Even if we grant that some hypothetical reaction may pull matter out of the air that's still 5 total grams when you include whatever nitrogen or whatever gets sucked in. That is not even to say, of course, that such a reaction exists in the first place.
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It's also worth underlining that Math, at the level where you are thinking about going to grad school in it, stops being about anything directly relatable to the real world and starts being about how aesthetically these patterns of thinking appeal to you.
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If you're the sort of person who should be teaching Math, you've had the epiphany that "Math is an esoteric art that improbably is very good at describing reality even though we don't set out to do that at all" and come to terms with that.
End of conversation
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Check out this formula: RURTRD=2?
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