Informal proof of diagonal lemma











up vote
0
down vote

favorite
1












I am reading this proof of the diagonal lemma
and I do not understand what is happening here. Could you informally explain what is the strategy here? I would appreciate it if you went step by step. I am aware of this informal exposition, but I don't think it explains the proof itself.










share|cite|improve this question







New contributor




M. Moe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
















  • 1




    Could you expand on which part of the proof you don't understand? That would help others explain it. There's not really much of an informal strategy, except "construct the thing the theorem says must exist". The construction is hard to discover - it's the kind of proof that you simply check step by step.
    – Carl Mummert
    2 days ago










  • See also the post proving-and-understanding-the-fixed-point-lemma-diagonal-lemma-in-logic
    – Mauro ALLEGRANZA
    yesterday

















up vote
0
down vote

favorite
1












I am reading this proof of the diagonal lemma
and I do not understand what is happening here. Could you informally explain what is the strategy here? I would appreciate it if you went step by step. I am aware of this informal exposition, but I don't think it explains the proof itself.










share|cite|improve this question







New contributor




M. Moe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
















  • 1




    Could you expand on which part of the proof you don't understand? That would help others explain it. There's not really much of an informal strategy, except "construct the thing the theorem says must exist". The construction is hard to discover - it's the kind of proof that you simply check step by step.
    – Carl Mummert
    2 days ago










  • See also the post proving-and-understanding-the-fixed-point-lemma-diagonal-lemma-in-logic
    – Mauro ALLEGRANZA
    yesterday















up vote
0
down vote

favorite
1









up vote
0
down vote

favorite
1






1





I am reading this proof of the diagonal lemma
and I do not understand what is happening here. Could you informally explain what is the strategy here? I would appreciate it if you went step by step. I am aware of this informal exposition, but I don't think it explains the proof itself.










share|cite|improve this question







New contributor




M. Moe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











I am reading this proof of the diagonal lemma
and I do not understand what is happening here. Could you informally explain what is the strategy here? I would appreciate it if you went step by step. I am aware of this informal exposition, but I don't think it explains the proof itself.







logic






share|cite|improve this question







New contributor




M. Moe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question







New contributor




M. Moe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question






New contributor




M. Moe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked 2 days ago









M. Moe

31




31




New contributor




M. Moe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





M. Moe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






M. Moe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.








  • 1




    Could you expand on which part of the proof you don't understand? That would help others explain it. There's not really much of an informal strategy, except "construct the thing the theorem says must exist". The construction is hard to discover - it's the kind of proof that you simply check step by step.
    – Carl Mummert
    2 days ago










  • See also the post proving-and-understanding-the-fixed-point-lemma-diagonal-lemma-in-logic
    – Mauro ALLEGRANZA
    yesterday
















  • 1




    Could you expand on which part of the proof you don't understand? That would help others explain it. There's not really much of an informal strategy, except "construct the thing the theorem says must exist". The construction is hard to discover - it's the kind of proof that you simply check step by step.
    – Carl Mummert
    2 days ago










  • See also the post proving-and-understanding-the-fixed-point-lemma-diagonal-lemma-in-logic
    – Mauro ALLEGRANZA
    yesterday










1




1




Could you expand on which part of the proof you don't understand? That would help others explain it. There's not really much of an informal strategy, except "construct the thing the theorem says must exist". The construction is hard to discover - it's the kind of proof that you simply check step by step.
– Carl Mummert
2 days ago




Could you expand on which part of the proof you don't understand? That would help others explain it. There's not really much of an informal strategy, except "construct the thing the theorem says must exist". The construction is hard to discover - it's the kind of proof that you simply check step by step.
– Carl Mummert
2 days ago












See also the post proving-and-understanding-the-fixed-point-lemma-diagonal-lemma-in-logic
– Mauro ALLEGRANZA
yesterday






See also the post proving-and-understanding-the-fixed-point-lemma-diagonal-lemma-in-logic
– Mauro ALLEGRANZA
yesterday












1 Answer
1






active

oldest

votes

















up vote
1
down vote













You could try §47 of the notes Gödel Without Tears, which is still rather terse buy the notation might be a bit more helpful.



https://www.logicmatters.net/resources/pdfs/gwt/GWT2f.pdf






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',
    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
    });


    }
    });






    M. Moe is a new contributor. Be nice, and check out our Code of Conduct.










     

    draft saved


    draft discarded


















    StackExchange.ready(
    function () {
    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3005403%2finformal-proof-of-diagonal-lemma%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








    up vote
    1
    down vote













    You could try §47 of the notes Gödel Without Tears, which is still rather terse buy the notation might be a bit more helpful.



    https://www.logicmatters.net/resources/pdfs/gwt/GWT2f.pdf






    share|cite|improve this answer



























      up vote
      1
      down vote













      You could try §47 of the notes Gödel Without Tears, which is still rather terse buy the notation might be a bit more helpful.



      https://www.logicmatters.net/resources/pdfs/gwt/GWT2f.pdf






      share|cite|improve this answer

























        up vote
        1
        down vote










        up vote
        1
        down vote









        You could try §47 of the notes Gödel Without Tears, which is still rather terse buy the notation might be a bit more helpful.



        https://www.logicmatters.net/resources/pdfs/gwt/GWT2f.pdf






        share|cite|improve this answer














        You could try §47 of the notes Gödel Without Tears, which is still rather terse buy the notation might be a bit more helpful.



        https://www.logicmatters.net/resources/pdfs/gwt/GWT2f.pdf







        share|cite|improve this answer














        share|cite|improve this answer



        share|cite|improve this answer








        edited 2 days ago

























        answered 2 days ago









        Peter Smith

        40.1k339118




        40.1k339118






















            M. Moe is a new contributor. Be nice, and check out our Code of Conduct.










             

            draft saved


            draft discarded


















            M. Moe is a new contributor. Be nice, and check out our Code of Conduct.













            M. Moe is a new contributor. Be nice, and check out our Code of Conduct.












            M. Moe is a new contributor. Be nice, and check out our Code of Conduct.















             


            draft saved


            draft discarded














            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3005403%2finformal-proof-of-diagonal-lemma%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

            android studio warns about leanback feature tag usage required on manifest while using Unity exported app?

            SQL update select statement

            WPF add header to Image with URL pettitions [duplicate]