The Confession Argument Against P = NP
Year: 2025
Type: article
Abstract: Title: The Confession Formula: A Philosophical Argument Against P = NP Description: This paper introduces a conceptual framework called the Confession Formula—a metaphorical and mathematical argument suggesting that P ≠ NP unless problems can reveal their own solutions without computational interrogation. Drawing on analogies from logic, computation, and symbolic philosophy, the author argues that the key difference between P and NP lies not in the difficulty of finding answers, but in the nature of how answers are revealed. The paper proposes that without a formula that causes a number to "confess" all valid internal combinations, NP problems will always remain computationally intractable. The work aims to open new philosophical and structural perspectives on the P vs NP question, blending intuitive reasoning with foundational inquiry.
Author: Z, Aspet
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6949581971
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