Monster Group (John Conway) - Numberphile
video description
There's only 8 zeros at the end of the number on screen. Tim said there were 9. I bet he's correct, I wouldn't be surprised if he's got the thing memorized.
The thing I find interesting is dammit,
I can't stop my head from finding trivial typos. Nuts!
I wish they'd stop jumping out at me. Happens all the time. And I always feel like if I point them out, a producer will say -Thanks for picking up on that! -, but it never happens. Glad I don't lose any sleep over that, I just wish they'd
Stop Jumping Out At Me!
: -): -)
Date: 2022-04-08
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Comments and reviews: 9
J010011113
I've read the comments and think I've grasped at least the rudiments of this fine explanation.
I am still a little fuzzy on what's meant by a -structure- and, I suppose, by extension a -dimension-.
The question that occurs to me is why couldn't the largest monster group just be a representation of that multidimensional space itself and not (obviously) a conventional -structure- but the shape of the space that would necessarily contain all these?
Am I viewing this with an incorrect perspective?
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I've read the comments and think I've grasped at least the rudiments of this fine explanation.
I am still a little fuzzy on what's meant by a -structure- and, I suppose, by extension a -dimension-.
The question that occurs to me is why couldn't the largest monster group just be a representation of that multidimensional space itself and not (obviously) a conventional -structure- but the shape of the space that would necessarily contain all these?
Am I viewing this with an incorrect perspective?
reply
Charlie
He didn't ask how difficult it is to say what the symmetry object is. He asked what the symmetry object is. Also, the mathematician claims there is a symmetry of a symmetry object, but when asked what the symmetry object is, he doesn't say what the symmetry object is. If he was at a police interrogation, I think he would already fall through. Why are mathematicians allowed such an argumentation?
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He didn't ask how difficult it is to say what the symmetry object is. He asked what the symmetry object is. Also, the mathematician claims there is a symmetry of a symmetry object, but when asked what the symmetry object is, he doesn't say what the symmetry object is. If he was at a police interrogation, I think he would already fall through. Why are mathematicians allowed such an argumentation?
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Nathan
I believe I have the answer to wether math is discovered or invented.
Clearly it's both. It's a language invented to describe things we observe, in a way that is generic enough that it can be applied to things that weren't observed, or cannot be observed.
Simple enough. The short version is: it's a language.
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I believe I have the answer to wether math is discovered or invented.
Clearly it's both. It's a language invented to describe things we observe, in a way that is generic enough that it can be applied to things that weren't observed, or cannot be observed.
Simple enough. The short version is: it's a language.
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Whittingtons
I love the chilled out and easygoing explanations in these vids - thanks a lot! Though the Monster only exists in Higher Dimensional Space, is it still possible to express it as a set of permutation cycles? If so, presumably it is a subgroup of one of the symmetric groups. but a symmetric group of what degree?
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I love the chilled out and easygoing explanations in these vids - thanks a lot! Though the Monster only exists in Higher Dimensional Space, is it still possible to express it as a set of permutation cycles? If so, presumably it is a subgroup of one of the symmetric groups. but a symmetric group of what degree?
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Charlie
I think it's wrong. When you write numbers to the corners to the triangle, the thing WILL STOP being symmetric. Because after the rotation the numbers are in different places and also turned so they don't match the previous state! It's important that the triangle is bare to be symmetric.
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I think it's wrong. When you write numbers to the corners to the triangle, the thing WILL STOP being symmetric. Because after the rotation the numbers are in different places and also turned so they don't match the previous state! It's important that the triangle is bare to be symmetric.
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ganondorfchampin
I think the existence of the monster group is just a side effect from the particular scheme we decided to use to classify groups. I think an alien civilization may invent an entirely different classification scheme for the finite simple groups, if they even have such a concept.
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I think the existence of the monster group is just a side effect from the particular scheme we decided to use to classify groups. I think an alien civilization may invent an entirely different classification scheme for the finite simple groups, if they even have such a concept.
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Little
Yeah, im gonna stop listening before mu child brain implodeds due to all the kknowledge or before anything else happens, (like somehow becoming a 4th dimensional being) which i know is impossible but still, might be a 1 in 100 trigintillion maybe
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Yeah, im gonna stop listening before mu child brain implodeds due to all the kknowledge or before anything else happens, (like somehow becoming a 4th dimensional being) which i know is impossible but still, might be a 1 in 100 trigintillion maybe
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Scott
I once went to Princeton and was thinking about moving there. hoping for a friendly sign that I should be there.
There was John standing on the corner scratching his head staring at pigeons.
To this day it is one of my most vivid memories.
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I once went to Princeton and was thinking about moving there. hoping for a friendly sign that I should be there.
There was John standing on the corner scratching his head staring at pigeons.
To this day it is one of my most vivid memories.
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Isaiah
Man, group theory is the coolest field of mathematics. I wish there were more uses for it in my everyday life; it was by far my favorite course in uni. So far, I've only really seen it used in database theory, but I'd love to see it elsewhere
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Man, group theory is the coolest field of mathematics. I wish there were more uses for it in my everyday life; it was by far my favorite course in uni. So far, I've only really seen it used in database theory, but I'd love to see it elsewhere
reply
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