How would math be different if we redefined 1 to be what we call

>>8882156
Harder? It's not much of an issue that pi is irrational.

>>8882253
But women are irrational and we all have trouble with them

>>8882156
>tfw my dick is 0.102/3.142 meters long by your definition.

>>8882156

By Pi do you mean the symbol itself or the abstract idea of the number Pi?

Because either way, it's pointless. 1Pi 2Pi 3Pi and so on. Everything is still defined in terms of the fundamental sequence of numbers.

It would make a circle's length equal to its diameter's length. Circles would fail to exist, and probably all dimensions above 1 would cease to exist.
>HURR IMPOSSIBLE HOW DOES IT WORK WITH LE RANDOM 3.14157783727
well, it is not random at all. It was discovered by humans and defined by the first big bang.

>>8882156
One of the most important properties of 1 is that 1*N=N for all N.

Redefining 1 to mean pi would break everything.

>>8883191
At that point you're just proving that numbers are arbitrary, or at least how we represent them.

>>8883194
I suppose a better way to put it would be that if the sequence 1,2,3,...n is redefined to mean pi,2pi,3pi...npi, then the element of the natural numbers previously known as 1 becomes an irrational constant necessary for most multiplication.

This would make math tedious.

>>8883205
Probably more error as well.

>>8882156
God, you're retarded. Fuck this garbage board.

>>8882156
That would make no sense. Pi is a ratio between two different lengths, 1 is the ratio between two identical lengths, they're fundamentally different.

>>8882156
el
oh
el

>brainlets

>>8883177
The abstract idea of pi. Like if instead of basing 1 of of counting 1 finger, we were completely circular organisms who defined the basic unit of math (1) off of the constant that was the ratio of our diameter to our circumference.

>>8883469
that has nothing to do with math. a meter is arbitrary. you can't define a ratio as a unit.

pi is only 3.14... because you know that 1 is 1

>>8883477
A meter is an arbitrary ratio of something to something, that's how all measurement is defined.

C/2r = 1

So now you've just got 1 except now its called pi. 1 is still 1 and pi is still pi.

>>8883498
No. What you call 1 is less than pi. What you call pi is 3.14...*1 to me

>>8883510

>What you call pi is 3.14...*1 to me

Oh my fucking god you're just validating my point. You've just changed the name, the actual fucking maths is the same except you call pi the word "one". You're still using the actual concept of "1" in your explanation. Alright, if one is pi, what do you call 1?

If you don't like irrationals, the "pi" in taxicab metric is 4.

>>8883514
1 to you is smaller than 1 to me, since my one is 3.14 to you.

So your 1 to me would be correspondingly less

>>8883527

Yeah its functionally exactly the same. You're basically just counting in radians.

>>8883532
That's the entire point. It makes math easier by making dealing with radians more intuitive by eliminating their irrationality.

>>8883536

>It makes math easier by making dealing with radians more intuitive by eliminating their irrationality.

It doesn't deal with the irrationality. Its still an irrational number because it can't be represented as the ratio of two integers.

I literally defined pi as the integer value 1.

>>8883168
Really sucks to be us, my good man.

>>8882156
When motion is involved, pi=4

>>8883490
No.

A meter is a dimension, whereas pi is a dimensionless value. Pi is inherent to all circles, whereas a meter is inherent to nothing.

>>8883536
It only makes maths easier in triginomitry and other areas with pi.

Every time you buy two chicken wins you don't want to have to say "oh I'll have 2/pi chicken wings" cus that'd be retarded. And when we do triginometry we basically already define 2pi as 1, saying that 2pi radians makes up a turn turn.

You use numbers that don't involve pi way more than you do, jesus this board is so dumb. It's like you guys that heard "pi is le irrational xddd" and think you are intellectuals talking about it and how 'solve' the 'problem' of it being irrational. What about e being irrational? What about sqrt2 being irrational? This 'solution' doesn't do anything for those very important numbers either.

>>8882156
all real numbers can be represented as a linear combination of 1 real number (trivial corollary of definition of a field)

however, this does not really do anything to the space, more like a meaningless change of basis. (1 dim space).

all in all, an interesting thought, but it really has more meaning in higher dimensional vector spaces. you could any read a book on linear algebra for a more in depth discussion on changing basis.

File: pi equals 4.png (7KB, 283x283px) Image search: [Google]

7KB, 283x283px

>>8883520
Cool shit, this is basically the answer OP is looking for. Anything that isn't just a meaningless reassignment has to change the actual geometry.

https://en.wikipedia.org/wiki/Taxicab_geometry

>>8883636
Well to be clear pi is still 3.1415..., but the "pi" for taxicab circles is 4.

>>8883514
My one is 3.14 to you, so what I call 3.14 is 3.14*3.14 to you

>>8883688

What is pi/pi in your number system? Its 1 isn't it. So you've not changed anything, you're doing is counting in terms of pi*x.

>>8883707
1/1 = 1
3.14/3.14 = 1
3.14^2 / 3.14 ^2 = 1 (or as you call it, pi)

>>8883717

>3.14^2 / 3.14 ^2 = 1

But that equals "what you call" 1, not pi.

3.14^2/3.14^2 = 3.14^2-2
3.14^2-2 = 3.14^0 which is 1 because anything to the power 0 is 1.

>>8882156
if pi is 1 then what is 2?

pi is 1
golden ratio is 2
e is 3
then the square roots of rational numbers?

>>8883570
Nah i'm actually 6 and a half inches. I was just pullin ur weiner bud.

Ok but now 1 is 1/pi, hence an irrational number