The Goedel's legacy: revisiting the Logic

2012/06/10 by Giuseppe Raguní, Giuseppe Raguni', Raguni', Giuseppe · 1 citation
Arts and Humanities · Computer Science · Mathematics · Psychology · #03A10 #03B15 #03B42 #03B70 #Advanced Algebra and Logic #FOS: Mathematics #Logic (math.LO) #Philosophy and Theoretical Science #Wittgensteinian philosophy and applications #math.LO #msc:03A10 #msc:03B15 #msc:03B42 #msc:03B70

paper · pdf · doi:10.48550/arxiv.1206.2023

12 pages, a Goedel's error is described. Just new format (Latex) now

openalex publication_date 2012/06/10 · arxiv created 2013/05/01 · arxiv updated 2013/05/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Some common fallacies about fundamental themes of Logic are exposed: the First and Second incompleteness Theorem interpretations, Chaitin's various superficialities and the usual classification of the axiomatic Theories in function of its language order.

Cited by

• Epistemological Consequences of the Incompleteness Theorems

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• Consequences of a Goedel's misjudgment
• A common Misconception about the Categorical Arithmetic
• From Incompleteness Towards Completeness
• Two presumptions in Goedel's interpretation of his own, formal, reasoning that are classically objectionable
• Yet another proof of Goedel's completeness theorem for first-order classical logic