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












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














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






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










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










1 Answer
1






active

oldest

votes


















2














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






share|cite|improve this answer





















    Your Answer





    StackExchange.ifUsing("editor", function () {
    return StackExchange.using("mathjaxEditing", function () {
    StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
    StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
    });
    });
    }, "mathjax-editing");

    StackExchange.ready(function() {
    var channelOptions = {
    tags: "".split(" "),
    id: "69"
    };
    initTagRenderer("".split(" "), "".split(" "), channelOptions);

    StackExchange.using("externalEditor", function() {
    // Have to fire editor after snippets, if snippets enabled
    if (StackExchange.settings.snippets.snippetsEnabled) {
    StackExchange.using("snippets", function() {
    createEditor();
    });
    }
    else {
    createEditor();
    }
    });

    function createEditor() {
    StackExchange.prepareEditor({
    heartbeatType: 'answer',
    autoActivateHeartbeat: false,
    convertImagesToLinks: true,
    noModals: true,
    showLowRepImageUploadWarning: true,
    reputationToPostImages: 10,
    bindNavPrevention: true,
    postfix: "",
    imageUploader: {
    brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
    contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
    allowUrls: true
    },
    noCode: true, onDemand: true,
    discardSelector: ".discard-answer"
    ,immediatelyShowMarkdownHelp:true
    });


    }
    });














    draft saved

    draft discarded


















    StackExchange.ready(
    function () {
    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3010028%2fterm-for-unintuitive-equivalencies-e-g-zorns-lemma-and-axiom-of-choice%23new-answer', 'question_page');
    }
    );

    Post as a guest















    Required, but never shown

























    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    2














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






    share|cite|improve this answer


























      2














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






      share|cite|improve this answer
























        2












        2








        2






        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












        share|cite|improve this answer



        share|cite|improve this answer










        answered Nov 23 at 8:41









        Hans Lundmark

        35k564112




        35k564112






























            draft saved

            draft discarded




















































            Thanks for contributing an answer to Mathematics Stack Exchange!


            • Please be sure to answer the question. Provide details and share your research!

            But avoid



            • Asking for help, clarification, or responding to other answers.

            • Making statements based on opinion; back them up with references or personal experience.


            Use MathJax to format equations. MathJax reference.


            To learn more, see our tips on writing great answers.





            Some of your past answers have not been well-received, and you're in danger of being blocked from answering.


            Please pay close attention to the following guidance:


            • Please be sure to answer the question. Provide details and share your research!

            But avoid



            • Asking for help, clarification, or responding to other answers.

            • Making statements based on opinion; back them up with references or personal experience.


            To learn more, see our tips on writing great answers.




            draft saved


            draft discarded














            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3010028%2fterm-for-unintuitive-equivalencies-e-g-zorns-lemma-and-axiom-of-choice%23new-answer', 'question_page');
            }
            );

            Post as a guest















            Required, but never shown





















































            Required, but never shown














            Required, but never shown












            Required, but never shown







            Required, but never shown

































            Required, but never shown














            Required, but never shown












            Required, but never shown







            Required, but never shown







            Popular posts from this blog

            Plaza Victoria

            In PowerPoint, is there a keyboard shortcut for bulleted / numbered list?

            How to put 3 figures in Latex with 2 figures side by side and 1 below these side by side images but in...