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Do all known algorithms that generate infinitely many transcendental numbers like Gelfond-Schneider or Liouville only generate countably many? If uncountably many, is this set of measure zero?

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    You shouldn't write "infinite transcental numbers" if you mean infinitely many transcendental numbers. "Infinite transcendtal numbers" means transcendental numbers each one of which, by itself, is infinite. Gelfond-Schneider doesn't generate any infinite numbers.2012-12-27
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    If a computer can generate the numbers (in some listed order), then it is countable.2012-12-27
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    Title needs fixing, all the known things are countable, transcendental or not.2012-12-27

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