The error of Socrates must be attributed to the false notion of unity from which he starts. Unity there should be, both of the family and of the state, but in some respects only. For there is a point at which a state may attain such a degree of unity as to be no longer a state, or at which, without actually ceasing to exist, it will become an inferior state, like harmony passing into unison, or rhythm which has been reduced to a single foot. The state, as I was saying, is a plurality which should be united and made into a community by education
I have reached the conviction that the abolition of the death penalty is desirable. Reasons: 1) Irreparability in the event of an error of justice, 2) Detrimental moral influence of the execution procedure on those who, whether directly or indirectly, have to do with the procedure.
Those who assert that the mathematical sciences say nothing of the beautiful or the good are in error. For these sciences say and prove a great deal about them; if they do not expressly mention them, but prove attributes which are their results or definitions, it is not true that they tell us nothing about them. The chief forms of beauty are order and symmetry and definiteness, which the mathematical sciences demonstrate in a special degree.
Concepts which have proved useful for ordering things easily assume so great an authority over us, that we forget their terrestrial origin and accept them as unalterable facts. They then become labeled as 'conceptual necessities,' etc. The road of scientific progress is frequently blocked for long periods by such errors.
Who else is it who calls us back from the death of error, except the life that does not know death, and the wisdom which, needing no light, enlightens minds which are in darkness, that wisdom by which the whole world, even to the leaves of trees drifting in the wind, is governed?
Many a profound genius, I suppose, who fills the world with fame of his exploding renowned errors, is yet everyday posed and baffled by trivial questions at his own supper table.
The near side of a galaxy is tens of thousands of light-years closer to us than the far side; thus we see the front as it was tens of thousands of years before the back. But typical events in galactic dynamics occupy tens of millions of years, so the error in thinking of an image of a galaxy as frozen in one moment of time is small.