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Mar 22, 2012 at 8:22 vote accept James Propp
Mar 19, 2012 at 20:30 history edited Gerald Edgar CC BY-SA 3.0
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Mar 19, 2012 at 20:20 history edited Gerald Edgar CC BY-SA 3.0
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Mar 19, 2012 at 19:56 comment added Gerald Edgar I don't even know what bracket-based definitions of sin and cos are. In ONAG Conway only remarks that the obvious ones don't work.
Mar 19, 2012 at 18:11 comment added James Propp Thanks for the remark about the choice of "complementary subgroup"; it clarified things for me. But I still don't see the surjectivity of the map from the surreals to the surcomplex unit circle. I agree that in non-standard analysis there's a transfer principle, but surreal analysis is different from NSA (I'll start a new thread on this: mathoverflow.net/questions/91646/…), and in any case it's not clear to me that bracket-based definitions of sin and cos are first-order.
Mar 18, 2012 at 16:57 history edited Gerald Edgar CC BY-SA 3.0
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Mar 18, 2012 at 16:52 history edited Gerald Edgar CC BY-SA 3.0
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Mar 18, 2012 at 2:47 comment added James Propp How do we know the map is surjective?
Mar 16, 2012 at 13:50 history answered Gerald Edgar CC BY-SA 3.0