Jean Piaget, an influential developmental psychologist, argued that every time children learn something before they have the chance to discover it by themselves, they lose the opportunity to make sense of it on their own, and subsequently fully understand it. Studying without a teacher gives …

Infinity in mathematics: a disgrace to some mathematicians, and a greatly interesting concept to others. The well-respected German mathematician Johann Carl Friedrich Gauss (1777–1855) stated that infinity should never be permitted in mathematics. René Descartes (1595–1650) thought that because humans are finite …