“The last function of reason is to recognize that there are an infinity of things which surpass it.”

Variant: Reason's last step is the recognition that there are an infinite number of things which are beyond it.
Source: Pensées

Last update Sept. 29, 2023. History

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Blaise Pascal 144
French mathematician, physicist, inventor, writer, and Chri… 1623–1662

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“Wit lies in recognizing the resemblance among things which differ and the difference between things which are alike.”

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Context: The reason which placed the stars, the sense of proportion which we recognize in the planetary system, finds its correspondence in this brain of ours. We question every feature of what we see, think, and feel. We try every link of the chain and find it sound if we ourselves are sound. This power of remotest question and assent is not of to-day nor yesterday.
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“The essential characteristic of reasoning by recurrence is that it contains, condensed, so to speak, in a single formula, an infinity of syllogisms.”

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Context: This procedure is the demonstration by recurrence. We first establish a theorem for n = 1; then we show that if it is true of n - 1, it is true of n, and thence conclude that it is true for all the whole numbers... Here then we have the mathematical reasoning par excellence, and we must examine it more closely.
... The essential characteristic of reasoning by recurrence is that it contains, condensed, so to speak, in a single formula, an infinity of syllogisms.
... to arrive at the smallest theorem [we] can not dispense with the aid of reasoning by recurrence, for this is an instrument which enables us to pass from the finite to the infinite.
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“Now, as there is an infinity of possible universes in the Ideas of God, and as only one of them can exist, there must be a sufficient reason for God's choice, which determines him toward one rather than another. And this reason can be found only in the fitness, or the degrees of perfection, that these worlds contain, since each possible thing has the right to claim existence in proportion to the perfection it involves.”

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Or, comme il y a une infinité d'univers possibles dans les idées de Dieu, et qu'il n'en peut exister qu'un seul, il faut qu'il y ait une raison suffisante du choix de Dieu qui le détermine à l'un plutôt qu'à l'autre. Et cette raison ne peut se trouver que dans la convenance, dans les degrés de perfection que ces mondes contiennent, chaque possible ayant droit de prétendre à l'existence à mesure de la perfection qu'il enveloppe.
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