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Get to a higher love learning higher category theories, with this 470 pages+ draft by Carlos Simpson. Using Segal's method, this book covers the foundation of higher category theory, model categories, generators and relations and the model structure. pdf link in comments.
Introduce yourself to first order logic, functional programming, constructive mathematics, type theory and its application in computer science, with this book by Simon Thompson. It's also available publicly as a pdf, link in the comments for my friends!
The shadow of Plato is everywhere, but i would say that Heraclitus (the logos), Parmenides (ontology) and Pythagoras (mathematics, western ascetism) are also prime factors in the equation of Western thoughts
Differential & Integral Calculus #sharingisthenewlearning youtube.com/channel/UC9V7Y…
What is the theory of forms? What is the noble lie? How could I get accepted at Plato's academy? By going to the internet archives and getting the publicly available pdf of Plato's complete works by Cooper. 🧐 Who knows, you might be the next Aristotle when you're done!
Topos are very useful abstractions that find themselves at the center of many subjects in mathematics, but has found applications in logic, physics and computer science. Check this 27 pages primer on arxiv, written in an intuitive and informal fashion pdf link in the comments
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“OpenAI is not organized for the private gain of any person – No part of the net income or assets of this corporation shall ever inure to the benefit of any director, officer or member thereof or to the benefit of any private person.” 🤨
foundation of computer science by Aho, computer organization/Operating systems by Tannenbaum, introduction to the theory of computation by Sipser. As for a language, the functional language Haskell is probably the best for that and/or c, python.
Great! So just start with an intro CS? What comp. language should I focus on for theoretical mathematics? If so, would you have some favorite books for CS and the recommended language? Thank you sooo much! 🤗🙏🤗
it can be very useful to know how to program a computer and building a program since it can be a great way to test your understanding of a mathematical concept, particularly in number theory or algebra.
1) I'm an amateur mathematician reviewing courses I took in college from algebra all the way to DiffEq. At the time, class 2006, it was not popular yet to study computer science if you minored/majored in mathematics. Do you feel like now it's important to do so....
I'm a writer. When I was young, I suffered severe mental illness. Then I found Carl Jung's work and began to heal my own mind. Here are 9 powerful philosophies he taught me:
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