|Understanding: the ability to give reasons for a distinction or to justify a selection of options. See also actions, meaning, knowledge.|
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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.
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