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Mathematics
Quick fact
Dedekind cuts rigorously construct all real numbers from rationals by partitioning them into two sets. For example, the cut defined by {q ∈ ℚ : q < 0 or q² < 2} uniquely identifies the irrational number √2.
Why this is interesting
You know √2 is a number—but where does it actually live? The rational line has a gap where it should be, and Dedekind cuts are the mathematical trick that fills that gap.
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Subjects · study & training · careers
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