They (i. e., the Pythagoreans) did not advocate the free confrontation of conflicting points of view. Instead, like all orthodox religions, they practised a rigidity that prevented them from correcting their errors.
We cannot see outside what we are not inside. The universe is to us what the huge engine is to the miniature engine; and indication of any error in the tiny engine leads us to imagine trouble in the huge one.
Truths ... are too often considered as so true, that they lose all the power of truth, and lie bed-ridden in the dormitory of the soul, side by side with the most despised and exploded errors.
Without scheming to do wrong, or to make others unhappy, there may be error and there may be misery. Thoughtlessness, want of attention to other people's feelings, and want of resolution, will do the business.
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.
The fossil record implies trial and error, an inability to anticipate the future, features inconsistent with an efficient Great Designer (although not with a Designer of a more remote and indirect temperament)
The mystic must be steadily told,-All that you say is just as true without the tedious use of that symbol as with it. Let us have a little algebra, instead of this trite rhetoric,-universal signs, instead of these village symbols,-and we shall both be gainers. The history of hierarchies seems to show that all religious error consisted in making the symbol too stark and solid, and was at last nothing but an excess of the organ of language.
Were half the power that fills the world with terror, Were half the wealth bestowed on camps and courts, Given to redeem the human mind from error, There were no need of arsenals or forts.
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.
We are prodding, challenging, seeking contradictions or small, persistent residual errors, proposing alternative explanations, encouraging heresy. We give our highest rewards to those who convincingly disprove established beliefs.