**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
- Everything you know about history is false.
- History needs to be completely reformulated
- 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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