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I mean what you say is trivially true. Give me a number r in R. I will call that number h. That’s not really interesting.
by rcme 4y ago
I mean what you say is trivially true. Give me a number r in R. I will call that number h. That’s not really interesting.
- tshaddox 4y agoIt’s interesting only as a refutation of the original quote: > consider the set of numbers that cannot be described using any finite collection of symbols. Such numbers must exist because there are only a countably infinite number of numbers that can be described using a finite collection of symbols, but there are an uncountably infinite number of real numbers.
- rcme 4y agoYou’re misunderstanding the quote. It’s not saying that you can’t name any individual number. It’s saying that any scheme you can think of to name numbers involving a finite number of symbols will have numbers that can’t be expressed in that scheme.