TY - JOUR
N2 - According to Kurt Gödel, Bertrand Russell misinterpreted the incompleteness theorem, but did it in ʻa very interesting manner’. To understand what he meant we need to consider their attitudes to defining truth. Even more revealing is the discussion of two fundamental approaches to logic: one is universalistic, and assumed by both Russell and Gödel, and the other is model‑theoretical, Alfred Tarski’s style. It turns out that a misleading or erroneous interpretation can be interesting, as it reveals something fundamental. William Byers claims that truly great ideas in mathematics and about mathematics are in a way false, as they lead to errors, but at the same time they can help to make advances in math. Logicism provides a good example. In addition it may be mentioned that when Russell argued in its favor, he committed a logical fallacy.
L1 - http://www.czasopisma.pan.pl/Content/129811/2022-04-PFIL-15.pdf
L2 - http://www.czasopisma.pan.pl/Content/129811
PY - 2022
IS - No 4
EP - 236
DO - 10.24425/pfns.2022.143861
KW - defining truth
KW - K. Gödel
KW - great mathematical idea
KW - L. Henkin
KW - incompleteness
KW - interesting error
KW - logical fallacy
KW - model theory
KW - A. Robinson
KW - B. Russell
KW - semantics
KW - A. Tarski
KW - universality of logic
A1 - Krajewski, Stanisław
PB - Komitet Nauk Filozoficznych PAN
PB - Wydział Filozofii Uniwersytetu Warszawskiego
DA - 2023.12.21
T1 - Russell’s ‘very interesting misinterpretation’?
SP - 225
UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/129811
T2 - Przegląd Filozoficzny. Nowa Seria
ER -