“Mathematically speaking, the probable (that in 6,000,000,000 throws with a regular six-sided die the die will come up proximately 1 ,000,000,000 times) and the improbable (that in six throws with the same die the one will come approximately up six times) are not different in kind, but only in frequency, whereby the more frequent appears a priori more probable.
But the occasional occurrence of the improbable does not imply the intervention of a higher power, something in the nature of a miracle, as the layman is so ready to assume. The term "probability" includes improbability at the extreme limits of probability, and when the improbable does occur this is no cause for surprise, bewilderment or mystification.
Cf. Ernst Mally's Probability and Law, Hans Reichenbach The theory Probability, Whitehead and Russell's Principia Mathematica, von Mises' Probability, Statistics and Truth”
― Homo Faber
But the occasional occurrence of the improbable does not imply the intervention of a higher power, something in the nature of a miracle, as the layman is so ready to assume. The term "probability" includes improbability at the extreme limits of probability, and when the improbable does occur this is no cause for surprise, bewilderment or mystification.
Cf. Ernst Mally's Probability and Law, Hans Reichenbach The theory Probability, Whitehead and Russell's Principia Mathematica, von Mises' Probability, Statistics and Truth”
― Homo Faber
“Książką można czytelnikowi głowę, owszem przemeblować o tyle, o ile jakieś meble już w niej przed lekturą stały.”
― Doskonała próżnia. Wielkość urojona
― Doskonała próżnia. Wielkość urojona
“If someone has a gun and is trying to kill you, it would be reasonable to shoot back with your own gun. Not at the head, where a fatal wound might result. But at some other body part, such as a leg.”
―
―
“Das Wahrscheinliche (dass bei 6 000 000 000 Würfen mit einem regelmäßigen Sechserwürfel annähernd 1 000 000 000 Einser vorkommen) und das Unwahrscheinliche (dass bei 6 Würfen mit demselben Würfel einmal 6 Einser vorkommen) unterscheiden sich nicht dem Wesen nach, sondern nur Häufigkeit nach, wobei das Häufigere von vornherein als glaubwürdiger erscheint. Es ist aber, wenn einmal das Unwahrscheinliche eintritt, nichts Höheres dabei, keinerlei Wunder oder Derartiges, wie es der Laie so gerne haben möchte. Indem wir vom Wahrscheinlichen sprechen, ist ja das Unwahrscheinliche immer schon inbegriffen und zwar als Grenzfall des Möglichen, und wenn es einmal eintritt, das Unwahrscheinliche, so besteht für unsereinen keinerlei Grund zur Verwunderung, zur Erschütterung, zur Mystifikation.”
― Homo Faber
― Homo Faber
“5.6 The limits of my language mean the limits of my world.
5.61 Logic fills the world: the limits of the world are also its limits.
We cannot therefore say in logic: This and this there is in the world, that there is not.
For that would apparently presuppose that we exclude certain possibilities, and this cannot be the case since otherwise logic must get outside the limits of the world : that is, if it could consider these limits from the other side also.
What we cannot think, that we cannot think: we cannot therefore say what we cannot think.”
― Tractatus Logico Philosophicus
5.61 Logic fills the world: the limits of the world are also its limits.
We cannot therefore say in logic: This and this there is in the world, that there is not.
For that would apparently presuppose that we exclude certain possibilities, and this cannot be the case since otherwise logic must get outside the limits of the world : that is, if it could consider these limits from the other side also.
What we cannot think, that we cannot think: we cannot therefore say what we cannot think.”
― Tractatus Logico Philosophicus
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