Philosophy Dictionary of ArgumentsHome
| |||
|
| |||
| Existence, philosophy, logic: the fact that there is something to which properties can be attributed. That does not mean that something has to be given immediately or can be perceived by the senses. See also ontology, properties, predicates, existence statements, realism, quantification, ascription._____________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 |
|---|---|---|---|
|
D. Hilbert on Existence - Dictionary of Arguments
Berka I 294 Existence/consistency/concept/Hilbert: if one assigns features to a concept which contradicts itself, I say: the concept does not exist mathematically. >Consistency, >Contradictions. FregeVsHilbert/(s): Frege would say the concept can exist, but there is no object for it. >Concept/Frege, >Object/Frege, >Description levels, >Levels/order. Existence/number/Hilbert: the existence of a concept is proved if it can be shown that there are never contradictions in the application of a finite number of logical conclusions. >Proofs, >Provability, >Finiteness, >Calculability. This would prove the existence of a number or a function. >Functions, >Numbers. Berka I 294/295 Real numbers/existence/axioms/Hilbert: here, the consistency is a proof for the axioms and it is also the proof for the existence of the continuum(1). >Real numbers. 1. D. Hilbert: Mathematische Probleme, in: Ders. Gesammelte Abhandlungen (1935), Vol. III, pp. 290-329 (gekürzter Nachdruck v. p. 299-301)._____________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. |
Berka I Karel Berka Lothar Kreiser Logik Texte Berlin 1983 |
||
Ed. Martin Schulz, access date 2024-04-16