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It must be granted that in every syllogism, considered as an argument to prove the conclusion, there is a petitio principii. When we say, All men are mortal Socrates is a man therefore Socrates is mortal; it is unanswerably urged by the adversaries of the syllogistic theory, that the proposition, Socrates is mortal.
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The application of algebra to geometry... far more than any of his metaphysical speculations, has immortalized the name of Descartes, and constitutes the greatest single step ever made in the progress of the exact sciences.
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Whatever crushes individuality is despotism.
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In proportion to the development of his individuality, each person becomes more valuable to himself, and is therefore capable of being more valuable to others. . . .
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I confess that I am not charmed with the ideal of life held out by those who think that the normal state of human beings is that of struggling to get on; that the trampling, crushing, elbowing, and treading on each other's heels, which form the existing type of social life, are the most desirable lot of human beings.
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Thus the cloud gradually drew off, and I again enjoyed life: and though I had several relapses, some of which lasted many months, I never again was as miserable as I had been.
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Lord, enlighten thou our enemies. Sharpen their wits, give acuteness to their perceptions, and consecutiveness and clearness to their reasoning powers: we are in danger from their folly, not from their wisdom; their weakness is what fills us with apprehension, not their strength.
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The ends of scientific classification are best answered, when the objects are formed into groups respecting which a greater number of general propositions can be made, and those propositions more important, than could be made respecting any other groups into which the same things could be distributed. ... A classification thus formed is properly scientific or philosophical, and is commonly called a Natural, in contradistinction to a Technical or Artificial, classification or arrangement.
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We have a right, also, in various ways, to act upon our unfavorable opinion of anyone, not to the oppression of his individuality, but in the exercise of ours.
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The true virtue of human beings is fitness to live together as equals; claiming nothing for themselves but what they as freely concede to everyone else; regarding command of any kind as an exceptional neccessity, and in all cases a temporary one.
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Men might as well be imprisoned, as excluded from the means of earning their bread.
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In proportion to the development of his individuality, each person becomes more valuable to others. There is a greater fullness of life about his own existence, and when there is more life in the units there is more in the mass which is composed of them.
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The legal subordination of one sex to another - is wrong in itself, and now one of the chief hindrances to human improvement; and that it ought to be replaced by a system of perfect equality, admitting no power and privilege on the one side, nor disability on the other.
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There is a very real evil consequent on ascribing supernatural origin to the received maxilms of morality. That origin consecrates the whole of them and protects them from being discussed or criticized.
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The philosophy of reasoning, to be complete, ought to comprise the theory of bad as well as of good reasoning.
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The beliefs which we have most warrant for, have no safeguard to rest on, but a standing invitation to the whole world to prove them unfounded.
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The only part of the conduct of any one, for which he is amenable to society, is that which concerns others. In the part which merely concerns himself, his independence is, of right, absolute. Over himself, over his own body and mind, the individual is sovereign.
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If opponents of all important truths do not exist, it is indispensable to imagine them and supply them with the strongest arguments which the most skillful devil's advocate can conjure up.
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The idea that truth always triumphs over persecution is one of those pleasant falsehoods, which most experience refutes. History is teeming with instances of truth put down by persecution. If not put down forever, it may be set back for centuries.
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Nothing contributes more to nourish elevation of sentiments in a people, than the large and free character of their habitations.
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The most important thing women have to do is to stir up the zeal of women themselves.
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It is part of the irony of life that the strongest feelings of devoted gratitude of which human nature seems to be susceptible, are called forth in human beings towards those who, having the power entirely to crush their earthly existence, voluntarily refrain from using that power.
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... the besetting danger is not so much of embracing falsehood for truth, as of mistaking a part of the truth for the whole.
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I am thus one of the very few examples, in this country, of one who has, not thrown off religious belief, but never had it.