Mathematicians Of The Day

16th February

Quotation of the day

From Yuri Ivanovich Manin
The goal of a definition is to introduce a mathematical object. The goal of a theorem is to state some of its properties, or interrelations between various objects. The goal of a proof is to make such a statement convincing by presenting a reasoning subdivided into small steps each of which is justified as an "elementary" convincing argument.
To put it simply, we first explain what we are talking about, and then explain why what we are saying is true (pace Bertrand Russell).
Mathematical knowledge: internal, social and cultural aspects.