Delta], and then confirms byreductio ad absurdum the equality of the area of the parabolic segment to this area.
With him the reductio ad absurdum is a convincing argument.
Time, then, is the criterion of societies; thus looked at, history is the demonstration of the errors of humanity by the argument reductio ad absurdum.
Universal war is the reductio ad absurdum of false political theories and false moral ideals; and the reductio ad absurdum is the chief argument which Providence uses with mankind.
Indeed it would not be difficult to dispose of it by the method of reasoning familiarly known as a reductio ad absurdum.
Among the other proofs is that of the reductio ad absurdum, which the student might now meet, but which may better be postponed.
It has the sanction of some of the most eminent mathematicians, and while not as satisfactory in some respects as the reductio ad absurdum, mentioned below, it is more satisfactory in most particulars.
The French geometer, Legendre, gave a rigorous proof by reductio ad absurdum.
The phrase reductio ad absurdum seems likely to continue in spite of the efforts to find another one that is simpler.
Plato's, used the reductio ad absurdum, and Plato is said to have invented the method of proof by analysis, an elaboration of the plan used by Hippocrates.
They prove elaborately, by a reductio ad absurdum, that the volumes cannot be unequal.
The proof given consists in what is called a reductio ad absurdum, a kind of proof often used by Euclid, and principally in proving the converse of a previous theorem.
This led Saccheri to attempt a reductio ad absurdum, in which he mistakenly believed himself to have succeeded.
This is a reductio ad absurdum, but it shows the effect of having the greatest beam too far aft.
Mr. Lane's fallacy was exploded by thisreductio ad absurdum of his tenets, and regulation weights for coxswains were initiated for following years.
Much of the commentary contains sound advice, but it leads off into that reductio ad absurdum so characteristic of Russian thought.
I hope that one result has been to convince you of the danger lying in the use of the reductio ad absurdum argument when dealing with cultures widely different from our own.
Thomas[13] had used it as the basis of a reductio ad absurdum argument to show that terms of relationship do not express kinship.
There is no doctrine in Hinduism which has been carried to such a reductioad absurdum.
As far as I can understand the bearing of this self-contradictory demonstration, it appears a reductio ad absurdum of the proposition--Unum is not Multa.
It concludes with a string of demonstrations by which contradictory conclusions (Both and Neither) are successively proved, and which appear like a reductio ad absurdum of all demonstration.
Pharisaism is at once the logical consummation and the reductio ad absurdum of legalism.
This reductio ad absurdum of legalism is exactly paralleled, in many of our elementary schools, in the answers to arithmetical questions given by the children.
A reductio ad absurdum of the theories of Sarrazin.
It has been urged, as a reductio ad absurdum of the view which would connect Beowulf with Virgil, that the relation to the Odyssey is more obvious than that to the Aeneid.
The reconstitution of this particular dream illustrates thereductio ad absurdum of the two previous psycho-analytic "solutions.
However, since this leads us to a reductio ad absurdum, we must, of course, reject the explanation which has been offered by the Freudian school.
And I conceive his reply to be to this effect; and to be thus a reductio ad absurdum of the Theory of Ideas in this sense.
The reductio ad absurdum is surely reached in the case of the Commander-in-Chief and the Chief of the Staff.
The necessity of such a principle may be shown by a simple reductio ad absurdum, as follows.
This reductio ad absurdum surely suffices, by itself, to prove the essential relativity of space.
The other instance which I shall quote is a truly astonishing one, and may be called the reductio ad absurdum of the theory of inconceivableness.
Sometimes the same thing is knowingly done, for the purpose of showing the falsity of the assumption; which is called a reductio ad absurdum.
That the premises can not be true if the conclusion is false, is the unexceptionable foundation of the legitimate mode of reasoning called reductio ad absurdum.
These two are sufficient; for the corresponding propositions respecting unequals may be proved from these by a reductio ad absurdum.
The reductio ad absurdum is not of Nature, but of selfish individualism, which suffers shipwreck alike in objective and in subjective religion.
Such a reductio ad absurdum of a proposition would be also a reductio ad absurdum of the reason itself, leaving no inference, no intuition, no perception, to be rationally trusted.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "reductio" in a variety of sentences. We hope that you will now be able to make sentences using this word.
