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

[Into the Night]

It is a number to those who have conceptualized it as such.

Not a number.

 

[Into the Night]

There are infinite integers. There are also infinite natural numbers. The quantity of natural numbers and the quantity of integers is equal.

Nan.

In fact, the individual quantities of natural numbers, whole numbers, integers and rational numbers are all equal, called denumerably infinite.

Nan.

The quantity of irrational numbers and of real numbers, however, while also being infinite, is of a larger infinity than the denumerably infinite, and it is called nondenumerably infinite.

Nan.

Now that you have learned this, you probably want to adopt an endangered baby harp seal.

Random phrase ignored.

 

[IBDaMann]

Many polynomial equations do not have solutions on the real number number line.

Totally irrelevant.

You have two choices.

False. There is only one correct solution set.

Throw up your hands in surrender and declare that most polynomial equations are unsolvable and simply have no solutions.

Incorrect. This is not a valid option. No one gets to declare that an entirely solvable polynomial is somehow not solvable.

Or you can open your mind to the mind to the possibility that your concept of abstract numbers was too limited, and there exists a whole other abstract concept of number on the complex plane.

False. My grasp of complex systems is already solid, and it is also irrelevant. You need to stop denying math and accept the invalidity of taking the square roots of negative numbers.

 

[IBDaMann]

Nan.

It is a quantity. Integers (as well as natural numbers, whole numbers, and rational numbers) are countable.

Nan.

It is a quantity. Integers (as well as natural numbers, whole numbers, and rational numbers) are countable.

Nan.

It is a quantity. Integers (as well as natural numbers, whole numbers, and rational numbers) are countable.

Random phrase ignored.

Random phrase ignored.

 

[IBDaMann]

Not a number.

Definitely a quantity.

 

[Into the Night]

It is a quantity. Integers (as well as natural numbers, whole numbers, and rational numbers) are countable.

NaN is not a quantity.

It is a quantity. Integers (as well as natural numbers, whole numbers, and rational numbers) are countable.

Nan is not a quantity.

It is a quantity. Integers (as well as natural numbers, whole numbers, and rational numbers) are countable.

Nan is not a quantity.

Random phrase ignored.

LIF. Grow up.

 

[Into the Night]

Definitely a quantity.

Nan is not a quantity.

 

[AProudLefty]

Incorrect. According to mathematics, the square root of negative numbers cannot be taken. Of course, you never learned this because you never finished middle school where this is taught to all children. Stay in school in your next life, no matter how difficult learning is for you.

All you had to do was to research the mathematical proof showing that it is invalid to take the square root of negative numbers, but as you continue to demonstrate, learning is too difficult for you. You would rather deny mathematical proofs.


It's not allowed.


You are denying math because you are too lazy to learn and because you will believe anything you read on the internet.


Yes. Irrelevant. It is not permissible to take the square root of a negative number.

And yet it is done and there are plenty of applications.