Philosophy Dictionary of Arguments

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Paradoxes: are contradictions within formally correct statements or sets of statements that lead to an existence assumption, which initially seemed plausible, to be withdrawn. Paradoxes are not errors, but challenges that may lead to a re-formulation of the prerequisites and assumptions, or to a change in the language, the subject domain, and the logical system. See also Russellian paradox, contradictions, range, consistency.

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Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.

 
Author Item Summary Meta data
I 200
Bertrand's Paradox/Barrow: we want to calculate with which probability a randomly drawn secant of a circle is longer than the side of the equilateral triangle inscribed in the circle. The equidistant events are 1/2, 1/4, or 1/3, depending on the choice of the starting point (which entails consequences).
Therefore the probability cannot be estimated completely mechanically. A subjective assessment of the "global" nature of the problem is necessary to make the meaning of the solution clear.

Bertrand's paradox/probability/Barrow: Bertrand's paradox shows that probability cannot be mechanically estimated, it must be delimited by a first choice.


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Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution.
The note [Author1]Vs[Author2] or [Author]Vs[term] is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.

B I
John D. Barrow
Warum die Welt mathematisch ist Frankfurt/M. 1996

B II
John D. Barrow
The World Within the World, Oxford/New York 1988
German Edition:
Die Natur der Natur: Wissen an den Grenzen von Raum und Zeit Heidelberg 1993

B III
John D. Barrow
Impossibility. The Limits of Science and the Science of Limits, Oxford/New York 1998
German Edition:
Die Entdeckung des Unmöglichen. Forschung an den Grenzen des Wissens Heidelberg 2001


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Ed. Martin Schulz, access date 2020-04-10
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