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/sci/ - Science & Math

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10734810 No.10734810 [Reply] [Original]

So what if there was an integer between two and three?
Call it Integer x. 2<x<3 where 2+1=x, x+1=3 3-1=2. Two and three are still seperated by one, there's just an entire extra interval crammed in there.

>> No.10734814

We would just continue using a version of math that didn't include that integer.

>> No.10734818

>>10734810
>x+1=3 3-1=2
Ok, so x=2
>2+1=x
Ok, so x=3, 4, 5, 6, 7, 8, ....

>> No.10734841

>>10734810
Well that would give a contradiction.
x+1=3
(2+1)+1=3
4=3

>> No.10734856

>>10734810
People considered this when they created the integers. The construction of the integers from the bottom down and the bottom up (which is more or less defining mathematical induction on the integers and verifying that it holds for the entire set [math] \mathbb{Z} [/math].) So by the definition of succession, the successor of 2 is named 3. So by its own definition, there is no integer between 2 and 3.

>> No.10734997

>>10734810
This is a good SCP

>> No.10735051

>>10734810
you'd have to define some set theoretical universe where this is the case, and like >>10734856
said, in or current canonl integer 3 is defined to be the only successor to 2. of course if you define a new value to that using some axiom, we can just map 3 to the successor of 2, and move every integer over one since the set of integers is countably infinite.

>> No.10735091

>>10734810
What if there was a letter between two and three? Whoosh...Did I just blow ya'lls fucking minds?

>> No.10735098

>>10734841
OP got rekd by sophomore proof methods
good job, friend

>> No.10735120
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10735120

>>10734810
Are you some kind of new retard? Dare I say, a hyper retard?
2+1=x, x+1=3, 3-1=2
2+1=x, x+1=3, 3=2+1
3=x, x+1=3
3+1=3
4=3

>> No.10735320

but they aren't people if they were never born

>> No.10735433

Then we would have base 11 system instead of base 10.

>> No.10735529

>>10735433
This isn’t really right, since you can pick an arbitrary base system and enforce self sufficiency. That wouldn’t really change anything, because all you’re doing is taking all the ordinary points on a discrete number line and relabeling them with new symbols, but you aren’t really inserting anything new in between them. The answer proposed in >>10734856 is the answer.

>> No.10735535

>>10735529
*self consistency