Necessity of euclidean geometry for deriving the existence of irrational numbers

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It is stated that the curved nature of space "implies a certain non-existence of continuous mathematics in the real world given that euclidean geometry is required to derive the existence of irrational numbers" with a reference to Analysis by Terence Tao (misspelled as "Terrance"). The closest I could find to this statement in this reference is the following: "... there is a fundamental area of mathematics where the rational number system does not suffice - that of geometry." This does not mean that geometry is necessary for the existence of irrational numbers and nothing is stated specifically about euclidean or non-euclidean geometry.

I've removed the statement: Special:Diff/981802647. SemperVinco (talk) 14:33, 4 October 2020 (UTC)Reply