Philosophy Dictionary of ArgumentsHome
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| Invariants: An invariant is a quantity or relationship that remains the same under certain transformations, which means that it is the same for all observers, regardless of their motion. Invariants are the conservation of energy, the conservation of momentum, the conservation of angular momentum, the laws of thermodynamics. See also Conservation laws._____________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. | |||
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Christian Thiel on Invariants - Dictionary of Arguments
I 301 Def Scale Invariance/Thiel: Shape equality of all distances. Because of the scale invariance, the size statements of the geometry are always only those about proportions. But these have to be defined first with a form-theoretical approach. Especially the equality of size. (FregeVs: first equality, then number). Since we could explain geometric shape equality only after the determination of excellent shapes in protogeometry, the fitting equality does not provide the size equality (congruence) required in shape-theoretical geometry. This can be defined differently, e.g. for distances by the possibility of connecting both by a sequence of symmetrical triangles. >Self-similarity, >Congruence,_____________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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> Counter arguments against Thiel
> Counter arguments in relation to Invariants
Ed. Martin Schulz, access date 2024-04-19