- #1

- 67

- 2

By complex numbers I don't mean their modulus, I mean just the raw complex numbers.

- Thread starter quawa99
- Start date

- #1

- 67

- 2

By complex numbers I don't mean their modulus, I mean just the raw complex numbers.

- #2

jbriggs444

Science Advisor

Homework Helper

- 9,459

- 4,153

A longer answer is that the complex numbers together with the standard operations of addition and multiplication form a "field". But there is no greater-than relation that can be used to make it an "ordered field". http://en.wikipedia.org/wiki/Ordered_field

The problem comes when you try to decide whether i is positive or negative. i is different from zero, so it has to be either positive or negative. If it is positive then i*i must be positive. But i*i=-1 and -1 is negative. If i is negative then -i must be positive. So -i*-i must be positive. But -i*-i=-1 and -1 is negative.

- Last Post

- Replies
- 6

- Views
- 697

- Last Post

- Replies
- 3

- Views
- 4K

- Last Post

- Replies
- 3

- Views
- 509

- Last Post

- Replies
- 13

- Views
- 8K

- Last Post

- Replies
- 9

- Views
- 845

- Last Post

- Replies
- 1

- Views
- 1K

- Replies
- 3

- Views
- 1K

- Replies
- 8

- Views
- 8K

- Last Post

- Replies
- 1

- Views
- 1K

- Last Post

- Replies
- 1

- Views
- 1K