|Contradictions, philosophy: A. Contradiction in a broad sense is conceived in philosophy, for example, in Hegel or Marx, as a fruitful contrast, which gives rise to a further development. B. In bivalent logic, a contradictory statement is a statement of the form A and non-A. Statements of this form cannot be true. See also consistency, theorem of contradiction, multi-valued logic._____________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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Contradiction/Stalnaker: it is essential that logical falsehoods are absolutely impossible. - This is the condition that they can not be believed.
Problem/Field: Then Cantor could not have established his (later proven to be contradictory) set theory.
Cantor had not "split" belief states that had to be linked. - Rather, they all together explained his actions._____________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