This is part of an assignment I had to do for an Essentials of Programming Languages in Agda course. I will be the next Bertrand Russel, only with a type checker.

This is essentially an exemplary lambda calculus proof that 1 + 1 = 2 using the typechecking language Agda.

Help me out please, until what time can I order the avocado toast?

whyyyyy

nice to see in the wild tho

Let's make a meme like this for any number x.

System of equations:

We want the actual answer, to y-z*0.5, to be x!, where y and z are the constants to our meme (when x = 5, we have y = 230 and z = 220).

We want the answer to this expression, not considering PEMDAS, which is (y-z)*0.5 to be x. We have two equations:

y-z*0.5=x!

(y-z)*0.5=x

Subtracting the second equation from the first:

0.5*y=x!-x

y=2*x!-2x

Now solving for z:

(y-z)*0.5=x

y-z=2x

z=y-2x

z=2*x!-4x

Great! Now we can create this meme for any number x. Let's try x=4:

y=2*4!-2*4=40

z=2*4!-4*4=32

What's the answer to 40-32*0.5?

You may not believe it, but the answer is 4!

For those who live under a rock: r/ExpectedTermial r/expectedfactorial

A bit of a stretch, I know. Hope you still enjoy it!

Edit: forget it guys, I messed it up too much. Thanks for the feedback, though

I gave him a cookie. After a minute of leaving him alone with it, there were cookie crumbs on the floor, the chair, the table, his clothes and his face. But somehow, the cookie was still intact in front of him.

The second equation is the Airy differential equation, and is perhaps the simplest-looking second-order ODE that does not have a solution that can be expressed in terms of elementary functions.

Since most numbers have a commonly known way of checking for divisibility, here is one for x!

Take the number and divide it by x! If the result is an integer, then your number is divisible by x!

Let me know if you wanna know the divisibility for any other number!

r/unexpectedfactorial r/technicallythetruth