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).
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 v… - Iu?. I. 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 v…
- Iu?. I. Manin
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). - Iu?. I. Manin
Most likely, logic is capable of justifying mathematics to no greater extent than biology is capable of justifying life. - Iu?. I. Manin
Most likely, logic is capable of justifying mathematics to no greater extent than biology is capable of justifying life.
A good proof is one that makes us wiser. - Iu?. I. Manin
A good proof is one that makes us wiser.
Of the properties of mathematics, as a language, the most peculiar one is that by playing formal games with an input mathematical text, one can get a… - Iu?. I. Manin
Of the properties of mathematics, as a language, the most peculiar one is that by playing formal games with an input mathematical text, one can get a…
A proof only becomes a proof after the social act of "accepting it as a proof". - Iu?. I. Manin
A proof only becomes a proof after the social act of "accepting it as a proof".
What binds us to space-time is our rest mass, which prevents us from flying at the speed of light, when time stops and space loses meaning. In a worl… - Iu?. I. Manin
What binds us to space-time is our rest mass, which prevents us from flying at the speed of light, when time stops and space loses meaning. In a worl…
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