Definitions Memes

Mathematicians having the most unnecessarily complicated conversation ever! 😂 When someone says "connected space" in topology, they're basically saying "you can get from any point to any other point without teleporting." But instead of just saying "line," this person's going with "extended long line" - which is literally just saying "line" with extra steps! The best part? The look of absolute defeat when they keep repeating the obvious. Yes, in a connected space there IS a path between any two points - that's literally the definition! It's like defining a circle as "a round shape that's circular." Pure math-speak at its finest!

Behold! Mathematical tautology at its finest! This professor just defined a straight line as "a curve which is uncurved" — essentially saying "this thing without curvature has no curvature." It's like defining water as "liquid that's wet" or calling sleep "unconsciousness where you're not conscious." Mathematicians love these circular definitions almost as much as they love pretending that π equals exactly 3 when the calculation gets too complicated! Next up: "A circle is just a polygon with infinite sides that forgot how to have corners."

The mathematical equivalent of "water is just boneless ice." Only a professor who's been teaching for 30+ years would deliver this kind of circular definition with complete confidence. It's technically correct—the best kind of correct—while being utterly useless for anyone trying to understand geometry. Next up: "A circle is just a polygon with infinite sides" and "zero is just a number that equals nothing." Pure mathematical dad joke energy from someone who's definitely tenured enough not to care anymore.

Ever asked a mathematician to define a vector? PREPARE FOR MATHEMATICAL CHAOS! The bell curve shows the hilarious spectrum of responses - from the simplified "it transforms like a vector" (looking at you, physicists) to the middle-ground normal people, all the way to the math purists with their "tangent bundles" and "transition functions." It's that moment when you realize math people aren't speaking English anymore but some eldritch language designed to make your brain melt. The "Checkmate Atheists" title is the chef's kiss - as if proving God exists because only divine intervention could explain why we need 17 different definitions for the same concept!

Mathematical tautologies hitting different in those 8 AM lectures! The professor dropping mind-bending definitions like "a straight line is just a curve that forgot how to curve." It's giving the same energy as "water is just boneless ice" or "sleep is death without the commitment." Next up: circles are just pointy objects with infinite points. Mind = blown. 🤯

Pure mathematics in its natural habitat. First, we define a symmetric matrix as one where A equals its transpose. Then, in a stunning twist that shocks absolutely no one, we prove that if A is symmetric, then—wait for it—A equals its transpose. The circular reasoning is so perfect it could be used to teach geometry. Mathematicians spend years getting PhDs just to discover that things are what we defined them to be. Revolutionary stuff.

The eternal mathematical debate that's split more friendships than pineapple on pizza. One character insists natural numbers are "positive integers" (1, 2, 3...), while the other maintains they're "non-negative integers" (0, 1, 2, 3...). The difference? Just a lonely zero standing at the edge of the number line, desperately wondering if it belongs. Mathematicians have been fighting over this technicality for centuries while the rest of humanity sensibly asks, "Wait, you get paid to argue about this stuff?" The real joke is that both are technically correct depending on which textbook you worship. Welcome to math, where even the simplest concepts come with philosophical baggage.

The eternal mathematical crisis of notation! The poor mathematician is faced with two completely different definitions of the interval [a,b]. One button says it equals "ab - ba" (which would be zero if a and b commute), while the other defines it as the set of all real numbers between a and b. This is the mathematical equivalent of finding out your favorite restaurant has two completely different dishes with the same name. No wonder our friend is sweating bullets—imagine building an entire proof only to realize you've been using the wrong definition the whole time!