Biologically implemented machine learning system thinks the universe is fully differentiable:https://twitter.com/davidarredondo/status/1143294986890252288 …
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Replying to @NHonigdachs @davidarredondo
Everything is fundamentally discrete, but the patterns we care about are usually made up of too many parts to count, and we describe them by continuous low dimensional geometries.
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Replying to @Plinz @NHonigdachs
A description of reality is not reality. It is a description.
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Replying to @davidarredondo @NHonigdachs
Yes, reality cannot be experienced. Everything you experience is a description, so it is described somehow, which implies that there is a language in which they take place, which in turn means that you have to go back to constructive math, which is fundamentally discrete...
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Replying to @Plinz @NHonigdachs
The idea that "everything experienced is a description" is a common misunderstanding of the human capacity to set aside discursive or mathematical thought and is an *a priori* limitation. (E.g. experience of *clear light* is not a description).
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Language is limited and limiting. So are mathematical models however beautiful, essential, and closely related to nature they may be. A description is not * the thing* itself. (There is no *language or mathematics of water* that quenches thirst).
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Replying to @davidarredondo @NHonigdachs
There are no things unless your mind encodes patterns as such…
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I feel compelled by the same line of argument as Aristotle: if there is a ground truth at all, i.e. there is a state progression in the universe, something must be progressing. Computation is basically the nature of progressing things, and it seems it cannot be continuous.
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