Common Gnoseological Meaning of Godel and Caratheodory Theorems

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Common Gnoseological Meaning of Godel and Caratheodory Theorems

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Common Gnoseological Meaning of Godel and Caratheodory Theorems

Popis výsledku anglicky

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.

Druh

C - Kapitola v odborné knize

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název knihy nebo sborníku

Ontological Analyses in Science, Technology and Informatics

ISBN

978-1-78985-547-0

Počet stran výsledku

20

Strana od-do

1-20

Počet stran knihy

74

Název nakladatele

IntechOpen

Místo vydání

London

Kód UT WoS kapitoly

—