|Semantic ascent, philosophy: semantic ascent is an expression by W.V.O. Quine (Quine, From a logical point of view, Harvard, 1953). The semantic ascent is no longer about objects, but about the use of expressions for these objects and of expressions for properties which we ascribe to these objects. In this way, the question as to which objects an ontology is fixed on is only indirectly addressed. See also mention, use, meaning, reference, semantic descent, ontology, non-existence, predication._____________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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Semantic ascent / Field: Not a set of axioms (not logically true), but weaker: with modal operator (diamond) "It is possible that" in front - then logically true that it is logically possible.
Semantic ascent: "not every axiom of this theory is true" solution for infinitely axiomatized theories._____________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.
Realism, Mathematics and Modality Oxford New York 1989
Truth and the Absence of Fact Oxford New York 2001
Science without numbers Princeton New Jersey 1980