|Independence, philosophy: the concept of independence is relevant in the context of the countability of events. It is thus a question of whether an event is a condition, a sequence or a side effect of an event, or whether it is to be counted as a separate event. See also epiphenomenalism, cause, effect, dependency, relations, overlap, autonomy, overlap._____________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. |
Christian Thiel on Independence - Dictionary of Arguments
Thiel I 76
Independence/Mathematics/Thiel: Example: an area should be tiled. Only double tiles are available. In the example given, one tile is missing at each of two diagonal corners. Is there a double tile filling? Because of the finite possibilities, the solution could be found by trial and error, but it should not be.
The mathematical solution is to think of the fields coloured like chessboards. Each double tile must then be coloured accordingly. Since the missing fields must be the same color, the task cannot be executed!
This also shows the independence from other mathematical theories._____________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 [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.
Philosophie und Mathematik Darmstadt 1995