December 1990
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113 Reads
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1,960 Citations
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... It asserts that any effectively calculable function is computable by a Turing machine (Turing, 1936). However, recent philosophical and logical investigations suggest boundaries to this assumption, especially regarding systems exhibiting intelligent behaviour and self-reflection (Lucas, 1961;Penrose, 1989). This paper offers a formalized challenge to the Church Thesis using Logical Stochastic Differential (LSD) modelling-an approach that blends logic, stochastic processes, and differential analysis to explore the paradoxes inherent in intelligent system computability. ...
- Citing Article
December 1990