Philosophy Dictionary of ArgumentsHome
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| Equality: A. In mathematics, equality is a relationship between two quantities or expressions, asserting that they have the same value. It is written using the equals sign (=). For example, 2+3=5 and x=2x/2 are both equalities. The concept is also used in many other fields, such as physics, engineering, and computer science. - B. Equality in politics is the idea that all people are equal in fundamental worth or moral status. This means that all people deserve to be treated with respect and dignity, regardless of their race, gender, religion, social class, or any other factor. See also Equal sign, Equations._____________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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G. Frege on Equality - Dictionary of Arguments
I 89 f Number/Frege: the number is an abstract object - not a property (see below). Equality of Numbers/numerical equality/equality: equality is a concept (not a subject). >Numbers, >Objects. I 94 Equality/Frege: if a = b is true, is found out by introducing a third element (a mark), is there a c for which the following applies: a = c and b = c? ((s) tertium comparationis) ((s) here: e.g. equality in terms of numbers). I 95 Equality/Frege: ((s) number equality/numerical equality/(s): number equality is a concept, not an object - this is what we need here.) Frege: assuming equality simpliciter would require re-explaining it in any case by establishing an equation. I 95 Direction/Frege: we can obtain the concept of direction from the parallelism of straight lines - by conceiving a II b as an equation. From this we abstract the concept of direction. Also with parallelism the concept of equality is the first thing to be established. ((s) but not equality of direction). >Concepts. I 96 Direction/Frege: direction cannot distinguish from the straight line. I 102 Equality of Numbers/numerical equality/numbers/definition/Frege/(s): quantity can be defined by numerical equality, because there is no need to count for numerical equality! E.g. assigning knives to plates without counting. >Definition._____________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. |
F I G. Frege Die Grundlagen der Arithmetik Stuttgart 1987 F II G. Frege Funktion, Begriff, Bedeutung Göttingen 1994 F IV G. Frege Logische Untersuchungen Göttingen 1993 |
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Ed. Martin Schulz, access date 2024-04-18