A pair of Gators in RHP Aidan King and INF Brendan Lawson were tabbed Freshman All-Americans, as announced by Perfect Game on Tuesday afternoon. The selection marks King’s second All-American ...
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I am a little confused about how a cyclic group can be infinite. To provide an example, look at $\langle 1\rangle$ under the binary operation of addition. You can never make any negative numbers with
+1 that's a great answer. Especially for the last point: I agree that Zeno's paradox is basically an example of how there can be infinitely many intervals in a finite period of time. I didn't know that there was such a controversy on Zeno's intentions though; looking on wikipedia it seems clear that Zeno invented the paradoxes to support Parmedine's notion that motion is an illusion
@foaly: "tensor product distributes over infinite direct products" is a question about the natural map being an isomorphism. Asking for there to be some arbitrary isomorphism is basically never the question you actually care about in practice.
I would like to have some examples of infinite dimensional vector spaces that help me to break my habit of thinking of $\mathbb{R}^n$ when thinking about vector spaces.