2,223 reputation
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bio website math.berkeley.edu/~sramesh
location Berkeley, CA
age 28
visits member for 4 years, 2 months
seen Apr 13 at 20:50
I am a graduate student in the Logic program at Berkeley, broadly interested in categorical logic and foundations of mathematics, as well as in applications of category theory to the semantics of programming languages.

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comment Avoiding reflexive paradox in set theory
Richard, you are coming now quite close to a principle like "Sets are given by well-founded comprehension"; this is the spirit behind ZF, and once you have that, the rest of its axioms are not far behind [you'll find that the existence of infinite sets, powersets, etc., are not automatically assured, and you may want to assure them].
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comment Application of polynomials with non-negative coefficients
Surely, the thing to do is to use q = p(1) + 1 rather than q = p(1), so as not to have to treat the case p(q) = q^n on an ad hoc basis.
Nov
19
revised Proof without words for surface area of a sphere
added 126 characters in body
Nov
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revised Proof without words for surface area of a sphere
edited body
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revised Proof without words for surface area of a sphere
added 43 characters in body
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answered Proof without words for surface area of a sphere
Nov
18
comment There are two points on the Earth's surface that … ?
What does "separated by the same geodesic distance" mean for two points?
Nov
17
comment Tarski's Theorem and Gödel's Second Incompleteness Theorem
Well, one caveat: One needs that Tarski's result is constructive enough that we have not just "For every T, for every model, there is a G such that...", but in fact "For every T, there is a G such that for every model...". But, basically, were Tarski's result phrased as strongly as its proof actually warranted, it would give us everything.
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comment Tarski's Theorem and Gödel's Second Incompleteness Theorem
I've modified the word of the second paragraph to alleviate this concern. The second incompleteness theorem follows from the simultaneous "external" and "internal" truth of Tarski's theorem (by which I mean, the fact that Tarski's theorem is both true and provable (or, just as well, true inside every model)).