"" > > The integral well defines a value (and so can a limit by the way). > > No and NO and NO again. An improper integral is a limit and limits require the existence of "irrational numbers" which DO NOT exist. Therefore, there is no > measure and hence no number.""
What you call measure is completely irrelevant for the definition of a mathematical element. And obviously irrational numbers exist. To deny their existance means basically to deny the existance of infinite sequences and there is no basis for that.
>"" > > There is no other value that integral could have than pi, so it defines it. > > Idiot. If a limit is not a rational number, then it is NOT a number. The only numbers are RATIONAL numbers. There are NO other numbers. Deal with it moron. > > In mathematics, we talk about things being well defined. A number is well defined as the measure of a magnitude. > ""
What you call number is irrelevant for mathematics. Pi is a proper and well defined element of the ring of real numbers.
In mathematics, your definition of measure and number both have absolutely no place, because they are bad and lead to nothing.
If you want, yes, say that after your definition, pi is not a number. It is not like anyone cares what you think is a number because pi as a ring element is absolutely well defined and useful.
"" > You are not a mathematician and have ZERO qualifications in mathematics. Plainly, you are an idiot. > ""
I got a degree unlike you, which qualifies me to teach you.