...in which the author Matthew Watkins embarks on freeform, generalist conversational monologues with friends and strangers
[If you're new here, it's probably best to start from the first episode in a series — see the links in the right-sidebar.]
Tuesday, 5 June 2018
Episode 117
The second episode in a series discussing free will with Mark Taylor. Mark suggests that ideas from physics like "quantum indeterminism" aren't the way to "save" free will. I pick up on the word "save" and how (just about) everyone wants there to be free will, which could lead to biases and wishful thinking in any arguments made in its favour. Mark then puts forward the idea of automata/robots of ever greater sensitivity to their environments and refinement of responsiveness, how eventually you end up with something indistinguishable from free will. This then leads me to raise the questions of: (1) predictability (which is here complicated by the fact that feedback systems involving an automaton in an evolving environment could render the automaton's behaviour effectively unpredictable); and (2) consciousness, in that we wouldn't generally attribute free will to a zombie-like entity with no self-awareness. Mark then brings up Kant's ideas about freedom depending on reason, and then the difference between reasons and causes for behaviour.
"The Secrets of Creation trilogy is one of the most remarkable works of maths popularisation that I have read. Matthew Watkins has a gift for exposition, a gushing passion for his subject and a completely fresh way of approaching basic — and not so basic — mathematical ideas. He has written a brilliantly original work that is both whimsical and cosmically profound. I would recommend it to anyone."
Alex Bellos, author of Alex's Adventures in Numberland
"It is exactly the kind of thing that I would have enjoyed tremendously and found extremely illuminating in my younger days — in fact, I think this is still the case."
Sir Roger Penrose, Rouse Ball Professor of Mathematics, Oxford University
"The author is at pains to make his exposition readily accessible to any intelligent reader...This is an unusual and fascinating book, which even experts on prime number theory are likely to find of interest."
Brian Josephson, Nobel Laureate in Physics, Times Higher Education
"This is a fantastic book. A fabulous book. A splendiferous book! I, a PhD student who has studied math my whole life, could not put it down. Not only was I not bored, I learned new things! A book like this, accessible to young children and engaging to adults, is a rare and wonderful accomplishment indeed!"
Brent Yorgey, The Math Less Traveled blog
(two-dimensional rendering of the three-dimensional "shadow" of a rotating hypercube — cool, eh?)
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