Quotes About Logic

Thinking of mind as program trained you to think in absolutes

Faith is not contrary to reason.

Faith is reason grown courageous

Fear," the doctor said, "is the relinquishment of logic, the willing relinquishing of reasonable patterns. We yield to it or we fight it, but we cannot meet it halfway.

No matter how significant the numbers are according to their own logic, statistics fail to convey the true, lived meaning of the suffering they contain and can thus leave us numbly indifferent.

As a chief justice of the United States once said, blacks were three-fifths of a human, and only a full human being should have rights, the implication being that three-fifths of a human being was something fit to function only as a beast of burden. Well, that is a distortion exposing the enemies of logic and reason, and among them are mass hysteria, hate, prejudice, and ignorance. With

But it is logically impossible that there could exist an 'unowned' dent, a dent without a surface that is dented.

Finding a mechanism does not bypass the problem of induction.

Imagination abandoned by reason produces impossible monsters: united with her, she is the mother of the arts and the source of her wonders.

To process thoughts well is a matter of being able to avoid confusion, detect ambiguities, keep things in mind one at a time, make reliable arguments, become aware of alternatives, and so on.

My father was the most rational and the most dispassionate of men.

God exists since mathematics is consistent, and the Devil exists since we cannot prove it.

Maths is one of the purest forms of thought, and to outsiders mathematicians may seem almost other-worldly.

A mathematician is a machine for turning coffee into theorems.

Similarly, if you're trying to prove something mathematically, it's possible that no proof exists.

Proof is what lies at the heart of maths, and is what marks it out from other sciences. Other sciences have hypotheses that are tested against experimental evidence until they fail, and are overtaken by new hypotheses. In maths, absolute proof is the goal, and once something is proved, it is proved forever, with no room for change.

Although this may seem a paradox, all exact science is dominated by the idea of approximation.

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.

Scientific proof is inevitably fickle and shoddy. On the other hand mathematical proof is absolute and devoid of doubt.

The mathematician's patterns, like the painter's or the poet's, must be beautiful; the ideas, like the colours or the words, must fit together in a harmonious way. Beauty is the first test: there is no permanent place in the world for ugly mathematics. G.H. Hardy

Elementary My dear Watson

Proof is the idol before whom the pure mathematician tortures himself.

Reason is the life of the law; nay, the common law itself is nothing else but reason… The law, which is perfection of reason.

Presumption means nothing more than as stated by Lord Mansfield, the weighing of probabilities, and deciding, by the powers of common sense, on which side the truth is.