1 is not prime, by definition. 2 is an unnatural prime, 4 is an unnatural prime, and 6 is an unnatural prime. All other natural primes cannot be unnatural primes.

The heart is the perfection of the whole organism. Therefore the principles of the power of perception and the souls ability to nourish itself must lie in the heart.

Happiness does not consist in pastimes and amusements but in virtuous activities.

For any two portions of fire, small or great, will exhibit the same ratio of solid to void; but the upward movement of the greater is quicker than that of the less, just as the downward movement of a mass of gold or lead, or of any other body endowed with weight, is quicker in proportion to its size.

Poetry is finer and more philosophical than history; for poetry expresses the universal, and history only the particular.

I will not allow the Athenians to sin twice against philosophy.

A democracy when put to the strain grows weak, and is supplanted by Oligarchy.