Language and Godels Theorem: A Revised Edition » książka
Language and Godels Theorem: A Revised Edition
ISBN-13: 9788792329110 / Angielski / Miękka / 2013 / 110 str.
Language and Godels Theorem is a "de-construction" of Kurt Godel's Incompleteness Theorem's paradox sentences used to prove that no formal systems of logic or mathematics can exist. The semantic valuation of the 'meaning' behind the sentences used for the paradox is challenged and revised using other words that change the very nature of the sentences. These 'semantic' changes result in new meanings for the sentences and forms new interpretations of examining Godel's Incompleteness Theorem as it relates to David Hilbert's unifying plan for a Formalized mathematics.
The publication includes an unpublished paper on the motivation behind writing this book in the appendix as well as a copy of the author's original mathematics dissertation from which this monograph is derived. It includes a chapter on machine intelligence and is a culmination of Tice's thoughts on language, machines, and artificial intelligence as a whole. Technical papers on the subject are included in the appendix.
The monograph is a de-construction of Kurt Godels Incompleteness Theorems paradox sentences used to prove that no formal systems of logic or mathematics can exist. The semantic valuation of the meaning behind the sentences used for the paradox is challenged and revised using other words that change the very nature of the sentences used in the paradox. These semantic changes result in new meanings for the sentences used for the paradoxes and forms new interpretations of examining Godels Incompleteness Theorem as it related to David Hilberts unifying plan for a Formalized mathematics. The monograph includes an unpublished paper on the reason why behind the writing of this monograph in the Appendix section as well as a copy of my original mathematics dissertation from which this monograph is derived that is also located in the Appendix section of this monograph. The monograph includes a chapter on machine intelligence and is a culmination of my thoughts on language, machines and artificial intelligence as a whole. Technical papers on the subject are included in the Appendix section of this monograph. Content: Abstract, Preface, Introduction, The Incompleteness Theorem, Hilberts Axiomatic System for Mathematics, Of Two Words, Language and Godels Theorem, Can Machines Think?, Conclusions, Summary, References, Notes, Appendix and Index.
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