Arguments that prove too much prove nothing.
Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is a far finer gambit than any chess play: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.
When any opinion leads to absurdity, it is certainly false; but it is not certain that an opinion is false because it is of dangerous consequence.
The obvious reductio ad absurdum is Holocaust deniers: Should their perspective be provided, for "balance," any time someone writes about the Holocaust?
By your logic I should also be in charge of Solinade dances, needlework, and horse thieving.
The housewife is an unpaid worker in her husband's house in return for the security of being a permanent employee: hers is the reductio ad absurdum of the employee who accepts a lower wage in return for permanence of his employment. But the lowest paid employees can be and are laid off, and so are wives. They have no savings, no skills which they can bargain with elsewhere, and they must bear the stigma of having been sacked.
Some have said that the thesis [of indeterminacy] is a consequence of my behaviorism. Some have said that it is a reductio ad absurdum of my behaviorism. I disagree with this second point, but I agree with the first. I hold further that the behaviorism approach is mandatory. In psychology one may or may not be a behaviorist, but in linguistics one has no choice.
If God existed (a question concerning which Jubal maintained a meticulous intellectual neutrality) and if He desired to be worshiped (a proposition which Jubal found inherently improbable but conceivably possible in the dim light of his own ignorance), then (stipulating affirmatively both the above) it nevertheless seemed wildly unlikely to Jubal to the point of reductio ad absurdum that a God potent to shape galaxies would be titillated and swayed by the whoop-te-do nonsense the Fosterites offered Him as "worship.
... the notion that the greater the preparation for war the smaller the probability of its occurrence might well appear a reductio ad absurdum of militarism, implying, as it does, that the only way to secure an eternal world peace is to concentrate the entire energy of all nations upon the art of war ...
Hobson, like Mark Twain in America, was a major critic of imperialism.
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.
Imagism was a reductio ad absurdum of one or two tendencies of romanticism, such a beautifully and finally absurd one that it is hard to believe it existed as anything but a logical construction; and what imagist found it possible to go on writing imagist poetry? A number of poets have stopped writing entirely; others, like recurring decimals, repeat the novelties they commeced with, each time less valuably than before. And there are surrealist poetry, and political poetry, and all the othe refuges of the indigent.