earlgray

4 ms·

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by earlgray 2y ago
That sounds like a cool project. Do you know of any transcendental number that does admit an intuitive proof of irrationality (or, more generally, of not being algebraic to any specific degree)? My gut feeling is that this shouldn't ty
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by earlgray 3y ago
If it's even odds then I expect it's a losing bet no matter what anyone writes down - that's why in the imagined scenario it's forced. The pertinent question isn't whether you expect to lose money by playing, it&#x2
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by earlgray 3y ago
I agree 100% with the spirit of your point and I think imagining a forced bet scenario can help to clarify things. There are three main concepts we want to interpret within the context of the phrasing of the rule: (1) the intended referrent
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by earlgray 4y ago
Learning names for the sake of learning names is never helpful. However the history of mathematics can help to contextualise the material and its motivation. For example, group theory has myriad modern applications. It can be (and usually i
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by earlgray 5y ago
I grew up with the Times crossword over dinner. We're not the most talkative family so a puzzle gives us something to do together while we're eating. A few observations, learned from introducing various other people to the hobby o
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by earlgray 8y ago
This answer matches my experiences very closely. When you feel you brain begging you to gloss over the equation and move on - that's a red flag that you need to slow down, exercise discipline over your concentration, and figure out wha
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by earlgray 8y ago
Could you give some examples of notation that you struggled to understand, and explain what about it you find confusing? One difficulty of notation is that the hierarchy of abstraction builds dizzyingly quickly, and soon you're manipul