| Infinity ... | |
| ... it's not big ... | |
| ... it's not huge ... | |
| ... it's not tremendously large ... | |
| ... it's not extremely humongously enormous ... | |
| ... it's ... |
Endless!
Infinity is not a real number
Infinity is not a real number, it is an idea. An idea of something without an end.Infinity cannot be measured.
Even these faraway galaxies can't compete with infinity.
Here are some more properties:
| Special Properties of Infinity |
|---|
| ∞ + ∞ = ∞ |
| -∞ + -∞ = -∞ |
| ∞ × ∞ = ∞ |
| -∞ × -∞ = ∞ |
| -∞ × ∞ = -∞ |
| x + ∞ = ∞ |
| x + (-∞) = -∞ |
| x - ∞ = -∞ |
| x - (-∞) = ∞ |
| For x>0 : |
| x × ∞ = ∞ |
| x × (-∞) = -∞ |
| For x<0 : |
| x × ∞ = -∞ |
| x × (-∞) = ∞ |
Undefined Operations
All of these are "undefined":| "Undefined" Operations |
|---|
| 0 × ∞ |
| 0 × -∞ |
| ∞ + -∞ |
| ∞ - ∞ |
| ∞ / ∞ |
| ∞0 |
| 1∞ |
Example: Isn't ∞ / ∞ equal to 1?
No, because we really don't know how big infinity is, so we can't say that two infinities are the same. For example ∞ + ∞ = ∞, so
And that doesn't make sense!
I could have also made 1=3 and so on ... so we say that ∞ / ∞ is undefined.
No, because we really don't know how big infinity is, so we can't say that two infinities are the same. For example ∞ + ∞ = ∞, so
| ∞ | = | ∞ + ∞ | which would mean that: |
1 | = | 2 |  |
| ∞ | ∞ | 1 | 1 |
I could have also made 1=3 and so on ... so we say that ∞ / ∞ is undefined.
