A constructive proof of Tarski's undefinability theorem and Gödel's incompleteness theorems
The paper presents a fundamentally new constructive proof of Tarski's theorem on the undefinability of truth and Gödel's incompleteness theorems, based on the inexpressibility, by purely formal means, of the existential content of a theory (the "ostension deficit"), without which formalism loses its meaning. It is shown why the classical Gödel theorem arises from the same reason.
Authors
- Alexey Torgashin
Institutions
- Systems Analytics (United States) (US)
- EP Analytics (United States) (US)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-05-18
- DOI
- https://doi.org/10.5281/zenodo.20275008
- Primary Topic
- Philosophy and Theoretical Science
- Type
- article
- Field-Weighted Citation Impact
- 0.00