This "Mathy Stuff and Ternary Logic" category covers mostly mathematical essays, with occasional forays right into ternary logic, which underpins my inquiry into mathematics.
I always just assumed the link between algebra and geometry was pretty solid, but actually it's two different worlds, similar to Poincare's distinction between logical and intuitive that I've discussed elsewhere (and so has Terence Tao). So it's nice to find that someone found an elegant synthesis […]
This blog talks about trivalence with several posts I want to read more and maybe respond to someday when I have a little time to spare. Looking at Kratzer’s lumping problem, or the ill fit of the material conditional with natural language, I get the impression that logic is in its infancy. […]
While Myerson has called Nash’s vision of game theory “one of the outstanding intellectual advances of the 20th century,” he sees correlated equilibrium as perhaps an even more natural concept than Nash equilibrium. He has opined on numerous occasions that “if there is intelligent life on other […]
Since it took me years to figure out that I learn math intuitively, not rationally as most mathematicians do, I find the distinction between the two methods fascinating. Once I figured that point out, everything became much easier because I finally knew where I was standing. I knew that my approach […]
It just occurred to me the famous problem with Euclid’s fifth postulate can also be seen hidden in the first four postulates, which are said to be true because they are intuitively obvious. Let's look at them: To draw a straight line from any point to any point. To extend a finite straight line […]
I'm coming at this from a number of angles; not all of them are making an appearance in this series of posts. Here's one, though: I got a few more insights in conversation yesterday with a friend who said "What? You don't know calculus? I thought by all your math posts online you knew basics […]
I've decided I need to learn what derivatives are before I can get to the heart of understanding what's happening inside the "hidden layers" of neural nets, and backpropagation is still not making sense for me. Turns out derivatives are at the heart of calculus. I avoided calculus all my […]
http://www.smithsonianmag.com/innovation/how-humans-invented-numbersand-how-numbers-reshaped-our-world-180962485/
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