This looks awesome and seems like a great opportunity for me to further hone my reverse engineering skills (which I only recently have been getting into). Thanks for sharing!
I've been following your linux insides posts for a while now, and I just want to say thank you for sharing your incredible knowledge in such a clear and enjoyable way. This booting process series has been particularly enjoyable and useful for me as a newer Linux user who wants to know how the internals work, as well as someone who has an interest in low level programming and computer engineering. Thanks again, I'm really looking forward to your future posts!
This is very cool. I love Lua, though my experience with it is limited to the few weeks I spent playing around with it as a Source engine scripting language in Half-Life 2: Sandbox. Still, it was very fun to learn, and I think this is an interesting application outside of its usual game scripting territory that I'd love to try out sometime. Great work! Thanks for sharing.
This is exactly the kind of visually appealing and easily navigable Vim plugin directory I've been searching for ever since I started using it last year. Thank you for sharing, this is fantastic!
This is some serious hacking, I love projects like these. Kudos for the live hex editor as well, this is a really cool debugging setup. Thanks for sharing!
Very interesting! I've often got into nasty arguments with people online when I dared to say that Computer science (Computing) was not a subset of math, but rather could be viewed more naturally as a superset. It is good to see serious academic work being done along these lines.
I did not get the impression, from the blog posts, that HOTT was putting forth that CS could or is a super set of math just that it can be used as a foundation for all mathematics, just like set theory or category theory can be.
I think this is where terminology breaks down a bit, but my reading of "basis of" is taken as being loosely equivalent to saying a superset of. In this same sense, logic can be seen as the basis for all mathematics. Anything that is math is also strictly logic, hence math is a subset of logic.
This is a fairly interesting philosophical question. Personally I view (and use) Math as a set of abstractions to understand the world, and use Mathematical Logic to help make Math more rigorous and proofs more checkable. But if it turned out that Mathematical Logic had some flaws as it is formalized today, I wouldn't throw out Probability Theory or Algebra. Instead I would seek a formalization of Mathematical Logic that made those things useful.
I don't think that there's any formal system you can use as the basis of all Math, though. For example, ZFC can't talk about proper classes, but we'd like to be able to make statements about the class of all sets, and the collection of all classes, etc.
Mathematics existed long before logic came to explain it, and most practicing mathematicians don't care that much about formal logic or think about it in their day-to-day work. The incompleteness theorems add a further disconnect.
I don't think it makes sense to say one can do mathematics without logic. Even if early math users didn't have a concept of formal logic, their mathematical reasoning was still dependent on it.
Ok I'll bite. Why is "creating the right model for thinking about a problem and devising the appropriate mechanizable techniques to solve it" a subset of mathematics?
Because the mathematics is basically distilled, formalized art of precise thinking. It's the art of manipulating and morphing mental models. It's as much about numbers as astronomy is about telescopes ;).
Higher math requires a great deal of lateral thinking. Also, music an math are often closely related but I don't see the connection between music an say computer vision.
Computer vision practitioners do mostly math, are we calling them computer scientists also? Sheesh :). Whenever I get in the same room with one, we are talking completely different languages (and we do have a sizeable computer vision team in our lab).
