this world.

It is requisite to defend those who are unjustly accused of having acted injuriously, but to praise those who excel in a certain good.

The most momentous thing in human life is the art of winning the soul to good or to evil.

Step not beyond the beam of the balance.

It is better wither to be silent, or to say things of more value than silence. Sooner throw a pearl at hazard than an idle or useless word; and do not say a little in many words, but a great deal in a few.

You will know that wretched men are the cause of their own suffering, who neither see nor hear the good that is near them, and few are the ones who know how to secure release from their troubles. Such is the fate that harms their minds; like pebbles they are tossed about from one thing to another with cares unceasing. For the dread companion Strife harms them unawares, whom one must not walk behind, but withdraw from and flee.

By the air which I breathe, and by the water which I drink, I will not endure to be blamed on account of this discourse.

Disbelieve nothing wonderful concerning the gods, nor concerning divine dogmas.

None can be free who is a slave to, and ruled by, his passions.

Rest satisfied with doing well, and leave others to talk of you as they please.

Work at these things, practice them, these are the things you ought to desire; they are what will put you on the path of divine virtue - yes, by the one who entrusted our soul with the tetraktys, source of ever-flowing nature. Pray to the gods for success and get to work.

Most men and women, by birth or nature, lack the means to advance in wealth and power, but all have the ability to advance in knowledge.

Neither will the horse be adjudged to be generous, that is sumptuously adorned, but the horse whose nature is illustrious; nor is the man worthy who possesses great wealth, but he whose soul is generous.

Friends share all things.

Having departed from your house, turn not back; for the furies will be your attendants.

Truth is so great a perfection, that if God would render himself visible to men, he would choose light for his body and truth for his soul.

There is geometry in the humming of the strings. There is music in the spacings of the spheres.

As touching the gods, I do not know whether they exist or not, nor how they are featured; for there is much to prevent our knowing: the obscurity of the subject and the brevity of human life.

The Athenians are right to accept advice from anyone, since it is incumbent on everyone to share in that sort of excellence, or else there can be no city at all.

When it comes to consideration of how to do well in running the city, which must proceed entirely through justice and soundness of mind.

You, Socrates, began by saying that virtue can't be taught, and now you are insisting on the opposite, trying to show that all things are knowledge, justice, soundness of mind, even courage, from which it would follow that virtue most certainly can be taught.

Man is the measure of all things: of things which are, that they are, and of things which are not, that they are not.

There are two sides to every question.

But Eudoxus the Cnidian, who was somewhat junior to Leon, and the companion of Plato, first of all rendered the multitude of those theorems which are called universals more abundant; and to three proportions added three others; and things relative to a section, which received their commencement from Plato, he diffused into a richer multitude, employing also resolutions in the prosecution of these.

Not much younger than these (sc. Hermotimus of Colophon and Philippus of Mende) is Euclid, who put together the Elements, collecting many of Eudoxus' theorems, perfecting many of Theaetetus', and also bringing to irrefragable demonstration the things which were only somewhat loosely proved by his predecessors. This man lived in the time of the first Ptolemy. For Archimedes, who came immediately after the first (Ptolemy), makes mention of Euclid: and, further, they say that Ptolemy once asked him if there was in geometry any shorter way than that of the elements, and he answered that there was no royal road to geometry. He is then younger than pupils of Plato but older than Eratosthenes and Archimedes; for the latter were contemporary with one another, as Eratosthenes somewhere says.

Again, Amyclas the Heracleotean, one of Plato's familiars, and Menæchmus, the disciple, indeed, of Eudoxus, but conversant with Plato, and his brother Dinostratus, rendered the whole of geometry as yet more perfect. But Theudius, the Magnian, appears to have excelled, as well in mathematical disciplines, as in the rest of philosophy. For he constructed elements egregiously, and rendered many particulars more universal. Besides, Cyzicinus the Athenian, flourished at the same period, and became illustrious in other mathematical disciplines, but especially in geometry. These, therefore, resorted by turns to the Academy, and employed themselves in proposing common questions.

This, therefore, is mathematics: she reminds you of the invisible form of the soul; she gives life to her own discoveries; she awakens the mind and purifies the intellect; she brings light to our intrinsic ideas; she abolishes oblivion and ignorance which are ours by birth.

But Hermotimus, the Colophonian, rendered more abundant what was formerly published by Eudoxus and Theætetus, and invented a multitude of elements, and wrote concerning some geometrical places. But Philippus the Mendæan, a disciple of Plato, and by him inflamed in the mathematical disciplines, both composed questions, according to the institutions of Plato, and proposed as the object of his enquiry whatever he thought conduced to the Platonic philosophy.

