If 1+1equaled some number other than 2; what would that do to the basics of calculus?

Answer 1

so you're asking what would happen to the basics of calculus if 1 + 1 <> 2? (i.e. <> means "not equal to")

of course, one would need to change the answers to each and every single addition problem in calculus, and since multiplication is also repeated addition, that would also require that you change your answers to each and every single multiplication problem. also, since division and subtraction are just inverse operations for multiplication and addition, respectively, that would again require you to change your answers to each and every single division and subtraction problem.

would you also need to change your answers to each and every problem on exponentiation and root extraction? the answer is a resounding "YES!".

the reason is because the statement "1 + 1 = 2" is as basic to mathematics as breathing is to man. if 1 + 1 equaled some number other than 2, then I guess you would have to recast your entire mathematical knowledge in light of this "new development".

Answer 2

Calculus is based on real numbers properties.
There are axioms that are used to validate their behavior.
So long as the axioms are not contradicted by any result, Mathematics is logical.
As we have defined 2 as an increment of 1, so should it be.
Changing this will render the very base of numbers, functions, calculus illogical.
We have change the axioms and accordingly modify whole Mathematics.

Answer 3

1. Date one of them for an hour, I'd rather spend an hour with them, then just 1 kiss. 2. E-mail address, so I can keep in contact with them. 3. That's a hard one, but I think I'd rather have Nick say I'm pretty. 4. Meet them and get hugged, that would be amazing! 5. Haha, I love this question and the obvious answer is marry a Jonas. . . either Nick or Joe will do, I'm not that picky lol! Good job, I loved it! Cool Survey! I'd love to see another! Peace Love Jonas! =]

Answer 4

Hi. Nothing. 1 + 1 = 10 in binary. The fact that we have 10 fingers to count on has no impact on the concept of any kind of math, calculus included.

Answer 5

Nothing. 1+1 actually can give other numbers in different systems. But since it's mathematically proved that 1+1=2 then the whole system is correct.

Answer 6

1 + 1 = 2 (assume base is 3 or more)

1 + 1 = 10 (assume base is 2)

ie whenever it reaches the base, it becomes 0 and add 1 to the next colum.

1 + 1 = 11 (in computer joining both numbers which are treated as alphabets)

tutoronline...

Answer 7

Nothing. Calculus operates on not on the definition of numbers, but the way in which we operate upon them. If for some reason the meaning of addition changed, then we would have to modify our thinking of how we operate upon numbers and adjust the calculus to match.

Answer 8

Nothing

1+1 = 0 ( in Z/2Z )
1+1 = 3 ( in marriage )

Answer 9

ya u are rite... but u see the number system are just the representation of some quantity or any other physical representation..... so even if u r number system is different but it is just the different name u are gonna refer the same quantity...
say 1+1=3 which means u are just referring the the incremental quantity by a symbol by 3... that's it but in reality if have one one thing in u r hand and the same thing in the other hand to and if u add it it's gonna be just twice .... it'll neither gonna be increased or decreased

Answer 10

Nothing.

Saying that 1+1 equals anything other than 2 is just a meaningless statement. It's nonsensical, and therefore irrelevent.