Those are the ones who could read
bampop
joined 3 months ago
The other fields are attempting to describe reality. While Newtonian physics is useful, as an approximation, it's also quite clearly wrong. You can imagine a universe which follows those rules but it's not this universe, and that's why it's wrong. Mathematics doesn't care about this universe, so you can pick whatever rules you want. Imaginary numbers are not "more accurate", they don't invalidate any previous understanding. They are an imaginary concept with interesting properties. For mathematics, that's enough.
The answer to that question didn't change, what changed is how you might interpret the question.
If I asked “what are the REAL roots of x² + 2x + 2” the answer is still "none". And prior to imaginary numbers being widely used, that is how the question would have been understood.
Mathematics involves making choices about what set of rules we're working with. If you don't allow the concept of negative numbers, the equation "x+1=0" has no solution. If you give me an apple, then I have no apples, how many apples did I have before? The question describes an impossible situation, and that's a perfectly valid way to view it.
Different sets of rules can change what's possible but don't invalidate conclusions based on other sets of rules. We just need to specify what set of rules we're working with.
Jesus is lord.
Cross defeats Jesus.
Cross is lord.
A little at a time. We need to get comfortable doing this to cockroaches before we can start large scale testing on humans
Who will win this fight?
Everybody!
Another quick fix is to set up a "Note to Self" group in Signal (make a group with 2 people then remove the other member). Nice tidy way to move things around, with a history of things you moved earlier
When enclosed in parentheses I believe the correct term is "bolt-ons"
most Jewish people
Whether or not that's true, I don't think it's the sort of claim that should be made without supporting evidence. Bear in mind that the Zionist lobby is powerful, vocal and ruthless, many people may be afraid to speak out against it. If a group can be made to feel like they are the minority, it can seem as if they really are.
This is the same logic that says the only answer to gun violence is more guns
That's hilarious. I do hope it gets evaluated at run time. That way you could have a program that works most of the time but if some rare circumstance caused it to execute commands in a sequence where the correct level of politeness was not maintained it would get the hump and crash
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I agree, because really all numbers are imaginary. Numbers are also wonderfully useful for describing nature, and it's amazing how what might start as a quest for completeness and elegance ends up reflecting something about the real world. Each extension on our use of numbers is an augmentation, an extended toolkit to solve different problems, but doesn't negate anything which went earlier. For example finding the roots of a polynomial often represents a problem where complex solutions aren't applicable, and "no solution" is the more meaningful result. One kind of mathematics may be bigger and more complete than another, but that doesn't make it better or more true. It just depends on what you need from it.