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The Transcendental Role of the Gödelian Non-decidable Propositions in the Diachronic Inclusion of Axiomatic Theories and Metatheories
p. 59-67
Abstract
The theorems established by the logicians show that the truth value of a proposition, constructed in a logical system S, cannot be enunciated in the system S itself, but in metasystem S', which refers to the proposions of the system S therefore it is not apt be confused with S'.
In the paper, according to Kant's transcendental methodology, where it is asserted that any rational knowledge is either a piece of knowledge from concepts, or a piece of knowledge from the construction of concepts, the transcendental role of the non-decidable Gödelian propositions is considered in the diachronic inclusion of the axiomatic theories and metatheories.
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References
Bibliographical reference
Ion I. Miriță, Corina Edelhauser and Gabriela Dumbrava, « The Transcendental Role of the Gödelian Non-decidable Propositions in the Diachronic Inclusion of Axiomatic Theories and Metatheories », CASYS, 11 | 2002, 59-67.
Electronic reference
Ion I. Miriță, Corina Edelhauser and Gabriela Dumbrava, « The Transcendental Role of the Gödelian Non-decidable Propositions in the Diachronic Inclusion of Axiomatic Theories and Metatheories », CASYS [Online], 11 | 2002, Online since 09 July 2024, connection on 27 December 2024. URL : http://popups.uliege.be/3041-539x/index.php?id=1233
Authors
Ion I. Miriță
University of Petrosani, Str. Universitatii nr.20 Petrosani, Romania
Corina Edelhauser
University of Petrosani, Str. Universitatii nr.20 Petrosani, Romania
Gabriela Dumbrava
University of Petrosani, Str. Universitatii nr.20 Petrosani, Romania