How things work
- ★★☆☆☆ Airlocks, transistors and engineering
- Social protocols: the Internet, Mail, Recommender, Search, Web search
- Misc algorithms: lift, control theory
- Genetics
- How the government works
Interesting math problems
- Why the Monty Hall problem is completely boring
- ★★★☆☆ Two-envelopes problem: beyond the Bayesian explanation
- ★★★★☆ Sleeping beauty, prisoner's dilemma and anthropic reasoning
- ★★★★★ Hacking Evidential Decision Theory
- ★★★☆☆ Pi and collisions (the 3blue1brown problem)
- ★★☆☆☆ A curious infinite sum arising from an elementary geometric argument
General mathematics
- ★★★☆☆ Multiplicative calculus: Probability of immorality for a transhuman being
- ★★★★☆ Filters and hyperreal numbers: [abhimanyu.io, github 1, github 2]
- ★☆☆☆☆ Fractional calculus: [arXiv 1, arXiv 2]
- ★☆☆☆☆ Generalised determinants: [arXiv]
- Fractals
- ★☆☆☆☆ Special polynomials
- Dynamics/chaos
Old non-academic blog
New non-academic blog is available at Copypasta.substack (the mind-killer).
- ★★★☆☆ Newton's laws in relativity
- ★★★☆☆ "Calculus-based physics"
- ★★★☆☆ The era of Einstein
- ★★★☆☆ Why are calculus and linear algebra taught early?
- ★★★☆☆ "In space, there's no up or down."
- Applied math and mathematical models (waves, walls, particles, noise, vector spaces)
- ★★★☆☆ What even are pure and applied math, anyway?
- ★★★☆☆ Positive vs normative social science
- ★★☆☆☆ Why do people conflate philosophy with psychology?
- ★★★☆☆ Ranking academic disciplines from science to pseudo-science
- ★★★☆☆ Age of Gen: a picture of a futuristic transhuman society
- ★★☆☆☆ A review of "Age of Em" by Robin Hanson
- ★☆☆☆☆ Basilisk, thy name is Simon
- ★★☆☆☆ Three domains of knowledge
- ★★★☆☆ Realistic aliens
- ★★☆☆☆ How to rebuild civilization after a zombie apocalypse
- Concept for a systematic OS
- Reinventing grammar
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