Turing's responses to two objections

Minds and Machines 18 (2):147-167 (2008)
Abstract
In this paper I argue that Turing’s responses to the mathematical objection are straightforward, despite recent claims to the contrary. I then go on to show that by understanding the importance of learning machines for Turing as related not to the mathematical objection, but to Lady Lovelace’s objection, we can better understand Turing’s response to Lady Lovelace’s objection. Finally, I argue that by understanding Turing’s responses to these objections more clearly, we discover a hitherto unrecognized, substantive thesis in his philosophical thinking about the nature of mind.
Keywords Alan Turing   Artificial intelligence   Creativity   Halting problem   Lady Lovelace's objection   Mathematical objection   Turing Test
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Darren Abramson (2011). Descartes' Influence on Turing. Studies in History and Philosophy of Science Part A 42 (4):544-551.
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