English

Definitively Identifying an Inherent Limitation to Actual Cognition

Other Computer Science 2019-06-03 v2 Artificial Intelligence

Abstract

A century ago, discoveries of a serious kind of logical error made separately by several leading mathematicians led to acceptance of a sharply enhanced standard for rigor within what ultimately became the foundation for Computer Science. By 1931, Godel had obtained a definitive and remarkable result: an inherent limitation to that foundation. The resulting limitation is not applicable to actual human cognition, to even the smallest extent, unless both of these extremely brittle assumptions hold: humans are infallible reasoners and reason solely via formal inference rules. Both assumptions are contradicted by empirical data from well-known Cognitive Science experiments. This article investigates how a novel multi-part methodology recasts computability theory within Computer Science to obtain a definitive limitation whose application to human cognition avoids assumptions contradicting empirical data. The limitation applies to individual humans, to finite sets of humans, and more generally to any real-world entity.

Keywords

Cite

@article{arxiv.1905.13010,
  title  = {Definitively Identifying an Inherent Limitation to Actual Cognition},
  author = {Arthur Charlesworth},
  journal= {arXiv preprint arXiv:1905.13010},
  year   = {2019}
}

Comments

45 pages, 5 figures; changed author's email address