Viewing profile — earlgray

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 spe…

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 expe…

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 con…

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 the…

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 fr…

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…

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 abstrac…