On the computational power of neural nets
Journal of Computer and System Sciences
Neural networks and analog computation: beyond the Turing limit
Neural networks and analog computation: beyond the Turing limit
Minds and Machines
Comments on `Two Undecidable Problems of Analysis'
Minds and Machines
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Conceptual difficulties involved in attempts to build analog super-Turing sources are examined in the light of epistemic problems of physical measurement. Basic concepts of computability theory are appealed to in order to set up a procedural comparison between analog and digital computations which is not affected by similar conceptual difficulties: Is the interpretation of program code within the capacities of some analog computer? The epistemological significance of this “virtuality” problem is emphasized by reference to explanation requests arising in the cognitive neurosciences.