Logic Memes

Posts tagged with Logic

I Love Proving Numbers Exist
Math
14 hours ago 12.4K views 0 shares
I Love Proving Numbers Exist
You know you're deep in the mathematical weeds when your entire field rests on two tiny axioms at the bottom. ZFC (Zermelo-Fraenkel set theory with the Axiom of Choice) and Principia Mathematica are basically the "trust me bro" foundation that holds up literally everything else in modern mathematics. It's like building a skyscraper on a couple of pebbles and hoping nobody asks too many questions about whether those pebbles are actually real. Mathematicians spent centuries just trying to prove that numbers exist and that 1+1=2 without creating logical paradoxes. Bertrand Russell and Alfred North Whitehead needed over 300 pages in Principia Mathematica to rigorously prove that 2+2=4. Meanwhile, the rest of us are up there doing calculus, topology, and abstract algebra, blissfully unaware that the entire enterprise could theoretically collapse if someone finds a contradiction in the axioms. The best part? We can't even prove these foundational systems are consistent from within themselves (thanks, Gödel). So yeah, modern math is just vibes built on unproven assumptions. Sleep tight!

A Problem Is Called Closed If Its Negation Is Open
Math
4 days ago 111.1K views 0 shares
A Problem Is Called Closed If Its Negation Is Open
Someone just discovered topology and their brain is doing backflips. The "10 guy" meme format perfectly captures that glazed-over look you get when you realize the continuum hypothesis—one of the most mind-bending unsolved problems in set theory—is literally both "closed" and "open" depending on how you look at it. In topology, a set is "closed" if its complement is "open" (and vice versa). So naturally, our stoned mathematician here has coined the term "clopen" for sets that are BOTH closed AND open simultaneously. And guess what? The continuum hypothesis, which deals with whether there's a set size between countable infinity and the continuum, is independent of standard axioms—meaning you can neither prove nor disprove it. It's mathematically... clopen. The beauty here is watching someone's neurons fire in real-time as abstract mathematics collides with wordplay. In ZFC set theory, the continuum hypothesis is neither provably true nor false, making it the ultimate "clopen problem." It's like Schrödinger's mathematical statement, except instead of a cat, it's Cantor's infinities having an existential crisis.

Naming Your Child After Math Theorems
Math
7 days ago 45.1K views 0 shares
Naming Your Child After Math Theorems
Imagine ruining your kid's social life before they even learn to walk. Naming your child "Khaleesi" is one thing—at least Game of Thrones was popular for a hot minute. But naming them after Gödel's Incompleteness Theorem? That's next-level dedication to mathematics. For those blissfully unaware, Gödel's Incompleteness Theorems basically proved that in any mathematical system complex enough to do basic arithmetic, there will always be true statements that can't be proven within that system. It's the mathematical equivalent of "some questions don't have answers," which ironically is what little Gödel will be saying when people ask about their name at parties. The real kicker? The parent is PROUD. Meanwhile, their child will spend their entire school career explaining to teachers how to spell their name and why yes, their parents are indeed mathematicians who thought this was a brilliant idea. At least they'll never have to share their name with three other kids in class.

Use The Gamma Function, Use The Symmetry Of The Binomial Coefficient, Use The Taylor Sum, But Please, For The Love Of Euler, Don't Use This Argument For Why 0! = 1
Math Academia
10 days ago 49.5K views 0 shares
Use The Gamma Function, Use The Symmetry Of The Binomial Coefficient, Use The Taylor Sum, But Please, For The Love Of Euler, Don't Use This Argument For Why 0! = 1
Mathematicians have legitimate, beautiful reasons for why 0! equals 1—the gamma function extension, combinatorial interpretations, the empty product convention—but then someone walks into your office and says "well obviously 0! = 1 because 1! = 1 × 0!" and you can literally feel your brain melting out of your ears. This circular reasoning is the mathematical equivalent of saying "I'm right because I said so." It's like proving water is wet by saying wet things are watery. The argument assumes what it's trying to prove, which is why it causes a full-body headache that makes migraines look like a gentle massage. Fun fact: The real reason 0! = 1 is that there's exactly ONE way to arrange zero objects—by doing nothing. It's the empty arrangement, and it counts. Much more elegant than this recursive nightmare that haunts every math professor's dreams.

But It's The Largest Number Why Are We Adding 1 Again
Math
18 days ago 44.9K views 0 shares
But It's The Largest Number Why Are We Adding 1 Again
Welcome to the exact moment childhood innocence meets mathematical existential dread. You confidently declare infinity as the ultimate number, the final boss of counting, only to have some smartass introduce you to "infinity plus one" like they just invented fire. Here's the thing that broke your seven-year-old brain: infinity isn't actually a number—it's a concept representing something without bound. So saying "infinity plus one" is mathematically meaningless, like saying "wet plus one" or "Tuesday plus seven." But try explaining that to a kid in the middle of a playground argument about who has more of something. Mathematicians dealt with this by creating different "sizes" of infinity (thanks, Cantor), which somehow makes it worse. Turns out some infinities ARE bigger than others, so that annoying kid wasn't entirely wrong. The universe really said "you thought you understood big numbers?" and laughed in cardinality.

True, False And Can't Talk About It Bro
Math
20 days ago 48.1K views 0 shares
True, False And Can't Talk About It Bro
You know that smug feeling when you think you've got logic all figured out? Yeah, calculus just entered the chat to humble you. The function f(x) = 1/x literally doesn't exist at x = 0 because dividing by zero is the mathematical equivalent of asking "what color is Tuesday?" The question itself is broken! So when someone asks if the statement "f(x) is not continuous at x = 0" is true or false, mathematicians are like "bruh, the function isn't even DEFINED there, so we can't discuss its continuity." It's like asking if your imaginary friend is tall or short. The premise is flawed from the start! That's why this perfectly captures the third option beyond true/false: "this question is nonsense and we need to have a serious conversation about domain restrictions." Mathematics really said "not every question deserves an answer" and I respect that energy.

