scholarly journals Godel Theorem is Invalid

2017 ◽  
Author(s):  
Ulisses Ferreira J
Keyword(s):  
Gödel Theorem

Bays, Steiner, and Wittgenstein’s “Notorious” Paragraph about the Gödel Theorem

2006 ◽  
Vol 103 (2) ◽  
pp. 101-110 ◽  
Author(s):  
Juliet Floyd ◽  
Hilary Putnam ◽  
Keyword(s):  
Gödel Theorem

A Note on Wittgenstein’s “Notorious Paragraph” About the Gödel Theorem

2000 ◽  
Vol 97 (11) ◽  
pp. 624-632 ◽  
Author(s):  
Juliet Floyd ◽  
Hilary Putnam ◽  
Keyword(s):  
Gödel Theorem

A Note on Wittgenstein's "Notorious Paragraph" about the Godel Theorem

2000 ◽  
Vol 97 (11) ◽  
pp. 624 ◽  
Author(s):  
Juliet Floyd ◽  
Hilary Putnam
Keyword(s):  
Gödel Theorem

A Gödel Theorem on Network Complexity Lower Bounds

1986 ◽  
Vol 32 (19-24) ◽  
pp. 377-384 ◽  
Author(s):  
C. P. Schnorr
Keyword(s):  
Lower Bounds ◽  
Complexity Lower Bounds ◽  
Gödel Theorem

scholarly journals Conceptions of Intensionality of Mathematical Discourse: The Stages of Self-reference

2019 ◽  
Vol 17 (1) ◽  
pp. 17-29
Author(s):  
V. V. Tselishchev ◽  
A. V. Khlebalin
Keyword(s):  
Conceptual Structure ◽  
Mathematical Discourse ◽  
Three Stages ◽  
Gödel Theorem ◽  
Self Reference

The article discusses the reasons for the emergence of intensional structures in mathematical discourse with the example of the proof of the Second Gödel Theorem on the incompleteness of arithmetic. It is shown that one of the reasons for intensionality is the conceptual structure, including the transition from strictly mathematical formulations to their interpretation. Three stages of intensionality are analyzed – coding, constructing a predicate of proof, and constructing a self-reference sentence. It is shown that the choice between the alternatives at each stage is the source of intensionality.

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