Life in the true sense is perceiving or thinking.

Something is infinite if, taking it quantity by quantity, we can always take something outside.

Metaphysics is universal and is exclusively concerned with primary substance. ... And here we will have the science to study that which is, both in its essence and in the properties which it has.

Knowledge of the fact differs from knowledge of the reason for the fact.

Metaphysics involves intuitive knowledge of unprovable starting-points concepts and truth and demonstrative knowledge of what follows from them.

Wise people have an inward sense of what is beautiful, and the highest wisdom is to trust this intuition and be guided by it.

Hence both women and children must be educated with an eye to the constitution, if indeed it makes any difference to the virtue of a city-state that its children be virtuous, and its women too. And it must make a difference, since half the free population are women, and from children come those who participate in the constitution.