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math.HO2024★ 12 cited
Constructive Mathematics
Mark Mandelkern
An age-old controversy in mathematics concerns the necessity and the possibility of constructive proofs. The controversy has been rekindled by recent advances which demonstrate the…
math.HO2024
The altitudes of a triangle
Mark Mandelkern
A long-standing, unanswered question regarding Euclid's Elements concerns the absence of a theorem for the concurrence of the altitudes of a triangle, and the possible reasons for…