Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**calculator****Member**- Registered: 2013-11-06
- Posts: 3

Do you ever think there would be a second imaginary number? A one about x/0? There could be one, since √-1 was once thought to be impossible.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,645

Hi calculator;

One problem with x / 0 is that when we have

we can multiply that 3 on both sides and it makes sense.

6 does equal 2 * 3. But since we agree that 0 x anything = 0 let's see what happens. Supposing we say

we multiply by 0 on both sides and get the contradictory statement that 6 = n * 0 when we already know that anything times 0 is 0.

So, I would say you will never see that definition changed.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

Offline

Those arithmetic are clearly not working with x/0 but that does not stop you from calling it an imaginary number.

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,645

It is undefined. Imaginary number was a term used for a complex number.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

Offline

I meant, a new kind of a number

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

I'm not crazy, my mother had me tested.

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 105,645

It leads to too many contradictions to call it anything.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

Offline

Pages: **1**