The Problematic Nature of Gödel’s Disjunctions and Lucas-Penrose’s Theses

• Authors: Arnon Avron
• Languages of publication: EN

Abstracts

EN

We show that the name “Lucas-Penrose thesis” encompasses several different theses. All these theses refer to extremely vague concepts, and so are either practically meaningless, or obviously false. The arguments for the various theses, in turn, are based on confusions with regard to the meaning(s) of these vague notions, and on unjustified hidden assumptions concerning them. All these observations are true also for all interesting versions of the much weaker (and by far more widely accepted) thesis known as “Gö- del disjunction”. Our main conclusions are that pure mathematical theorems cannot decide alone any question which is not purely mathematical, and that an argument that cannot be fully formalized cannot be taken as a mathematical proof.

Keywords

EN

Gödel disjunction; Lucas-Penrose argument; mechanism; mind; computationalism

• Publisher: Polskie Towarzystwo Semiotyczne
• Journal: Studia Semiotyczne
• Year: 2020
• Volume: 34
• Issue: 1

Dates

published

2020-11-14

Contributors

author

Arnon Avron