TED-Ed: Is math discovered or invented? - Jeff Dekofsky

The video explores the age-old debate on whether mathematics is discovered or invented. It presents historical perspectives from ancient philosophers like the Pythagoreans, Plato, and Euclid, who viewed math as a real and independent entity. In contrast, others like Kronecker and Hilbert saw it as a human invention. The video also highlights the effectiveness of math in explaining the universe, citing examples like Hardy's number theory and Fibonacci's sequence. It concludes by reflecting on the philosophical and spiritual nature of this debate.

What is the significance of Eugene Wigner's phrase 'the unreasonable effectiveness of mathematics'?

How did Gottfried Hardy's work in number theory later find practical applications?

What philosophical questions does the text raise about the existence of mathematical concepts?