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“Since fresh examples and proofs could always be found of the alleged relation between guilt and punishment: if you behave in such and such a way, it will go badly with you. Now, as it generally does go badly, the allegation was constantly confirmed; and thus popular morality, a pseudo- science on a level with popular medicine, continually gained ground.”

“I am obliged to interpolate some remarks on a very difficult subject: proof and its importance in mathematics. All physicists, and a good many quite respectable mathematicians, are contemptuous about proof. I have heard Professor Eddington, for example, maintain that proof, as pure mathematicians understand it, is really quite uninteresting and unimportant, and that no one who is really certain that he has found something good should waste his time looking for proof.”

“The second [argument about motion] is the so-called Achilles, and it amounts to this, that in a race the quickest runner can never overtake the slowest, since the pursuer must first reach the point whence the pursued started, so that the slower must always hold a lead. Statement of the Achilles and the Tortoise paradox in the relation of the discrete to the continuous.; perhaps the earliest example of the reductio ad absurdum method of proof.”

“There is no better example of the weakness of our dominant medicine than its clearly ineffective War On Cancer. By the same token, there is no better example of the superiority of complementary, alternative medicine than its management of this dread disease. We are equally concerned about whether mainstream medicine's demand for proof works to maintain it at its current level of ineptitude.”

“It's likely that CO2 has some warming effect, but real proof of that hypothesis is tricky. You have to confirm by observation exactly how the CO2 changes the situation at different altitudes in the atmosphere and in different regions of the world. For example, CO2 is supposed to warm the upper air faster than the surface, but the measurements don't show that happening. When the CO2 effect is eventually pinned down, it will probably turn out to be weaker and much less worrisome than predicted by the global warming theorists.”