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". - Iu?. I. Manin
A proof only becomes a proof after the social act of "accepting it as a proof".
- 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
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…
A good proof is one that makes us wiser. - Iu?. I. Manin
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). - 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).
Most likely, logic is capable of justifying mathematics to no greater extent than biology is capable of justifying life. - 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… - 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…
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…
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