this post was submitted on 22 Jul 2024

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402

1 + 1 (mander.xyz)

submitted 5 months ago by [email protected] to c/[email protected]

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[–] [email protected] -2 points 5 months ago

How old this be inductive reasoning?

Surely the philosopher is the one looking for definitions..

[–] [email protected] 16 points 5 months ago (1 children)

I'm surprised the 6 year old knows factorials.

[–] [email protected] 5 points 5 months ago

Not only that, it is mathematically correct, at least given the usual definitions of 1, 2, +, and !

[–] [email protected] 3 points 5 months ago

Math isn't induction. Its deductive logic.

[–] [email protected] 19 points 5 months ago (1 children)

You forgot accountant

"What do you need it to be?"

[–] [email protected] 4 points 5 months ago

We need to report negative earnings so we don't have to pay taxes obviously

[–] [email protected] 13 points 5 months ago (1 children)

You can't put an expression on the left-hand-side of the assignment operator.

[–] [email protected] 4 points 5 months ago

You need more expressive languages.

[–] [email protected] 27 points 5 months ago (1 children)

1 + 1 is not equal to a question mark.

[–] [email protected] 6 points 5 months ago (1 children)

What did 1 minus 1 equal before zero was invented? 🤔

[–] [email protected] 7 points 5 months ago

Yeah, define "zero".

The one invented on India at around the Middle Age is a different one. The one you are asking about is very old.

[–] [email protected] 1 points 5 months ago

new captha alert 1 + 1 = 2 to enter

[–] [email protected] 54 points 5 months ago (2 children)

Engineer: 2, but 3 to be safe.

[–] [email protected] 26 points 5 months ago (1 children)

The budget is for 1.5, make it work.

[–] [email protected] 17 points 5 months ago

Oh, hi Boeing Manager.

[–] [email protected] 9 points 5 months ago (1 children)

Was going to say: 2ish

[–] [email protected] 13 points 5 months ago (1 children)

Wouldn't they just look up the answer in a table?

[–] [email protected] 8 points 5 months ago

Nah not anymore, now you spend a day or so building some convoluted excel calculator once so that you never need to do the calcs again.

Then, 3 years later when you go to add or change something in that calculator, you have absolutely no idea how it works and decide the change wasn't that important anyway.

[–] [email protected] 19 points 5 months ago (1 children)

Computer Scientist: 10

[–] [email protected] 3 points 5 months ago

O(1)

[–] [email protected] 28 points 5 months ago* (last edited 5 months ago) (2 children)

ok, I define 1 as {∅} and 2 as {∅, {∅}}

proving the addition holds is slightly more complicated

[–] [email protected] 4 points 5 months ago* (last edited 5 months ago) (1 children)

I really recommend the YouTube channel "Another Roof". His first few videos were building up exactly this idea, as well as building up all the real numbers (possibly complex too if I'm remembering correctly). Sounds like a dry topic but he uses humour really well throughout. https://youtube.com/@anotherroof

Here is a playlist of the topic: https://youtube.com/playlist?list=PLsdeQ7TnWVm_EQG1rmb34ZBYe5ohrkL3t

[–] [email protected] 2 points 5 months ago

ooh, that looks interesting!

[–] [email protected] 13 points 5 months ago (2 children)

Now define "+"

[–] [email protected] 8 points 5 months ago (2 children)

+ is a map from N×N to N where a + 0 = a and a + S(b) = S(a + b) (S is the successor function that gives the next number).
Then 1 + 1 = 1 + S(0) = S(1 + 0) = S(1) = 2.

[–] [email protected] 4 points 5 months ago (1 children)

seems a little sus to use + to define +

[–] [email protected] 9 points 5 months ago

No, it's correct. You define the operation by it's properties. It's not saying that "a plus 0 = a" but "the result of applying the binary operation '+' to any number with 0 should give the original number."

is just a symbol. You could instead write it as +(a,0)=a and +(a,S(b))=S(+(a,b)).

You have to have previously defined 1=S(0), 2=S(1), 3=S(2), and so on.

[–] [email protected] 32 points 5 months ago (1 children)

I love the comment that it's "occasionally useful"

[–] [email protected] 16 points 5 months ago (1 children)

Hmm yes.. set theory... I don't understand anything happening here

[–] [email protected] 12 points 5 months ago* (last edited 5 months ago) (1 children)

There is actually a really good explanation for us math-curious non-mathematicians here:
https://blog.plover.com/math/PM.html

[–] [email protected] 3 points 5 months ago

That's some good read, thank you so much.

[–] [email protected] 4 points 5 months ago

How would a two year old know factorials?

[–] [email protected] 9 points 5 months ago* (last edited 5 months ago)

Computer Scientist: 0 and a carry bit

Mathematician: S(1)

[–] [email protected] 7 points 5 months ago

Terrence Howard : 2 !! Also 1x1=2 !!

[–] [email protected] 3 points 5 months ago

I appreciate the latex-style quotes around the mathematician's 1

[–] [email protected] 2 points 5 months ago

What's great is the kid is correct even with the factorial

[–] [email protected] 9 points 5 months ago

Quantum physicist: Whats the uncertainty?!

[–] [email protected] 31 points 5 months ago

1+1=3 in cases of large 1's

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