An outdated look to philosophy and science - Einstein, Parmenides, Wittgenstein, Socrates, Poincaré, Zeno, Cantor- after Giorgio Colli - Uno sguardo inattuale alla filosofia e alla scienza - Einstein, Parmenide, Wittgenstein, Socrate, Poincaré, Zenone, Cantor- dopo Giorgio Colli
sabato 15 ottobre 2016
What I can imagine and what I cannot --
I can imagine something that I have never seen, or even something that does not exist.
But I can imagine anything? Maybe not.
For example I cannot imagine a stick that does not have a length.
I can imagine a stick length which constantly changes, so that it becomes impossible to measure. But a stick without length, no.
And that may be because I have a limited imagination or, rather, because that rod length is not really logically impossible?
But Euclid, in the parallel world of geometry, was able to think of a point without dimensions, without a thick line, a circle, surrounding a circle, but which adds nothing to the size of that.
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