IU?. I. Manin Quotes

Most likely, logic is capable of justifying mathematics to no greater extent than biology is capable of justifying life.

A proof only becomes a proof after the social act of "accepting it as a proof".

A good proof is one that makes us wiser.

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).

Have you ever struggled to find work or love, only to find them after you have given up? This is the paradox of letting go. Let go, in order to achieve. Letting go is God's law.

You block your dream when you allow your fear to grow bigger than your faith.