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Iso (math fool)
16.2K posts
Iso (math fool)
@IsomorphicPhi
Background in theoretical physics/math. Interested in mathematics, philosophy and physics. Some kind of anarchist communist, I guess. Any/all. Eng/Swe
@isomorphicphi.bsky.social Katılım Eylül 2020
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They're called non-Archimedean absolute values after their discoverer non-Archimedes
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@PAHoyeck I will smash all thinking machines at their command. I am ready
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Someone once asked me what my single favorite physics textbook was.
Hard question really - as I only rarely go back to my undergrad textbooks, so there is some distance that makes the evaluation hard.
But if I had to pick just one, it would be this.
Any other suggestions?
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What do I do on a Friday night? Applying for jobs, that's what. (I'm fine. I'm playing boardgames later)
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@LardoBarzo12360 Lärare har en sjukt dålig jobbmarknad för tillfället
Svenska
@LardoBarzo12360 Bristande söktryck på min nuvarande arbetsplats. Är det få elever så är jag först ut
Svenska
@lesbomorphism One can read endlessly about commutative algebra
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It's bizarre the things you never ponder in your own language. Why, in Swedish, are the numerator and denominator called the woodcarver and the mentioner?
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@vrijomslachtig Guy who was executed for just asking questions. Woke democracy has gone too far. Bring back the 30 tyrants!
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@mawensx Sameness sign is also what it is called in English, except through Latin. It is also what it means. I read 'a=b' as 'a is b' most often
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@IsomorphicPhi Täljare from tälja (to carve/whittle). Nämnare from nämna (to name/mention). Swedish math terms are weirdly poetic. Also: 'likhetstecknet' (equality sign) is literally 'the sameness mark'
Svenska
@IsomorphicPhi @mouse_math Yeah, what exactly is supposed to be the inverse element to x?
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iii) if 𝑅 is a field, it does NOT imply that (𝑅[𝑥],+,⋅) is a field!
little grey mouse 🐭@mouse_math
Let 𝑅 be a ring, and 𝑅[𝑥] denote the set of polynomials in an indeterminate 𝑥 with coefficients in 𝑅. Then: i) (𝑅[𝑥],+,⋅) is a ring. ii) if 𝑅 is an integral domain, then (𝑅[𝑥],+,⋅) is an integral domain. ps - the same holds for multiple indeterminates.
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How many sombreros does it take to give mass to the universe?
Are Goldstone bosons cannibals if they eat W and Z bosons?
Jack may have been unstable, but he was just a happy unbroken vacuum state. Jack was up the hill, but fell down and broke his symmetry. 😢
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@d_m_d_m_d_d @mouse_math Yeah, I guess that's why Vakil chose a different convention from eg Lang
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@IsomorphicPhi @mouse_math this is really annoying though, because then you need to asterisk every statement like “the union of associated primes is the set of zero divisors”
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note: don't confuse a 'non-zero-divisor' with a 'nonzero zero-divisor'.
Italiano
@IsomorphicPhi frankly i try to be totally flexible when rings are discussed and embrace the author i am currently reading, since there is such a variation of conventions.
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@mouse_math I like the convention of (0) being a prime (because it fits so well) but I like my zero divisors non-zero
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@IsomorphicPhi yes. i am reading Paolo Afuffi (he also treats 0 as a prime.)
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