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On a Gödel's misjudgment

eBook (PDF), 19 Pages
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The fundamental aim of the paper is to correct an harmful way to interpret a Gödel's erroneous remark at the Congress of Königsberg in 1930. Despite the Gödel's fault is rather venial, its misreading has produced and continues to produce dangerous fruits, as to apply the incompleteness Theorems to the full second-order Arithmetic and to deduce the semantic incompleteness of its language by these same Theorems. The first three paragraphs are introductory and serve to define the languages inherently semantic and its properties, to discuss the consequences of the expression order used in a language and some question about the semantic completeness: in particular is highlighted the fact that a non-formal theory may be semantically complete despite using a language semantically incomplete. Finally, an alternative interpretation of the Gödel's unfortunate comment is proposed.
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Product Details

Edition
first
Published
May 28, 2015
Language
English
Pages
19
File Format
PDF
File Size
282.58 KB

Formats for this Ebook

PDF
Required Software Any PDF Reader, Apple Preview
Supported Devices Windows PC/PocketPC, Mac OS, Linux OS, Apple iPhone/iPod Touch... (See More)
# of Devices Unlimited
Flowing Text / Pages Pages
Printable? Yes
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