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Joined 2 years ago
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Cake day: July 8th, 2023

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  • Why does area get to be especially fun and definite while length, its one-dimension-away sibling doesn’t?

    Excellent question, and as you yourself allude to, it’s a question of bounds. If you can establish and upper and lower bound on a quantity and make them approach eachother, you can measure it.

    On a finite 2d surface you can make absolute lower and upper bounds on any area - lower is zero, upper is the full surface. All areas are measurable. But on the same surface you can make a line infinitely squiggly and detailed, essentially drawing a fractal. So the upper bound on the length of a line is infinite. Which means not all lines have a measurable length. And that comparing two line lengths might become the same problem as comparing to infinities of the same type, which is not well defined.

    This extends naturally to higher dimensions - in a finite 3d space, volumes must be finite, but both lines and areas can be fractally complex and infinite. And so on.





  • The trick is to redirect the conversation into something you’re happy to rant about for hours. “Why?” “Because mitochondria are the powerhouse of the cell, much like Horus was the powerhouse of the campaign to reunify the galaxy.” “Why?” “So in ancient Anatolia, an immortal man was born…”


  • To me it feels more about consistency. The world aligns with your expressed ideology.

    If you’re using the sneaking and non-lethal tools the world becomes a place that believes in the value of life, if you murder indiscriminately the world becomes a place of punishment, where nobody is innocent and the only way forward is to let a plague descend on the land.

    Plus, arguably, the parts that get harder when you go lethal are balanced by the inherently more difficult nature of the non-lethal approach.







  • Also double slit experiment is not so much a thought experiment as it’s an experimental phenomenon that is hard to explain. Also Einsteins thought experiments are actual science, based on reality with actual results…

    The double slit experiment was first invented as a thought experiment, and later was built as an actual experiment. It’s the same with relativity, first it was thought up, now it’s experimentally verified. So the examples from relativity you bring up are also more experimental phenomena than a thought experiments at this point.