Signs of Consciousness in Vegetative Patients?

I was interviewed for a column appearing in today’s Wall Street Journal on an intriguing case of possible conscious states in a vegetative patient (“There May Be More To a Vegetative State Than Science Thought” by Sharon Begley). In the case in question, scientists recorded brain activity in a vegetative …

Real Numbers and Hypercomputation

A topic that has received increasing attention in the last few years is hypercomputation (see also the Wikipedia article), a term coined by Jack Copeland for the computation of functions that are not computable by Turing machines.  Real numbers are often invoked in recipes for hypercomputation.  I have tried to explain my skepticism …

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