Philosophy Dictionary of Arguments

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Dimension: an entity, about which it can be stated, whether a change has taken place or could take place, for example, a displacement of an object along a single axis. In physics, e.g. degrees of freedom.

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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

Christian Thiel on Dimensions - Dictionary of Arguments

I 278
Space/Dimensions/Axioms/Thiel: The 19th century has shown that the replacement of the Euclidean axiom system of geometry by a contradictory one is also possible without contradiction for the assumption of a space with more than three dimensions.
I 279
The derivation of the geometric sentences is entirely formal, without reference to the life world. The dispute over the "justification" of non-Euclidean geometry actually only concerned the hasty claim that it was now the "right" instead of the "wrong" Euclidean.
Rather important is the change of meaning of the terms "axiom", "definition", "space", and "geometry" connected with this development.


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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.

T I
Chr. Thiel
Philosophie und Mathematik Darmstadt 1995


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Ed. Martin Schulz, access date 2022-09-25
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