|Understanding: the ability to give reasons for a distinction or to justify a selection of options.
For the understanding of signs and words plays a role, whether one can connect an object with the word or sign, as well as whether one can replace the sign or word with another sign or word. In order to understand full sentences, the context must be grasped as well. A point of contention is whether knowing the truth conditions gives the sentence its meaning. In other words Whether there is the knowledge about what should be if the sentence were true. If that is correct, there is no need to know whether the sentence is true (cf. M. Dummett, Ursprünge der analytischen Philosophie Frankfurt 1992, p. 20). See also substitution, truth conditions, knowledge._____________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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Understanding/definition/Field / (s): We also understand undefined terms or operators. - E.g. negation operator - E.g. existential quantifier - Field: these are not definable.
Conjunction/understanding/paradoxes / Field: conjunction of sentences: only makes sense if the sentences are understood before - i.e. that the conjunction itself (and constructed from their records) are not allowed as a conjunct. - . > Semantic paradoxes - ((s) > "Everything he said is true".). - Solution: hierarchy of predicates._____________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