Goedel and Caratheodory Theorems

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F17%3A43913129" target="_blank" >RIV/60461373:22340/17:43913129 - isvavai.cz</a>

Result on the web

<a href="https://www.researchgate.net/publication/319618405_Goedel_and_Caratheodory_Theorems" target="_blank" >https://www.researchgate.net/publication/319618405_Goedel_and_Caratheodory_Theorems</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Goedel and Caratheodory Theorems

Original language description

We show that the Caratheodory I. and II. theorems and his formulation the II. Law of Thermodynamics are physically analogous with the real sense of the Goedel?s wording of his I. and II. incompleteness theorems. By using physical terms the Caratheodory theorems express the properties of the Peano Aritmetic inferential process (and even properties of any deductive and recursively axiomatic inference at all); as such they set physical and then the logical limits of any real inference (of the sound, not paradoxical thinking) which can run only on a physical/thermodynamic basis. Then the real/physical sense of the Goedel?s wording of his incompleteness theorems, just having been expressed in the form of the Caratheodory theorems and their common formulation as the II. Law of Thermodynamics, is in the very base of the physics. Then it is obvious that the Caratheodory&apos;s formulations about the adiabatic changes, having been compared with, or translated into, the formulations of the Goedel&apos;s proof, represent the first historical and clear statement of gnoseological limitations of the deductive and recursively axiomatic inference and sound thinking at all. And that the very real sense of the Goedel incompleteness theorems is the metaarithmetic-logical analog of the II. Law of Thermodynamics.

Czech name

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Czech description

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Type

J_ost - Miscellaneous article in a specialist periodical

CEP classification

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OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

IIAS-Transactions on System Research and Cybernetics

ISSN

1609-8625

e-ISSN

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Volume of the periodical

15

Issue of the periodical within the volume

2

Country of publishing house

CA - CANADA

Number of pages

11

Pages from-to

1-10

UT code for WoS article

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EID of the result in the Scopus database

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