Philosophy Dictionary of ArgumentsHome
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| Order, philosophy: order is the division of a subject area by distinctions or the highlighting of certain differences as opposed to other differences. The resulting order can be one-dimensional or multi-dimensional, i.e. linear or spatial. Examples are family trees, lexicons, lists, alphabets. It may be that only an order makes certain characteristics visible, e.g. contour lines. Ordering spaces may be more than three-dimensional, e.g. in the attribution of temperatures to color-determined objects. See also conceptual space, hierarchies, distinctness, indistinguishability, stratification, identification, individuation, specification._____________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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Gerhard Schurz on Order - Dictionary of Arguments
I 76 Def Quasi-order/Schurz: must satisfy three axioms: (i) reflexivity (ii) transitivity (iii) Connexity: i.e. everything is comparable to everything. (x)(y)(x ≤My v y ≤M x). From this follows the antisymmetry of ≤M. And it follows that ≤M is an equivalence relation. Def Order/Schurz: This order is a quasi-order in which no two objects have the same rank. Ordinal Scale: Whether the conditions of transitivity and connexity are met is an empirical question. >Scales, >Measurements._____________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. |
Schu I G. Schurz Einführung in die Wissenschaftstheorie Darmstadt 2006 |
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Ed. Martin Schulz, access date 2024-04-26