Changes

::::Actually, you can express any amount of currency with rational numbers.  That doesn't make the real numbers any less "real," does it?  Using your logic, I could say "Pi is a real number.  What does pi dollars mean?  Nothing. Therefore, the real numbers don't exist."  Again, imaginary numbers are ''not'' "just imaginary." They exist just as much as any other number, and have several practical applications.--[[User_talk:Recorder|Recorder]] 17:21, 17 August 2008 (EDT)

::::Actually, you can express any amount of currency with rational numbers.  That doesn't make the real numbers any less "real," does it?  Using your logic, I could say "Pi is a real number.  What does pi dollars mean?  Nothing. Therefore, the real numbers don't exist."  Again, imaginary numbers are ''not'' "just imaginary." They exist just as much as any other number, and have several practical applications.--[[User_talk:Recorder|Recorder]] 17:21, 17 August 2008 (EDT)

::::For currency, you use a subset of the rational numbers, i.e., finite decimal fractions (even less, generally: <math>\mathbb{Z} / 100</math>. To speak of <math>\pi</math> dollars (or even $<math>\sqrt{2}</math>) is as surreal as to speak of ''3 + 2i'' dollars. ''Real numbers'' which aren't rational, are just a figment of our imagination, invented to ''help our calculations'', too--[[User:DiEb|DiEb]] 17:25, 17 August 2008 (EDT)

::::For currency, you use a subset of the rational numbers, i.e., finite decimal fractions (even less, generally: <math>\mathbb{Z} / 100</math>. To speak of <math>\pi</math> dollars (or even $<math>\sqrt{2}</math>) is as surreal as to speak of ''3 + 2i'' dollars. ''Real numbers'' which aren't rational, are just a figment of our imagination, invented to ''help our calculations'', too--[[User:DiEb|DiEb]] 17:25, 17 August 2008 (EDT)