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- Mathematics began as a way to quantify our world, to measure land, predict the motions of planets, and keep track of commerce. Then came a problem considered impossible. The secret to solving it was to separate math from the real world, to split algebra from geometry and to invent new numbers so fanciful they are called imaginary. Ironically, 400 years later, these very numbers turn up in the heart of our best physical theory of the universe. Only by abandoning maths connection to reality could we discover realitys true nature. (light music) In 1494, Luca Pacioli who is Leonardo da Vincis math teacher publishes Summa de Arithmetica, a comprehensive summary of all mathematics known in Renaissance Italy at the time. In it, theres a section on the cubic, any equation which today we would write as ax cubed plus bx squared plus cx plus d equals zero. People have been trying to find a general solution to the cubic for at least 4,000 years, but each ancient civilization that encounte