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www.greaterwrong.com | ||
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unstableontology.com
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| | | | | (note: one may find the embedded LaTeX more readable on LessWrong) The Löwenheim-Skolem theorem implies, among other things, that any first-order theory whose symbols are countable, and which has an infinite model, has a countably infinite model. This means that, in attempting to refer to uncountably infinite structures (such as in set theory), one "may... | |
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scottaaronson.blog
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| | | | | My good friend Sean Carroll took a lot of flak recently for answering this year's Edge question, "What scientific idea is ready for retirement?," with "Falsifiability", and for using string theory and the multiverse as examples of why science needs to break out of its narrow Popperian cage. For more, seethis blog post of Sean's,... | |
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jdh.hamkins.org
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| | | | | I'd like to share a simple proof I've discovered recently of a surprising fact: there is a universal algorithm, capable of computing any given function! Wait, what? What on earth do I ... | |
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qualiacomputing.com
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| | | [AI summary] The text discusses a framework for understanding subjective time as a causal network of local binding connections. It explores how different states of consciousness, such as those induced by psychedelics, can alter this network, leading to various experiences of time, including time loops, moments of eternity, and timelessness. The framework also connects these experiences to emotional valence and the structure of consciousness, suggesting that symmetry and regularity in the network contribute to positive emotional states. The text concludes by emphasizing the potential of this approach as a starting point for further research into time perception and consciousness. | ||