teil
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Member for 14 years, 9 months
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Quick proofs of hard theorems
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Non-real constants
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Reference request for category theory works which quickly prove the theorem which generalises the 1st isomorphism theorem for groups/rings/...
As I don't know the theory, it's very difficult for me to tell what to skip, I don't know which results depend on which.
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Non-real constants
I think calling numbers constants is due to the influence of physics.
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Non-real constants
I thought p-adics were Laurent series in p, so that you could evaluate the series as a real number and identify them that way.
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Non-real constants
Why stop with complexes and p-adics? What about quaternions or surreal numbers or even stranger number systems?
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Are there primes p, q such that p^4+1 = 2q^2 ?
How can Magma be used with confidence, their code is not open.
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Are there primes p, q such that p^4+1 = 2q^2 ?
Anglin's book - The Queen of Mathematics: An Introduction to Number Theory has solutions to Diophantine equations very similar to this, it might even have this one.
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What does it mean for a mathematical statement to be true?
Doesn't this use Church's thesis - which states that recursive and computable functions are the same thing?
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What does it mean for a mathematical statement to be true?
If it was not possible to prove this, would you still be confident in calling this true?
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What does it mean for a mathematical statement to be true?
How can it be philosophical? Godel's theorem is mathematics, so the terms have to be defined.
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Are there situations when regarding isomorphic objects as identical leads to mistakes?
Is it safe to identify a Hilbert space with its dual?
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