To put it simply, we first explain what we are talking about, and then explain why what we are saying is true… — IU?. I. Manin Firsts Copy Share Image
What binds us to space-time is our rest mass, which prevents us from flying at the speed of light, when time stops… — IU?. I. Manin Capable Copy Share Image
The goal of a definition is to introduce a mathematical object. The goal of a theorem is to state some of its… — IU?. I. Manin Argument Copy Share Image
Most likely, logic is capable of justifying mathematics to no greater extent than biology is capable of justifying life. — IU?. I. Manin Biology Copy Share Image
Of the properties of mathematics, as a language, the most peculiar one is that by playing formal games with an input mathematical… — IU?. I. Manin Calculations Copy Share Image
A proof only becomes a proof after the social act of "accepting it as a proof". — IU?. I. Manin Accepting Copy Share Image
