Common Gnoseological Meaning of Godel and Caratheodory Theorems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F20%3A43921559" target="_blank" >RIV/60461373:22340/20:43921559 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.5772/intechopen.77594" target="_blank" >http://dx.doi.org/10.5772/intechopen.77594</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.5772/intechopen.77594" target="_blank" >10.5772/intechopen.77594</a>
Alternative languages
Result language
angličtina
Original language name
Common Gnoseological Meaning of Godel and Caratheodory Theorems
Original language description
Abstract We will demonstrate that the I. and the II. Caratheodory theorems and their common formulation as the II. Law of Thermodynamics are physically analogous with the real sense of the Gödel’s wording of his I. and II. incompleteness theorems. By using physical terms of the adiabatic changes the Caratheodory theorems express the properties of the Peano Arithmetic inferential process (and even properties of any deductive and recursively axiomatic inference generally); as such, they set the physical and then logical limits of any real inference (of the sound, not paradoxical thinking), which can run only on a physical/thermodynamic basis having been compared with, or translated into the formulations of the Gödel’s proof, they represent the first historical and clear statement of gnoseological limitations of the deductive and recursively axiomatic inference and sound thinking generally. We show that semantically understood and with the language of logic and meta-arithmetics, the full meaning of the Gödel proof expresses the universal validity of theII.law of thermodynamics and that the Peano arithmetics is not self-referential and is consistent.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Ontological Analyses in Science, Technology and Informatics
ISBN
978-1-78985-547-0
Number of pages of the result
20
Pages from-to
1-20
Number of pages of the book
74
Publisher name
IntechOpen
Place of publication
London
UT code for WoS chapter
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