Set Theory and Logic


A Theoretical Critique of Theory

Authors: Alex Patterson

This paper uses its own peculiar lettering system for each paragraph. This paper proposes an overall solution to Godel’s incompleteness theorem and the Gödel sentence. Both are handled as one, by using Gödel numbers as the exemplary objects of incompleteness. New terms and tools are introduced for quantification that creates a more synthetic (logical, reasonable, coherent) intervention and inter-weaving into these now classical problems of the assumptions in the Gödel material and literature. Asymptotes are used within vertical and horizontal graphs to justify a future that need not be seen as a future in the sense of grammatical future-tense, but as a potential part such systems themselves that we deal with respect to incompleteness. The thesis is that we can approach incompleteness by using theoretical reasoning and available tools that are allowed in theoretical reasoning to critique the very theory of incompleteness itself. That is the essential Abstract Thesis. It will be seen that a real attempt is attempted.

Comments: 12 Pages. Special thanks to Michael J. Burns

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Submission history

[v1] 2015-08-20 09:19:58

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