Dolan42 wrote:
What about imaginary numbers? Or even better, complex numbers?
The problem with complex numbers is there is no way to compare them in the general case, much like you cannot compare vectors in the general case. Given z₀, z₁ ∈ ℂ, it is never correct to say z₀ >
z₁ , or z₁ >
z₀, unless it happens both z₀, z₁ are actually in ℝ.
Therefore, the fact that comparisons have been made comparing real numbers (guesses) to his number, we can be sure his number is in the real numbers, at least.
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