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What is infinity plus 1?

Updated: 4/28/2022
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14y ago

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Infinity is not a number. It is another way of saying that something gets larger and larger without an end. So, you cannot add 1 to some thing which is not a number. However, in mathematics, there are infinities that could be added, multiplied, or subtracted. There are cardinal, ordinal, surreal and hyperreal numbers to all of which 1 can be meaningfully added. For infinite cardinal numbers, adding one does not change the number. For ordinal numbers, the number can be changed depending on whether you add 1 to the number, or the number to 1 - there is no commutativity. With hyperreal numbers, one can do pretty much anything one would expect of a real number. As to the surreal ones, the arithmetic operations produce magic results increasing the number of various infinities to fantastic proportions. In general, to add 1 to a number means to take the successor of that number. The successor of a set A is the set which consists of all the elements of A along with A itself. In other words the successor of A is A U {A}, and it has "one" more element than A. So, infinity + 1 = infinity U {infinity}.

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What is infinity plus infinity?

infinity


What is negative infinity plus negative infinity?

Negative infinity plus negative infinity equals negative infinity.


What is infinity divided by 5?

Infinity divided by any finite number is infinity. Here are the rules: 1. Infinity divided by a finite number is infinite (I / f = I); 2. Any finite number divided by infinity is a number infinitesimally larger than, but never equal to, zero (f / I = 1 / I); 3. Infinity divided by infinity is one (I / I = 1), or in fact any other positive number (I / I = and so on...); 4. Infinity multiplied by zero (no infinity) is zero (I * 0 = 0); 5. Infinity divided by a positive finite number is infinity (I / +f = I); 6. Infinity divided by a negative finite number is minus infinity (I / -f = -I); 7. Infinity divided by zero is not possible; 8. Infinity plus infinity is infinity (I + I = I); 9. Zero divided by infinity (nothing divided into infinity) equals zero (0 / I = 0); 10. Infinity plus a finite number is infinity (I + f = I); 11. Infinity minus a finite number is infinity (I - f = I); but 12. Infinity minus infinity, due to the nature of infinity, can be zero, infinity, or minus infinity (I - I = -I, 0, I).


What is the range of sin -1?

If you mean the arcsin function then the range is the whole of the real numbers - from "minus infinity" to "plus infinity". If you mean the cosecant function, the answer is the whole of the real numbers excluding (-1, 1).


What is the highest number besides infinity?

Infinity is a concept, not a number. Even if it were considered such, infinity plus one is also infinity, and so infinity minus one is still infinity.

Related questions

Would infinity over infinity plus 1 be less than 1 as a fraction with infinity plus one as the denominator and infinity as the numerator?

"Infinity + 1" is meaningless both mathematically and philosophically.


If you add 1 to infinti would it equal the same as infinti plus 1 billion?

There is no such thing as infinity plus 1. You can not add to infinity.


What is infinity plus in infinity?

Infinity plus infinity is without beginning nor ending


What is infinity plus infinity?

infinity


What is negative infinity plus negative infinity?

Negative infinity plus negative infinity equals negative infinity.


What is infinity times plus one?

infinity!


What is e to the power plus infinity?

infinity


Domain of t squared plus 1?

If t is real then [1 to infinity) ie all real numbers from 1 to infinity, including 1 but not infinity. If t is in the complex plane then the domain of t^2+1 is also the complex plane.


IS THERE SUCH A THING AS INFINITY NO, BECAUSE YOU CAN ALWAYS SAY INFINITY PLUS ONE?

NO BECAUSE YOU CAN ALWAYS SAY INFINITY PLUS ONE!


What is the limit as x approaches infinity of x plus x to the 3rd power plus x to the 5th power all divided by 1 - x to the 2nd power plus x to the 4th power?

Infinity.


What is the number after infinity?

Infinity is as big as you can get, so there is no number after it.There is also a "negative infinity" going the other way, so the total number of integers could be considered as two infinity (2 x ∞), or two ∞ plus 1 if you include zero. But usually infinity is defined to include the entire set of integers.* * * * *Except that infinity plus infinity, or even infinity times infinity is still infinity. However, infinity to the power of infinity is a higher level of infinity (Aleph1 rather than Aleph0). And if that does not do your head in, there is a lot more to the mathematics of infinities.


Is negative infinity plus negative infinity negative 7?

It Is