A Brilliant Construction Of The Reals With Set Builder Notation
Math
21 days ago 63.4K views 0 shares
A Brilliant Construction Of The Reals With Set Builder Notation
This is the mathematical equivalent of saying "the floor here is made of floor." The equation literally states that the real numbers (ℝ) are defined as the set of all x such that x is a real number. It's beautifully, hilariously circular! Set builder notation is supposed to construct or define sets using properties, but this definition just... assumes you already know what real numbers are. It's like defining a cat as "an animal that is a cat" – technically true, but spectacularly unhelpful. Mathematicians actually construct the reals through rigorous methods like Dedekind cuts or Cauchy sequences, so this lazy circular definition gets the sarcastic "thank you Mr. Helpful" treatment it deserves. Perfect example of when formalism meets maximum laziness.

Wtf Is Wrong With Hannah?
Math
22 days ago 55.0K views 0 shares
Wtf Is Wrong With Hannah?
When someone asks what happens in your head when you do 27 + 48, there are exactly two types of people: Laura, who calmly breaks it down as 27+8=35, then 35+40=75, and Hannah, who apparently took the scenic route through mathematical chaos. Hannah's brain said "let's make this INTERESTING" and proceeded to do 7+7=14+1=15... wait, where did that 1 come from? Then somehow 5 appears out of nowhere, followed by 2+4=6+1=7, and miraculously lands on 75. It's like watching someone navigate with a broken GPS but still arriving at the correct destination. The mathematical equivalent of "task failed successfully." The best part? Both methods get you to 75, but Hannah's brain apparently needed to take every possible detour, pick up some random numbers along the way, and create what can only be described as arithmetic parkour. This is what happens when your mental math decides to speedrun through every possible combination of digits like it's trying to crack a safe.

"A Fire Breathing Dragon Lives In My Garage" - Carl Sagan
Scientists Science Research Academia
25 days ago 66.3K views 0 shares
"A Fire Breathing Dragon Lives In My Garage" - Carl Sagan
Carl Sagan's famous thought experiment about the unfalsifiable dragon strikes again! The meme brilliantly captures his point about unfalsifiable claims—when someone says there's an invisible, incorporeal, floating dragon that spits heatless fire in their garage, it's functionally identical to having no dragon at all. Every time you try to test it, they add another qualifier that makes it impossible to verify. Sagan used this parable in "The Demon-Haunted World" to illustrate how claims that can't be tested or disproven are scientifically meaningless. If your hypothesis conveniently dodges every possible test—thermal cameras won't work because the fire is heatless, flour on the floor won't show footprints because it floats, etc.—then what's the difference between that and it not existing? The burden of proof lies with the claimant, and extraordinary claims require extraordinary evidence, not extraordinary excuses. The "Corporate needs you to find the differences" format is *chef's kiss* here because it perfectly mirrors the logical conclusion: they're the same picture because functionally, they ARE the same thing. Falsifiability is a cornerstone of the scientific method, and Sagan was a master at explaining why it matters.

(P ∨ ~P)
Math
29 days ago 50.8K views 0 shares
(P ∨ ~P)
The title is the law of excluded middle from logic: either proposition P is true, or its negation (~P) is true. There's no third option. So the commenter brilliantly applies this to relationship status: "he either has a girlfriend, or no girlfriend" – which is just... stating that all possible outcomes exist. Revolutionary insight there, buddy. What makes this comedy gold is Alexander's response: "its usually like that for everyone." He's absolutely right – this is a tautology, a statement that's always true by definition. You've just described reality using formal logic to sound profound while saying absolutely nothing of substance. It's like announcing "either it will rain tomorrow or it won't" and expecting applause. The crying emoji really sells the false profundity of it all. Welcome to philosophy 101, where you can make obvious statements sound intellectual by adding symbolic notation.

Coaxed Into More Fol (Goomba Funnel Edition)
Math Psychology
1 month ago 41.5K views 0 shares
Coaxed Into More Fol (Goomba Funnel Edition)
So we've got a formal logical proof that if you simultaneously believe two contradictory things, you're stupid. Then someone goes on Twitter and declares "everyone on this website is stupid except for me." The beautiful irony here is that P(🍄) believes everyone else is stupid while Q(🐢) believes everyone else is stupid, which means they both believe contradictory things about who's stupid. By their own logical framework, they've just proven themselves stupid. It's like watching someone carefully construct a bear trap and then immediately step in it. The existential quantifiers in the thought bubble are doing some heavy lifting here—basically saying "there exists someone who believes P" and "there exists someone who believes Q" while simultaneously claiming everyone who believes both is an idiot. The self-own is so elegant it could be published in a logic textbook under "How to Refute Yourself in 280 Characters."

When You Start Your First Proofs Class
Math Academia Tech
1 month ago 43.2K views 0 shares
When You Start Your First Proofs Class
So you thought programming was just a bunch of if-statements strung together? Sweet summer child. Mathematicians just watched your soul leave your body in real-time. Turns out, those "if" statements in programming are baby talk compared to the rigorous logical gymnastics required for mathematical proofs. While coders are happily writing "if x > 5 then do this," mathematicians are out here proving that 1+1=2 takes 379 pages (looking at you, Principia Mathematica). The side-eye is strong with this one—it's the look of someone who's about to introduce you to proof by induction, proof by contradiction, and proof by "I'm crying in the library at midnight."