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Dagon comments on Open thread, Dec. 21 - Dec. 27, 2015 - Less Wrong Discussion
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That sum you speak of is encoded in a massive biological calculator called a brain. Free will is the introspective module of that computer as it examines it's own calculations, and that data affects the state of the network to be part of future calculations.
Is that actually the 'strange loop' that Hofstadter writes about?
Hofstadter (as I remember - it's been a long time) took it a step further, granting consciousness to our models of others, and to the models of us that we model in others, etc....