fredilo

30 ms·

1.
by fredilo 7mo ago
> Can't a textual description be infinitely long? That's a good question. The usual answer is no. The idea is that every book/description that has ever been written can be seen as string of finite length over a finite alph
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by fredilo 7mo ago
If you say that humanity will end at some point, then yes, there is only a finite number of people. This, however, does not go against my overall argument. In that case, you end up with a finite number of thoughts. That's even smaller
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by fredilo 7mo ago
The real numbers have some very unreal properties. Especially, their uncountable infinite cardinality is mind boggling. A person can have a finite number of thoughts in his live. The number of persons that have and will ever live is countab
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by fredilo 1y ago
> The maintainer could just write a wrapper around malloc that crashes on failure and replace all calls with the wrapper. It seems like an easy fix. Because almost no software can run where there is no heap memory so it makes no sense fo
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by fredilo 2y ago
What is surprising and what not is always very subjective. Now that I think more about it, one could argue that everything you can do with inverting radicals can also be done by inverting polynomials. So You could look at radicals as the st
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by fredilo 2y ago
> interestingly enough, one of my colleagues thinks very strongly that intuition should not be shared, and the path to intuition should be walked by everyone so that they ´ Make their own mental images ´. I guess that there’s a tradeoff
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by fredilo 2y ago
Formulated differently, you cannot determine left- and right-handedness but you can determine same-handedness.
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by fredilo 2y ago
I should probably add why I think the motivation is so important here. For pure engineers, numbers are a tool. They ask: What can I build with numbers? Pure mathematicians ask a different question. They are interested in the limits of numbe
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by fredilo 2y ago
What it states is correct and it gives you a good overview over what you do in a Galois theory course. It does, however, not give you an idea of why this is interesting. When just reading that article one might get the idea that some mathem
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by fredilo 2y ago
The sentence you quote actually gives you the answer to your question but it is not completely obvious why. :) The complex numbers are essentially the theory of 2D-space. You are asking about 3D-space. The statement that you quoted tells yo
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by fredilo 2y ago
Superb question! Interestingly, my math professor asked the exact same question after teaching Galois theory and stated that he does not have a good answer himself. Let me try to give sort of an answer. :) We have fingers. These we can coun