|Non-existence, philosophy: non-existence is not simply expressible for the classical predicate logic which attributes properties through quantification in the form of (Ex)(Fx) "There is at least one x, with the property F" (in short "There is at least one F"), since existence is not a property. The form "There is at least one x that does not exist" is contradictory. See also existence predicate, "There is", existence, unicorn example, pegasus example, round square, proof of God's existence._____________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. |
Nonexistence/Unicorn-example/truth-value gap/Frege: E.g. unicorn: sentences about non-existent objects are without truth value. - Predicates cannot be switched on or be denied. - The thought is the same whether the name refers (>"meaning"/Frege = reference) or not. For the terminology: see Fregean Sense.
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Name/non-existence/Frege: that the name has a reference is not a condition that it belongs to the language - but vice versa.
Nonexistence/meaning/FregeVsMeinong/FregeVsRussell: there are quite a lot contradictory terms. - Only no contradictory objects. - The logic may determine only the limitation of terms. - That is, for each object, whether it falls within the definition, or not - a contradictory term is used to prove that there is no corresponding object.
Nonexistence/Frege: proper names: a name that refers to nothing, is logically meaningless. - But not a concept under which nothing falls - for a name to be entitled it is necessary that the appropriate term is sharp.
Therefore the term should precede the scope._____________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. The note [Author1]Vs[Author2] or [Author]Vs[term] is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition.
Die Grundlagen der Arithmetik Stuttgart 1987
Funktion, Begriff, Bedeutung Göttingen 1994
Logische Untersuchungen Göttingen 1993