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.
Every limited mind demands a certain freedom of expression, and the man who cannot express himself satisfactorily without the stimulation derived from the spirited mode of two centuries ago should certainly be permitted to follow without undue restraint a practice so harmless, so free from essential error, and so sanctioned by precedent, as that of employing in his poetical compositions the smooth and inoffensive allowable rhyme.
Not complete inaction, which is an error, a confusion, a self-delusion, an impossibility, but action full and
free done without subjection to sense and passion, desireless and unattached works, are the first secret of perfection.
I would just like to remember some words of St. Francis of Assisi which I think are really just particularly apt at the moment. 'Where there is discord, may we bring harmony. Where there is error, may we bring truth. Where there is doubt, may we bring faith. And where there is despair, may we bring hope.
A collection of errors does not make a truth: quality cannot stem from quantity – a value is not a weight. The reasons of the majority cannot be taken as good reasons.
It is too often believed that a person in his progress towards perfection passes from error to truth; that when he passes on from one thought to another, he must necessarily reject the first. But no error can lead to truth. The soul passing through its different stages goes from truth to truth, and each stage is true; it goes from lower truth to higher truth.
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.