Philosophy Dictionary of Arguments

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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.
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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

Logic Texts on Equality - Dictionary of Arguments

Menne I 62
Identity: one thing.
Equality: two things.
Equality is expressed in relation to a characteristic.
Menne: one cannot meaningfully speak of the identity of properties.
>Properties
, >Schematic letters, >Quantification over properties.

Principia Mathematica(1)/Russell/Whitehead/Menne: Identity of individuals: expressed by "x = x".
Equivalence of statements, i.e. the equality of the truth value of two statements: by an Identity sign: "p ≡ p".
classes: are called "identical".
Identity: here a thing appears under two names.
Equality: is expressed by reference to a property.

1. Whitehead, A.N. and Russel, B. (1910). Principia Mathematica. Cambridge: Cambridge University Press.
- - -
Hoyningen-Huene II 60
Equality/Form/Hoyningen-Huene: Equality and difference belong to the logical form and not to the content.
>Cf. >Identity.

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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.
Logic Texts
Me I Albert Menne Folgerichtig Denken Darmstadt 1988
HH II Hoyningen-Huene Formale Logik, Stuttgart 1998
Re III Stephen Read Philosophie der Logik Hamburg 1997
Sal IV Wesley C. Salmon Logic, Englewood Cliffs, New Jersey 1973 - German: Logik Stuttgart 1983
Sai V R.M.Sainsbury Paradoxes, Cambridge/New York/Melbourne 1995 - German: Paradoxien Stuttgart 2001
Me I
A. Menne
Folgerichtig Denken Darmstadt 1997


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Ed. Martin Schulz, access date 2024-04-29
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