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Rising Entropy
Personal blog · risingentropy.commathphilosophy
Rising Entropy is a personal blog at risingentropy.com about math and philosophy. Since 2021, 8 different Hacker News readers have linked it 10 times. The last post was in 2023, but the archive is still widely read.
Too few sampled comments (6) to say how often HN recommends it.?
Why HN links it
HN readers link this blog for posts on set theory and the continuum hypothesis, primality and incompleteness, and lambda calculus diagrams. One commenter calls it an excellent blog on these topics.
Summarised by Claude from a sample of 6 HN comments that link here. Each comment is marked recommending, critical or neutral (citing without judging); how this works.
Blog about all things physics, philosophy, and more
Most-linked posts?
- /the-continuum-hypothesis-is-false/2 people · 2 mentions · first linked 2021-07-16
What Hacker News says?
This appears to discuss it a bit more. Not certain if it's more helpful than the comment (still going through it), but it does cover it more in detail. https://risingentropy.com/the-arithmetic-hierarchy-and-compu...
Comment linking /the-arithmetic-hierarchy-and-computability/
on “Apollo 11 vs. USB-C Chargers (2020)”Submitted How to draw lambda diagrams (2020) as a story · 34 points
HN discussion(although in practice it's suspected to be either aleph-1, which is what the Continuum Hypothesis states, or aleph-2) There are some arguments that it's "really" much larger, as in greater than aleph-n for any finite n. See https://risingentropy.com/the-continuum-hypothesis-is-false/ (incidentally an excellent blog if you're interested in these sorts of things).
Comment linking /the-continuum-hypothesis-is-false/
on “How many real numbers exist? New proof moves closer to an answer”Submitted Even Numbers Are Tautologies as a story · 4 points
HN discussionMy favorite version of this argument is from Catch-22. It starts with a discussion about the miseries people suffer and if they have any utility at all. Is pain a useful warning of problems or could that information be gotten across in a better way? It ends with the two characters agreeing that neither believes in God, with one not believing in a good and kind God and the other not believing in an evil malevolent Go…
Comment linking /catch-22/
on “Why birds do not fall while sleeping”Submitted Are the Busy Beaver numbers independent of mathematics? as a story · 2 points
HN discussionThere's no shortage of blog posts on the topic, but here is one that is fairly rigorous but doesn't assume too much background knowledge: https://risingentropy.com/a-result-on-the-incompleteness-of-...
Comment linking /a-result-on-the-incompleteness-of-mathematics/
on “Is 1 Prime, and Does It Matter?”Submitted Maximum Entropy and Bayes (2018) as a story · 1 points
HN discussionI went into this hoping for a mathematical thought experiment, but rather this is merely a historical thought experiment in the sense of "Wouldn't it be nice of mathematicians accepted CH early on?". It seems the big selling point of accepting CH is that mathematicians would be less hesitant to use nonstandard analysis. For an actual thought experiment that rejects the continuum hypothesis, I rather enjoy the explan…
Comment linking /the-continuum-hypothesis-is-false/
on “How the continuum hypothesis could have been a fundamental axiom”True, thanks for clarification that would be this one - https://risingentropy.com/how-to-draw-lambda-diagrams/ as I just started learning lambda calculus and this one helped Also this is where I got the interest from - https://www.youtube.com/watch?v=RcVA8Nj6HEo
Comment linking /how-to-draw-lambda-diagrams/
on “How to draw lambda diagrams (2020)”
