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33person · 26-30, M
As a math graduate student, I can honestly tell you that math is an endless cycle of discovery and invention. You discover a reality, and then you create some label or notation for it. Then you use that notation or label, apply logic, and you discover a new reality. Now you invent a label for that reality. Rinse and repeat.
@helenS Transcendental numbers often reflect a certain mathematical reality such as the ratio of the length of a circle to its diameter (pi) or the ratio of the length of a diagonal of a square to a side (square root of 2).
Was mathematical reality invented? No but the notation or words we use to refer to mathematical reality are clearly invented and somewhat arbitrary.
Was mathematical reality invented? No but the notation or words we use to refer to mathematical reality are clearly invented and somewhat arbitrary.
helenS · 36-40, F
@Alfred22 sqrt(2) is not a transcendental number, because it's one of the 2 solutions of the equation
"x^2 – 2 = 0".
It's an irrational number though, or, more specifically, an algebraic number; see, for example,
https://www.mathsisfun.com/numbers/algebraic-numbers.html
Helen the smartass
"x^2 – 2 = 0".
It's an irrational number though, or, more specifically, an algebraic number; see, for example,
https://www.mathsisfun.com/numbers/algebraic-numbers.html
Helen the smartass

SomeMichGuy · M
@helenS Apparently Kronecker thinks God doesn't understand circles...or waves...or...
helenS · 36-40, F
@SomeMichGuy Sorry but I don't understand. Kronecker??
SomeMichGuy · M
@helenS ? Refer to your quote of Kronecker...
helenS · 36-40, F
@SomeMichGuy Oh – now I get it. Thank you! 

SomeMichGuy · M
@helenS
np and ebenfalls ⚘
