Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true of all natural numbers. The method can be extended to prove statements about more ...

Mathematical logic and set theory provide the foundational language for modern mathematics, articulating precise notions of proof, computability and the hierarchy of infinities. Central themes include ...

IT is recorded that when a pupil asked Confucius what he would do first if he had absolute power, the Master replied “I should reform language”. (The development of the theme in the text of the ...