“Reason does not reason. It goes straight to the fact or the consequence.”

— Joseph Joubert

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Joseph Joubert 253

French moralist and essayist 1754–1824

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“To me the entire uselessness of such rules^as practical guides lies in the inherent vagueness of the word "reasonable," the absolute impossibility of finding a definite standard, to be expressed in language, for the fairness and the reason of mankind, even of Judges. The reason and fairness of one man is manifestly no rule for the reason and fairness of another, and it is an awkward, but as far as I see, an inevitable consequence of the rule, that in every case where the decision of a Judge is overruled, who does or does not stop a case on the ground that there is, or is not, reasonable evidence for reasonable |men, those who overrule him say, by implication, that in the case before them, the Judge who is overruled is out of the pale of reasonable men.”

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“As Hegel well knew, the ascent of reason has never followed a straight line.”

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“The heart has its reasons, which reason does not know.”

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“Yet it is incumbent on those in high places to make wise decisions and it is reasonable and important that the public be correctly informed. It is consequently incumbent on all of us to state the facts as forthrightly as possible.”

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“Reason does not exist for the sake of life, but life for the sake of reason. An existence which does not of itself satisfy reason and solve all her doubts, cannot be the true one.”

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“There are two kinds of truths: those of reasoning and those of fact. The truths of reasoning are necessary and their opposite is impossible; the truths of fact are contingent and their opposites are possible.”

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Il y a aussi deux sortes de vérités, celles de Raisonnement et celle de Fait. Les vérités de Raisonnement sont nécessaires et leur opposé est impossible, et celles de Fait sont contingentes et leur opposé est possible.
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“Does the mathematical method proceed from particular to the general, and, if so, how can it be called deductive? …If we refuse to admit these consequences, it must be conceded that mathematical reasoning has of itself a sort of creative virtue and consequently differs from a syllogism.”

Henri Poincaré book Science and Hypothesis

Source: Science and Hypothesis (1901), Ch. I: On the Nature of Mathematical Reasoning (1905) Tr. https://books.google.com/books?id=5nQSAAAAYAAJ George Bruce Halstead
Context: The very possibility of the science of mathematics seems an insoluble contradiction. If this science is deductive only in appearance, whence does it derive that perfect rigor no one dreams of doubting? If, on the contrary, all the propositions it enunciates can be deduced one from another by the rules of formal logic, why is not mathematics reduced to an immense tautology? The syllogism can teach us nothing essentially new, and, if everything is to spring from the principle of identity, everything should be capable of being reduced to it. Shall we then admit that the enunciations of all those theorems which fill so many volumes are nothing but devious ways of saying A is A!... Does the mathematical method proceed from particular to the general, and, if so, how can it be called deductive?... If we refuse to admit these consequences, it must be conceded that mathematical reasoning has of itself a sort of creative virtue and consequently differs from a syllogism.<!--pp.5-6

“Intuition does not denote something contrary to reason, but something outside of the province of reason.”

C.G. Jung (1875–1961) Swiss psychiatrist and psychotherapist who founded analytical psychology

“Reason does not reason. It goes straight to the fact or the consequence.”

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Joseph Joubert 253

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