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Why is this in SB anyway? This thread deserves to die in a boring place like Science & Maths, not in a lively place such as the SB. |
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Saying quantum physics explains cognitive processes is just like saying geology explains jurisprudence.
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I wasn't expecting serious answers in SB -_- |
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if you can read this then you are about to be punched
0.999~ = 0.9 actually. :V |
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You can't comb the hair of a spherical dog without introducing a part |
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Previously PhilosopherStoned
When I saw the post I though "well, that's all wrong. It can't be" |
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April Ryan is my friend,
Every sorrow she can mend.
When i visit her dark realm,
Does it simply overwhelm.
The complex numbers are isomorphic as a ring to R[x]/(X^ + 1) |
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Previously PhilosopherStoned
A vector space is just a ring homomorphism from a field into the endomorphism ring of an abelian group |
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Previously PhilosopherStoned
A torus has zero global curvature |
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Previously PhilosopherStoned
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Actually I disagree with the axiom of associativity. |
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let's see, associativity....that's (a + b) + c = a + (b + c). It's gonna take me a second and I don't have my book that covers the fundamentals so I might not be able too. I'll do it in pieces. |
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Previously PhilosopherStoned
we start with the symbols { and }. We introduce an operation, lets use S, which takes the given symbol, x, and returns {x} so that S(x) = {x} |
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Previously PhilosopherStoned
We call S the increment operator and specify the rule that every { must be closed by a } |
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Previously PhilosopherStoned
I am a little embarrassed though.... |
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Previously PhilosopherStoned
I thought associativity is unprovable... |
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You studying maths Xei? Didn't know that. |
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Saying quantum physics explains cognitive processes is just like saying geology explains jurisprudence.
It works like this. We collect a set of axioms and prove things assuming them. The axioms that describe the integers are collected together and called the ring axioms. The ones that describe the rationals and reals are called the field axioms. A set that satisfies them is called a ring or a field respectively. (only a ring doesn't necessarily need to be commutative in multiplication, only addition. If it is then it's specifically called a commutative ring) |
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Previously PhilosopherStoned
Thanks PS, I need to get some summer reading done actually. I prefer algebra to most other aspects of mathematics, although I understand it's a totally different beast in higher education. I think the thing I've enjoyed most so far was learning about the Maclaurin series and how they can prove euler's identity and then how you can use that for integrals and trigonometric sums and things. |
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Neuroscience, sweet. I'm gonna study medicine, specialize on psychiatry, then post-graduate on neuroscience. Maybe we'll meet one day ^^ |
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Saying quantum physics explains cognitive processes is just like saying geology explains jurisprudence.
Ok, all is well enough, but, help me out with this particular problem. Let's say that I have, |
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*gets popcorn and scratches head with confused look* |
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if you can read this then you are about to be punched
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