Philosophy Dictionary of Arguments

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Laws: A. Laws are rules created and enforced by governments to regulate behavior, protect people's rights, and promote order and justice in society. - B. Laws of nature are fundamental principles that describe how the universe works. They are universal and unchanging. - C. The status of laws in the individual sciences is controversial, since they may only describe regularities. See also Natural laws, Regularities, Principles.
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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 Concept Summary/Quotes Sources

F. Waismann on Laws - Dictionary of Arguments

I 91
E.g. the sequence of the prime numbers is a sequence without a formula, but not without a law! The law is, of course, to be expressed only by language, no formula is known. Nevertheless, there is a clear rule for the formation of the sequence!
>Rules
, >Method.
Additional difficulty: if we demand a law for the formation of consequences, this would be a strict demand, but only if we had a strict concept of the law!
E.g. we can define a sequence for x n + y n = z n: t n should be 1, if three integers can be found, it is insoluble for integers, if t n = 0. The sequence would then begin like this:

1,1,0,0,0,...

and no one can say to-day whether the two first ones are followed by zeros or not.
I 92
Is this provision a law now? Or does it make a law when Fermat's conjecture is proved?
>Proofs, >Provability.

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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. Translations: Dictionary of Arguments
The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.

Waismann I
F. Waismann
Einführung in das mathematische Denken Darmstadt 1996

Waismann II
F. Waismann
Logik, Sprache, Philosophie Stuttgart 1976


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Ed. Martin Schulz, access date 2024-04-19
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