Journal
Communication & Cognition 2025, Vol. 58, issue 1-2
ISSN
0378-0880
e-ISSN
2953-1454
Title
AI LOGIC VS. CLASSICAL LOGIC: DISCOVERY VS. FORMALIZATION
Author J.-M. Kuczynski
Pages
pp. 23 - 36
Keywords
AI-Based Logic, Classical logic, empirical reasoning, evolution of Logical Systems. discovery, Gödel, inference, justification, mathematical reasoning, meta-reasoning pattern, psychologism, reasoning tool, Reichenbach, Syllogism, System L.
Abstract
This paper argues that classical logic fundamentally fails as a tool for reasoning because it requires more intelligence to recognize that an inference instantiates a logical law than to recognize the validity of the inference directly. Drawing on evidence from artificial intelligence systems, particularly large language models, we propose an alternative "System L" that better captures how both human and artificial minds actually reason. This system emphasizes pattern explicit recognition, meta-reasoning templates, and defeasible inference rather than rule application, suggesting reconceptualization of logic's nature and purpose.
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