Term for unintuitive equivalencies (e.g., Zorn's lemma and Axiom of Choice)?












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I know there is a term for cases where two mathematical propositions are equivalent but only one is intuitive and the other (and thus the equivalence) is not. Also, the term might apply to surprising, unintuitive connections across different subfields. I believe the term was coined by a mathematician, possibly in the context of category theory, reverse mathematics, mathematicaal foundations, and/or the equivalency of Zorn's lemma and Axiom of Choice. I believe the term is a adjective/noun phrase.



Any help is greatly appreciated. I have scoured my search history for it. It is driving me crazy.










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  • It is a bit vague, but you are not referring to moonshine, are you?
    – Hagen von Eitzen
    Nov 23 at 6:47






  • 1




    There's no such thing as "unintuitive" in mathematics. There's only "wrong kind of intuition".
    – Asaf Karagila
    Nov 23 at 8:53
















0














I know there is a term for cases where two mathematical propositions are equivalent but only one is intuitive and the other (and thus the equivalence) is not. Also, the term might apply to surprising, unintuitive connections across different subfields. I believe the term was coined by a mathematician, possibly in the context of category theory, reverse mathematics, mathematicaal foundations, and/or the equivalency of Zorn's lemma and Axiom of Choice. I believe the term is a adjective/noun phrase.



Any help is greatly appreciated. I have scoured my search history for it. It is driving me crazy.










share|cite|improve this question






















  • It is a bit vague, but you are not referring to moonshine, are you?
    – Hagen von Eitzen
    Nov 23 at 6:47






  • 1




    There's no such thing as "unintuitive" in mathematics. There's only "wrong kind of intuition".
    – Asaf Karagila
    Nov 23 at 8:53














0












0








0







I know there is a term for cases where two mathematical propositions are equivalent but only one is intuitive and the other (and thus the equivalence) is not. Also, the term might apply to surprising, unintuitive connections across different subfields. I believe the term was coined by a mathematician, possibly in the context of category theory, reverse mathematics, mathematicaal foundations, and/or the equivalency of Zorn's lemma and Axiom of Choice. I believe the term is a adjective/noun phrase.



Any help is greatly appreciated. I have scoured my search history for it. It is driving me crazy.










share|cite|improve this question













I know there is a term for cases where two mathematical propositions are equivalent but only one is intuitive and the other (and thus the equivalence) is not. Also, the term might apply to surprising, unintuitive connections across different subfields. I believe the term was coined by a mathematician, possibly in the context of category theory, reverse mathematics, mathematicaal foundations, and/or the equivalency of Zorn's lemma and Axiom of Choice. I believe the term is a adjective/noun phrase.



Any help is greatly appreciated. I have scoured my search history for it. It is driving me crazy.







terminology






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asked Nov 23 at 6:13









NAS 1990

31




31












  • It is a bit vague, but you are not referring to moonshine, are you?
    – Hagen von Eitzen
    Nov 23 at 6:47






  • 1




    There's no such thing as "unintuitive" in mathematics. There's only "wrong kind of intuition".
    – Asaf Karagila
    Nov 23 at 8:53


















  • It is a bit vague, but you are not referring to moonshine, are you?
    – Hagen von Eitzen
    Nov 23 at 6:47






  • 1




    There's no such thing as "unintuitive" in mathematics. There's only "wrong kind of intuition".
    – Asaf Karagila
    Nov 23 at 8:53
















It is a bit vague, but you are not referring to moonshine, are you?
– Hagen von Eitzen
Nov 23 at 6:47




It is a bit vague, but you are not referring to moonshine, are you?
– Hagen von Eitzen
Nov 23 at 6:47




1




1




There's no such thing as "unintuitive" in mathematics. There's only "wrong kind of intuition".
– Asaf Karagila
Nov 23 at 8:53




There's no such thing as "unintuitive" in mathematics. There's only "wrong kind of intuition".
– Asaf Karagila
Nov 23 at 8:53










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Maybe it's the word cryptomorphic that you're looking for?






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    1 Answer
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    1 Answer
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    active

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    active

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    2














    Maybe it's the word cryptomorphic that you're looking for?






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      Maybe it's the word cryptomorphic that you're looking for?






      share|cite|improve this answer
























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        Maybe it's the word cryptomorphic that you're looking for?






        share|cite|improve this answer












        Maybe it's the word cryptomorphic that you're looking for?







        share|cite|improve this answer












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        answered Nov 23 at 8:41









        Hans Lundmark

        35k564112




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