# Understanding of World - Book Idea ### Title Ideas * “On Knowledge” * “What does it mean to know” * “The purpose of Science” * **“Understanding the world”** * “Science, Mathematics, and Knowledge” * “Philosophy for the 21st century” * “How to not be wrong” Would want to include deutsch, taleb, hoftstader, hume, popper, Peterson, etc, ideas… ### Sections * Philosophy of knowledge * How does science work (deduction vs induction, explanations, tools-senses, mathematics, devices such as microscope, etc) -> deutsch heavy * Inner details of science (skeptical empiricism, ruling out ideas - Error correction, black vs white swan), science as a process * Asymmetry under opacity * Evolution and the idea that “it works if it conforms with the world” * Mathematics, abstraction, fitting to the world (idea of platos forms, the unreasonable effectiveness of mathematics, assumptions, axioms, etc) * Ways of viewing the same situation (different mathematical perspectives) * High dimensionality (volume of an nsphere in higher dimensions). Interesting in it's own right, points to how intuition can be "wrong" or we just aren't thinking about things correctly (i.e. we have been lead astray...) * Why can statistics be wrong? (how does it relate to the purity of mathematics, i.e. measure theory, and why when applied to the real world do we run into all sorts of issues, how do things change in high dimensions?) (visual examples) * Simpson’s paradox * Row sets corresponding to majority (376, how to not be wrong) * Causality (pearl) * Analogy, isomorphism (hofstader) * Psychological biases (fooling yourself -> Khaneman, Taleb in fooled by randomness, Black swan, survivorship bias, etc) ### Further Ideas * [Understanding the World](https://docs.google.com/document/d/1cGITVvu2aNriKZEQpke23sk0wa0TBOrtN3SUhkDDlds/edit) * [Ideas](https://docs.google.com/document/d/1ZRS5dVprumou9qddzd4Xw7pDgIg4BSNzaODN916jd10/edit) * [ideas folder](https://drive.google.com/drive/folders/1XssZ02kCwP4pz_n7IGFiWcknU7hxyYZS) * [nathaniel dake inc](https://drive.google.com/drive/folders/1rbb1sGFdapagkxtIX_9wnS0mGKvwwHXw) * [technical blog post ideas](https://drive.google.com/drive/folders/1Qf9xo8fQAmCu15x4WZ5WizX60r3qHAma) ### Format * editor [ulysses](https://ulysses.app/) * formatting tool [vellum](https://vellum.pub/)