Uncomputable

Kelly and Schulte [1995] show that consistency prevents even agents with infinitely uncomputable cognitive powers from reliably assessing certain hypotheses. ❋ Schulte, Oliver (2008)

One can only safely say that Turing's interest at this time in uncomputable operations appears in the general setting of studying the mental ❋ Hodges, Andrew (2007)

As will become clear from the ensuing discussion, the uncomputable ˜intuition™ of 1938 disappeared from Turing's thought, and was replaced by new ideas all lying within the realm of the computable. ❋ Hodges, Andrew (2007)

Roger Penrose has had to speculate on an uncomputable theory of quantum gravity just to keep the brain special, but he is almost alone in his position. ❋ JoAnne (2007)

(Of uncomputable functions there is, a fortiori, no mention.) ❋ Hodges, Andrew (2007)

Certainly it would be very difficult, like simulating the weather, but how is it possible that a neuron will do something that is uncomputable? ❋ JoAnne (2007)

Turing's oracle can be seen simply as a mathematical tool, useful for exploring the mathematics of the uncomputable. ❋ Hodges, Andrew (2007)

He made no suggestion that randomness implied something uncomputable, and indeed gave no definition of the term ❋ Hodges, Andrew (2007)

Turing turned to the exploration of the uncomputable for his Princeton Ph.D. thesis (1938), which then appeared as Systems of Logic based on Ordinals (Turing 1939). ❋ Hodges, Andrew (2007)

Since there are only countably many turing machines, there are only countably many such numbers and whence “most” real numbers are uncomputable. ❋ Unknown (2006)

Here we give two examples of uncomputable functions. ❋ Barker-Plummer, David (2004)

So paradoxically, testing the equality of two computable numbers is itself uncomputable. ❋ Sigfpe (2010)

Can you compute the uncomputable or at least predict the weather? ❋ Unknown (2009)

Whatever the greatness of Penrose's discovery, he threw it all away when he started advocating the quantum gravity theory of uncomputable physics as the basis for creativity. ❋ Unknown (2008)

Yo [mike] just [ran into] [a wall] that’s so uncomputational ❋ Sammmmyhammmmy (2022)