"The true metaphysics of the square root negative 1 remains elusive." - C.F. Gauss

T. A. Gardner said:
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I know, it seemed bizarre even in high school precalculus. What a mess!
The graphs and trigonometric functions are necessary because the complex numbers by convention exists on a plane outside the real number line, and their values can be represented by angles and trig functions. I never took linear algebra, so I don't understand how the matrix represents i.

There are algebraic polynomials that do not have solutions using the real numbers from the traditional real number line, they only have solutions that lie on the complex numbers plane. That's why the universe of numbers extends into a two dimensional plane off of the real number line.

The thing that interests me is the question about whether these imaginary numbers are just conveniences that simplify calculations, or whether they have an independent connection to reality.

It's at least as interesting a question as transgender athletics and drag queen shows, but maybe that's just me!
 
Cypress said:
I know, it seemed bizarre even in high school precalculus. What a mess!
The graphs and trigonometric functions are necessary because the complex numbers by convention exists on a plane outside the real number line, and their values can be represented by angles and trig functions. I never took linear algebra, so I don't understand how the matrix represents i.

There are algebraic polynomials that do not have solutions using the real numbers from the traditional real number line, they only have solutions that lie on the complex numbers plane. That's why the universe of numbers extends into a two dimensional plane off of the real number line.

The thing that interests me is the question about whether these imaginary numbers are just conveniences that simplify calculations, or whether they have an independent connection to reality.

It's at least as interesting a question as transgender athletics and drag queen shows, but maybe that's just me!
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Well, I explained the least the with the Schrodinger's Gender theorem. In that, you don't know the person's gender until you pull down their pants! :awesome:
 
T. A. Gardner said:
Well, I explained the least the with the Schrodinger's Gender theorem. In that, you don't know the person's gender until you pull down their pants! :awesome:
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A clever theory.
Human brains have a hard time accepting abstract and unconventional ideas about numbers. The Pythagoreans were convinced only integers and fractions were the only real numbers. When they discovered the square root of two they didn't want to accept it because irrational numbers made no sense to them.
 
If imaginary numbers are required to bring order one has to wonder if something upstream is incorrect.
 
Cypress said:
The question being studied is whether we introduced imaginary numbers to quantum equations by coincidence, as an artifact of the way we constructed the theory, or whether imaginary numbers have some independent tangible connection to reality on their own.
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What imaginary numbers???
 
Cypress said:
I know, it seemed bizarre even in high school precalculus. What a mess!
The graphs and trigonometric functions are necessary because the complex numbers by convention exists on a plane outside the real number line, and their values can be represented by angles and trig functions. I never took linear algebra, so I don't understand how the matrix represents i.

There are algebraic polynomials that do not have solutions using the real numbers from the traditional real number line, they only have solutions that lie on the complex numbers plane. That's why the universe of numbers extends into a two dimensional plane off of the real number line.

The thing that interests me is the question about whether these imaginary numbers are just conveniences that simplify calculations, or whether they have an independent connection to reality.

It's at least as interesting a question as transgender athletics and drag queen shows, but maybe that's just me!
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Random phrases and buzzwords. No apparent coherency.
 
Cypress said:
A clever theory.
Human brains have a hard time accepting abstract and unconventional ideas about numbers. The Pythagoreans were convinced only integers and fractions were the only real numbers. When they discovered the square root of two they didn't want to accept it because irrational numbers made no sense to them.
Click to expand...
Random phrases. No apparent coherency.
 
Cypress said:
In the grand scheme of things this more important and consequential than whether some transgender swam for a women's team.
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Daylight63 said:
LOL.

You are hilarious. You aren't going to discuss anything. You're just going to quote mathematicians you don't even understand.

Everyone knows this. Everyone's seen it before with you.

This is literally all you ever do when you aren't conspiring with Dutch Kunckle to attack other posters.
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You"re correct, D63. If Cypuss was actually serious about discussing this he wouldn't be here. There are actual specific forums that have substantial discussion on this topic.
This place is 90% 96% political hacks.
 
anonymoose said:
You"re correct, D63. If Cypuss was actually serious about discussing this he wouldn't be here. There are actual specific forums that have substantial discussion on this topic.
This place is 90% 96% political hacks.
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High school math and poplar science articles don't appeal to you, don't click on the thread.

But you are always reading my threads, so obviously you find them appealing.

Explain to the board why this forum has religion, philosophy, and off-topic subforums if we aren't allowed to use them, according to you.
 
Into the Night said:
Stop evading. What imaginary numbers???
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Square root of negative one, i which forms the basis for complex numbers.

We learned in 11th grade that complex numbers are the solutions to polynomial equations that have no solution on the real number line. Did you not take any math in 11th and 12th grade?
 
ULTRA MAGA said:
If imaginary numbers are required to bring order one has to wonder if something upstream is incorrect.
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I doubt it means there is anything wrong with the underlying basis of theoretical physics. The question that's interesting here is whether it's just an abstract mathematical convenience, or if it has a tangible connection to reality the way pi and e do.
 
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