Philosophy Dictionary of ArgumentsHome | |||
| |||
Equations: An equation in mathematics or physics is a statement that two expressions are equal. It is written using the equals sign (=). For example, 2+3=5 is an equation in mathematics, and F=ma is an equation in physics. Equations also describe the laws of nature. The reason is that causes and effects do not occur in equations. See also Causes, Effects, Natural 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. | |||
Author | Concept | Summary/Quotes | Sources |
---|---|---|---|
G. Frege on Equations - Dictionary of Arguments
II 29 Equation/language/assertion/Frege: the linguistic form of the equations is a declarative sentence. It contains the sense of a thought, e.g. 4 is the meaning of the expression 2 + 2, London is the meaning of the expression England’s capital. >Assertion, >Sentence, >Function, >Predication. II 68 Equation/Frege: an equation is reversible ("is" is taken here as a mathematical equal sign). On the other hand: predication is irreversible, e.g. the Venus is nothing but the morning star. Falling under a concept: is not reversible -(> copula), >Symmetry, >Identity, >Equal sign._____________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 |