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A comment on Finding a Bug in Dummit and Foote's Abstract Algebra. Parent comment

Re:Finding a Bug in Dummit and Foote's Abstract Algebra by changoplatanero on Monday September 07, 2026 @05:24PM (#49603142)
When there are no pairs, its certainly true that the first element of each pair comes from A. Just like if there are no living dinosaurs its true that all living dinosaurs speak English.
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Re:Finding a Bug in Dummit and Foote's Abstract Algebra by psYchotic on Monday September 07, 2026 @05:43PM (#49603280)
That helps. Thank you!

I was trying to come up with something to explain why I couldn't see it myself: every element of an empty set of integers is both even and odd. This feels counterintuitive to me, until I flip it around into a question: what is the set of all integers that are both even and odd?

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Re:Finding a Bug in Dummit and Foote's Abstract Algebra by mitxela on Monday September 07, 2026 @06:32PM (#49603729)
Neat trick
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Re:Finding a Bug in Dummit and Foote's Abstract Algebra by jibal on Monday September 07, 2026 @11:45PM (#49605445)
Well done. Finding a way to look at things so that results that seemed unintuitive seem intuitive can be powerful and satisfying.
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