|Paradoxes: are contradictions within formally correct statements or sets of statements that lead to an existence assumption, which initially seemed plausible, to be withdrawn. Paradoxes are not errors, but challenges that may lead to a re-formulation of the prerequisites and assumptions, or to a change in the language, the subject domain, and the logical system. See also Russellian paradox, contradictions, range, consistency._____________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. |
Books on Amazon:
Truth/term/being /class/paradoxes/Russell/Goedel: these terms are self-contradictory. - Error: to assume that there is a class of objects for each propositional function, which satisfies it - or that an propositional function existed as a separate entity. - Solution/Russell: late: "No-Class-Theory" : only facon de parler - classes do not exist.
Paradox/senseless/bivalence/Principia Mathematica/ Russell: a class can not be the subject of its self-determining function. - False solution: the corresponding proposition cannot simply be wrong, it must be meaningless. - ((s) Otherwise we simply get the complements of the problematic sets.)_____________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.
B. Russell/A.N. Whitehead
Principia Mathematica Frankfurt 1986
Das ABC der Relativitätstheorie Frankfurt 1989
Probleme der Philosophie Frankfurt 1967
Die Philosophie des logischen Atomismus
Eigennamen, U. Wolf (Hg), Frankfurt 1993
Wahrheit und Falschheit
Wahrheitstheorien, G. Skirbekk (Hg), Frankfurt 1996