The Platonic doctrine of Ideas has been, in all ages, the derision of the vulgar, and the admiration of the wife. Indeed, if we consider that ideas are the most sublime objects of speculation, and that their nature is no less bright in itself, than difficult to investigate, this opposition in the conduct of mankind will be natural and necessary; for, from our connection with a material nature, our intellectual eye, previous to the irradiations of science, is as ill adapted to objects the most splendid of all, "as the eyes of bats to the light of day.

For this, to draw a right line from every point, to every point, follows the definition, which says, that a line is the flux of a point, and a right line an indeclinable and inflexible flow.

The mathematician speculates the causes of a certain sensible effect, without considering its actual existence; for the contemplation of universals excludes the knowledge of particulars; and he whose intellectual eye is fixed on that which is general and comprehensive, will think but little of that which is sensible and singular.

If two right lines cut one another, they will form the angles at the vertex equal. ...This... is what the present theorem evinces, that when two right lines mutually cut each other, the vertical angles are equal. And it was first invented according to Eudemus by Thales...

A transition, therefore, is not undeservedly made from sense to consideration, and from this to the nobler energies of intellect. Hence, as the certain knowledge of numbers received its origin among the Phœnicians, on account of merchandise and commerce, so geometry was found out among the Egyptians from the distribution of land. When Thales, therefore, first went into Egypt, he transferred this knowledge from thence into Greece: and he invented many things himself, and communicated to his successors the principles of many. Some of which were, indeed, more universal, but others extended to sensibles.

But after these, Pythagoras changed that philosophy, which is conversant about geometry itself, into the form of a liberal doctrine, considering its principles in a more exalted manner; and investigating its theorems immaterially and intellectually; who likewise invented a treatise of such things as cannot be explained in geometry, and discovered the constitution of the mundane figures.

It is told that those who first brought out the irrationals from concealment into the open perished in shipwreck, to a man. For the unutterable and the formless must needs be concealed. And those who uncovered and touched this image of life were instantaneously destroyed and shall remain forever exposed to the play of the eternal waves.

The fleshless diet contributes to health and to a suitable endurance of hard work in philosophy.

I think that when friendship and perception of kinship ruled everything, no one killed any creature, because people thought the other animals were related to them.

The utility of a science which enables men to take cognizance of the travellers on the mind's highway, and excludes those disorderly interlopers, verbal fallacies, needs but small attestation. Its searching penetration by definition alone, before which even mathematical precision fails, would especially commend it to those whom the abstruseness of the study does not terrify, and who recognise the valuable results which must attend discipline of mind. Like a medicine, though not a panacea for every ill, it has the health of the mind for its aim, but requires the determination of a powerful will to imbibe its nauseating yet wholesome influence: it is no wonder therefore that puny intellects, like weak stomachs, abhor and reject it.

Every good thing is gentle and consistent, progressing in good order and not going beyond what is right.

Every body is in place; but nothing essentially incorporeal, or any thing of this kind, has any locality.

Not only can logos be seen in absolutely all animals, but in many of them it has the groundwork for being perfected.

Things essentially incorporeal, because they are more excellent than all body and place, are every where, not with interval, but impartibly. Things essentially incorporeal are not locally present with bodies but are present with them when they please; by verging towards them so far as they are naturally adapted so to verge. They are not, however, present with them locally, but through habitude, proximity, and alliance. Things essentially incorporeal, are not present with bodies, by hypostasis and essence; for they are not mingled with bodies. But they impart a certain power which is proximate to bodies, through verging towards them. For tendency constitutes a certain secondary power proximate to bodies.

Animals are rational; in most of them logos is imperfect, but it is certainly not wholly lacking. So if, as our opponents say, justice applies to rational beings, why should not justice, for us, also apply to animals?

Soul, indeed, is a certain medium between an impartible essence, and an essence which is divisible about bodies. But intellect is an impartible essence alone. And qualities and material forms are divisible about bodies. Not everything which acts on another, effects that which it does effect by approximation and contact; but those natures which effect any thing by approximation and contact, use approximation accidentally.

The Pythagoreans made kindness to beasts a training in humanity and pity.

Incorporeal hypostases, in descending, are distributed into parts, and multiplied about individuals with a diminution of power; but when they ascend by their energies beyond bodies, they become united, and proceed into a simultaneous subsistence, through exuberance of power.