Jenann Ismael - Laplace meets Godel: How Self reference Foils Prediction
This is really excellent:
Here is something I wrote in 2012 that gives an explicit example with some formulae:
I feel really left-out because nobody I know sent me this XKCD drawing. You can actually compute that as accurately as you like, can't you?:
I guess I don't spend enough time on social media, ...
So this has real practical consequences and tells us something about how we should think about these kinds of systems. We need to be able to design convergent processes which have stable fixpoints, like the XKCD drawing.See Gabriele Carcassi on Physical Convergence and Richard's paradox. And on how we construct and test machines, see Julia Galef on Aumann's Agreement Theorem and Robert J. Aumann's very short 1976 paper Agreeing to Disagree.
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