lean-liquid
CBofN
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lean-liquid | CBofN | |
---|---|---|
3 | 8 | |
154 | 87 | |
3.2% | - | |
4.1 | 10.0 | |
3 months ago | over 3 years ago | |
Lean | C | |
- | GNU General Public License v3.0 only |
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lean-liquid
- The Mathematical Hacker
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What are some SOLVED mysteries?
It's a long way away from research-level, but there is real progress; now, I don't see how things like topology and such like will be formalized soon, having to write down explicit transformations for things instead of just saying "this is clearly such a transformation", but I've been impressed.
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Is there a book like Russell's Principia Mathematica but for modern day mathematics?
Re your second para: you make speculations, but here are the facts. There certainly is a bunch of interest right now in formalising mathematics, there are fully paid-up mathematicians like myself hanging out on the Lean chat, working on stuff like this -- undergraduates, PhD students, post-docs and permanent staff. The repo is here and it's coming along nicely. Movement is happening. But it will be a while before we can convince the "generic mathematician" that these tools are useful. The Scholze project linked to in those links above is just another data point, but I fear we will need many more.
CBofN
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CS251: Great Ideas in Theoretical Computer Science (CMU)
Source code for the second book:
Use DieHard to avoid crashing newer window managers such as CWM:
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KamilaLisp – A functional, flexible and concise Lisp
Check out stutter from the Computational Beauty of Nature too:
cat data/demo.lisp | ./bin/stutter
Have a look on the file on how integers and aritmetics are implemented.
The books explains that, but is not free. But you can get it somewhere else.
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Old Math Software from 1990s
From the The Computational Beauty of Nature:
If you use CWM as your window manager, it might crash as some of the software only works fine
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The Mathematical Hacker
Read The Computational Beauty of Nature and compile the associated examples:
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“A damn stupid thing to do”–the origins of C
On C, compilers in the 90's sucked up a bit, and the code wasn't much better.
Consider this:
This code crashed CWM under OpenBSD 7.2, but it worked under FVWM.
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New research suggests our brains use quantum computation
https://mitpress.mit.edu/9780262561273/the-computational-bea... and
On Debian/Ubuntu: install xorg-dev build-essentil git and clone it.
*BSD users: You and we already know what to do.
- Physicist Erwin Schrödinger on Free Will and Pantheism
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Summer Book Recommendations?
This is a really unique book, but it is quite dated as the graphics/simulations are written in C (https://github.com/gwf/CBofN). But I don't think the book text has any code in it nor does is it necessary to read the code to read the book. Rather it is mostly conceptual with some mathematics.
What are some alternatives?
mathlib - Lean 3's obsolete mathematical components library: please use mathlib4
if-then-else - !!Con West 2019 talk
adjoint - Thoughts on adjoint, norm and such.
natural_number_game - Building the natural numbers in Lean 3. The original natural number game, now frozen. See README for Lean 4 information.