I bet you didn’t realize your wifi could show where you are in your house could it?
Quanta Magazine makes a wonderful set of videos on mathematics, computer science, physics, biology, cosmology, and science fields. They distill amazing discoveries down to quick videos that often include interviews with the very scientists involved. One series I really like is their yearly summary videos that sum up some of the biggest breakthroughs of the year.
The 2021 video has a really great interview on how we’re starting to formalize and start really understanding how neural nets used in AI algorithms work. They used a clever idea of starting with how these networks worked if the net width was infinite.
It’s a great part of my effort to move away from emptier forms of social media consumption and more intentionally spend my time/energy on creative, positive, constructive, uniting, uplifting, and educational efforts.
The 2020 video has a really good segment on the LEAN mathematical proof assistant that is building up a library of theorems and assist in proving them.
Looks like nVidia now allows paravirtualization of a single GPU between different virtual machines. This is really cool for AI work. Craft Computing shows you how to set up the graphics cards and virtual machines.
Check out some of his other great videos as well. I like this one where he was finally able to figure out how to use ANY graphics card for 3D Acceleration in a virtual machine:
Gödel proved his 3 famous incompleteness theorems at the opening of the 1900’s, and I would argue that they are still probably the most profound discoveries in mathematics of the whole century.
Veritasium gives one of the best descriptions of these proofs, and the mathematical developments that led to them.
Two of the the greatest intellectual achievements of modern times might surprise you. Both were developed by Austrian mathematician and logician Kurt Gödel in 1931. They are called simply Gödel’s incompleteness theorems and apply to all of mathematics, formal logic, and even philosophy (epistemology in particular). The implications turned out to be deeply profound and have thrown all of mathematics, logic, and even philosophy into disarray ever since. Despite almost a century of attempts, no one has been able to disprove them. In fact, almost all attempts end up supporting, and even reinforcing and expanding them. They now are accepted as almost certainly true.
The theorems sound simple enough at first blush. The first incompleteness theorem states that in any consistent formal system (mathematics, logic, physics, etc) in which a certain amount of arithmetic can be carried out, there are statements of the language of which can neither be proved nor disproved in that language. According to the second incompleteness theorem, such a formal system cannot prove that the system itself is consistent (assuming it is indeed consistent).
What is so shocking about these two simple theorem? They prove something devastating: that mathematics and logic is not complete. There will always be truths in reality that the system cannot prove. It means that some problems can NEVER be solved in some kinds of mathematics or logic. You can even try making new systems of math/logic (Algebra, Calculus, etc) but they ALL will have things they cannot prove. It meant that you might work on a mathematical, physics, or logic problem your whole life, and none of the systems we know about might be able to solve it – even though it might have a solution. There might even be some problems that if we make infinite numbers of logical or mathematical systems, we might STILL not be able to find a solution.
Veritasium did an absolutely fabulous video on the topic that’s worth a listen.
It blew my mind when I learned about Godel’s incompleteness theorems in college. Knowing that our tools are limited is frightening at first. It completely unseats our certainty that known mathematics or science as we have today is sufficient. In fact, we know it is NOT sufficient. In fact, we know that we’ll almost certainly have to make more logical systems for the rest of eternity. We can never have a grand unified theory of everything. There is no ‘bottom’ to reach.
Yet this opens the reality that there will ALWAYS be something new to learn and know. There will be countless other models that might work for problem we have but we haven’t found yet – even though each one will be flawed and incomplete in their own way.
Many purists find this knowledge to be disastrous. It rips the rug out from anyone that asserts we can know everything. Others were excited by the fact there will always be new developments. Others are left in awe that even our very universe/reality itself lacks the limits we have. Still others have taken this as proof of the infinite. I know at least one mathematician that believed it gave us proof of God.
I do believe in God – without question. Many people forget that the vast majority of modern science was developed by believers in God that saw no conflict with discovery of properties of the physical world. The idea that faith and science are incompatible is a very modern and absolutely incorrect train of thought.
Instead, I see this reality as much like ourselves. None of us are perfect, yet each of us has a uniqueness that might just express a great truth no one else in history has seen or could see. This is why life is so infinitely precious and a tragedy to all when even one life is lost. This is why it is a crime to all humanity when we decide suffering is reason to end a life or that a disadvantage life is a life not worth living when we have such contrary examples and saw exactly where that idea led too in the early 20th century during WW 2.
I’ve always wanted to own an old Vectrex, but the Vecfever cartridge amps that desire up to 11. Not only can it let you program your own Vectrex games, but it also allows you to play actual arcade vector-based ROM chips like Star Wars, Battlezone, Tempest, Lunar Lander, and many other vector-based graphics classics.
Check out this wonderful video (and many other fascinating retro computing videos) from the guys at The Cave.
You can also replace the CPU of an old Vectrex with PiTrex – a Raspberry Pi based emulator.
There’s also a lot of replacement parts from tenpencearcade if you need some replacement Vectrex parts.
Not a very good painter or artist? You don’t need to be anymore. Like some of my other postings on AI art generation, there are more and better tools creating art every day.
Enter nVidia Canvas AI. It has been offered for free and runs on just about all recent nVidia RTX graphics cards. Give it a shot.
What an interesting new world we live in…
Some of the clever and interesting sound sources used to create the audio in Halo Infinite. From renting out airfields to record blackhawks, to recording old steam tractors, to visiting Tasmania to record lions and chickens, to pugs used for groundhogs. Foley artists are quite an interesting breed.
Want to play some Dungeons and Dragon’s style adventuring, but don’t have time to set up the game night and campaign? Try AI Dungeon (also on Steam) created by Nick Walton, the founder and CEO of Latitude.
Nick Walton believes that AI will never fully replace humans in a creative capacity, but it can be the engine artists use to try out new ideas and spark creativity.
“There’s always going to be a really important place for humans defining what the experience is, what the story is, and what matters, but AI is essentially enabling every person to be a creative director of their own experience.” In other words, tech like this should be used to facilitate human creativity.
“Our goal is just to make it really easy for creators to build those types of experiences, and to continue to lower the barrier that it takes to build those.”