Are there more algebraic numbers or transcendental numbers? How do I prove that?

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- Feb 10th 2011, 02:23 PMrickytranscendental numbers
Are there more algebraic numbers or transcendental numbers? How do I prove that?

- Feb 10th 2011, 02:42 PMDrSteve
In your last post you asked to show that the set of algebraic numbers is countable (which it is). The real numbers are uncountable. Since the reals are the union of the algebraic and transcendental numbers, the set of transcendental numbers must be uncountable.