kogasa

"Tits Group" is a well known object in mathematics named after one Dr. Tits, but I admit plastic surgeon is another level

I was one of the last ~50 active players on War of the Roses when they shut down the backend. I had a bit over 1000 hours almost entirely in 1v1 dueling servers. Everyone knew everyone else. Tons of tribal knowledge about weird mechanics and glitches, blood feuds, and just generally interesting emergent gameplay within this tiny little niche. Since they shut it down I've been through college, grad school, a couple jobs, moved across the country, etc. and I still miss it. I really wish we'd been given this consideration.

Frivolous CVEs aren't a good thing for security. This bug was a possible DOS (not e.g. a privilege escalation) in a disabled-by-default experimental feature. It wasn't a security issue and should have been fixed with a patch instead of raising a false alarm and damaging trust.

Yeah but survival is the worst part about minecraft.

Sometimes I update and can no longer boot so I go outside, does that counf

Cox-Zucker Machine

There are different things which could be called "infinite numbers." The one discussed in the other reply is "cardinal numbers" or "cardinalities," which are "the sizes of sets." This is the one that's typically meant when it's claimed that "some infinities are bigger than others," because e.g. the set of natural numbers is smaller (in the sense of cardinality) than the set of real numbers.

Ordinal numbers are another. Whereas cardinals extend the notion of "how many" to the infinite scale, ordinals extend the notion of "sequence." Just like a natural number always has a successor, an ordinal does too. We bridge the gap to infinity by defining an ordinal as e.g. "the set of ordinals preceding it." So {} is the first one, called 0, and {{}} is the next one (1), and so on. The set of all finite ordinals (natural numbers) {{}, {{}}, ...} = {0, 1, 2, 3, ...} is an ordinal too, the first infinite one, called omega. And now clearly {omega} = omega + 1 is next.

Hyperreal numbers extend the real numbers rather than just the naturals, and their definition is a little more contrived. You can think of it as "the real numbers plus an infinite number omega," with reasonable definitions for addition and multiplication and such, so that e.g. 1/omega is an infinitesimal (greater than zero but smaller than any positive real number). In this context, omega + 1 or 2 * omega are greater than omega.

Surreal numbers are yet another, extending both the real and hyperreal numbers (so by default the answer is "yes" here too).

The extended real numbers are just "the real numbers plus two formal symbols, "infinity" and "negative infinity"." This lacks the rich algebraic structure of the hyperreals, but can be used to simplify expressions involving limits of real numbers. For example, in the extended reals, "infinity plus one is infinity" is a shorthand for the fact that "if a_n is a series approaching infinity as n -> infinity, then (a_n + 1) approaches infinity as n -> infinity." In this context, there are no "different kinds of infinity."

The list goes on, but generally, yes-- most things that are reasonably called "infinite numbers" have a concept of "larger infinities."

Thanks for closing it

Because it's pizza

People ITT hating on null coalescing operators need to touch grass. Null coalescing and null conditional (string?.Trim()) are immensely useful and quite readable. One only has to be remotely conscious of edge cases where they can impair readability, which is true of every syntax feature

I once had the flu so badly I couldn't get out of bed or yell for help. My parents put on "Flushed Away" (movie about some fuckin rats) on dvd and it looped at least 4 times before anyone came back to turn it off. One of my core traumas

Not backwards compatible, will never ever happen