What is the most unlikely but possible statement?

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











up vote
3
down vote

favorite












I'm looking for statements that look obviously false but have no disproof (yet).



For example The base-10 digits of $pi$ eventually only include 0s and 1s.



To make this question a little objective, I'm thinking about the "Vegas gambling odds" I would need to bet on each statement. Or, equivalently, the final answer will be the one statement I'd choose if forced to bet my life against one. I'm hoping voters could try to take one of those approaches too and I'll probably then just side with the biggest vote-getter.



I'm looking for statements that even children would doubt, and that really is the goal of my question, but I'm also a little curious whether the definitions of more advanced math might somehow create an even more laughable but possible statement.
So, don't hold back if anything in your mind seems more obvious to you.



EDIT: Most statements probably have an obvious improvement method (e.g., as @bof pointed out,
the $pi$ example can use two different long fixed blocks of digits to fill the tail instead of
just 0/1), so I'll simply judge with added style points for making statements "short, sweet,
and easy for children to contemplate"
. The main difference from this prior question is
that answers do not need to be "important" (so the focus here in my question is not on advanced
mathematics) and that I'm choosing the least believable statement as the answer.










share|cite|improve this question



















  • 1




    Pretty much same as mathoverflow.net/questions/259844/…
    – Gerry Myerson
    1 hour ago










  • @Gerry The answers in that question are more advanced and even my pi example seems less likely than those. I might need to re-word my question.
    – bobuhito
    1 hour ago














up vote
3
down vote

favorite












I'm looking for statements that look obviously false but have no disproof (yet).



For example The base-10 digits of $pi$ eventually only include 0s and 1s.



To make this question a little objective, I'm thinking about the "Vegas gambling odds" I would need to bet on each statement. Or, equivalently, the final answer will be the one statement I'd choose if forced to bet my life against one. I'm hoping voters could try to take one of those approaches too and I'll probably then just side with the biggest vote-getter.



I'm looking for statements that even children would doubt, and that really is the goal of my question, but I'm also a little curious whether the definitions of more advanced math might somehow create an even more laughable but possible statement.
So, don't hold back if anything in your mind seems more obvious to you.



EDIT: Most statements probably have an obvious improvement method (e.g., as @bof pointed out,
the $pi$ example can use two different long fixed blocks of digits to fill the tail instead of
just 0/1), so I'll simply judge with added style points for making statements "short, sweet,
and easy for children to contemplate"
. The main difference from this prior question is
that answers do not need to be "important" (so the focus here in my question is not on advanced
mathematics) and that I'm choosing the least believable statement as the answer.










share|cite|improve this question



















  • 1




    Pretty much same as mathoverflow.net/questions/259844/…
    – Gerry Myerson
    1 hour ago










  • @Gerry The answers in that question are more advanced and even my pi example seems less likely than those. I might need to re-word my question.
    – bobuhito
    1 hour ago












up vote
3
down vote

favorite









up vote
3
down vote

favorite











I'm looking for statements that look obviously false but have no disproof (yet).



For example The base-10 digits of $pi$ eventually only include 0s and 1s.



To make this question a little objective, I'm thinking about the "Vegas gambling odds" I would need to bet on each statement. Or, equivalently, the final answer will be the one statement I'd choose if forced to bet my life against one. I'm hoping voters could try to take one of those approaches too and I'll probably then just side with the biggest vote-getter.



I'm looking for statements that even children would doubt, and that really is the goal of my question, but I'm also a little curious whether the definitions of more advanced math might somehow create an even more laughable but possible statement.
So, don't hold back if anything in your mind seems more obvious to you.



EDIT: Most statements probably have an obvious improvement method (e.g., as @bof pointed out,
the $pi$ example can use two different long fixed blocks of digits to fill the tail instead of
just 0/1), so I'll simply judge with added style points for making statements "short, sweet,
and easy for children to contemplate"
. The main difference from this prior question is
that answers do not need to be "important" (so the focus here in my question is not on advanced
mathematics) and that I'm choosing the least believable statement as the answer.










share|cite|improve this question















I'm looking for statements that look obviously false but have no disproof (yet).



For example The base-10 digits of $pi$ eventually only include 0s and 1s.



To make this question a little objective, I'm thinking about the "Vegas gambling odds" I would need to bet on each statement. Or, equivalently, the final answer will be the one statement I'd choose if forced to bet my life against one. I'm hoping voters could try to take one of those approaches too and I'll probably then just side with the biggest vote-getter.



I'm looking for statements that even children would doubt, and that really is the goal of my question, but I'm also a little curious whether the definitions of more advanced math might somehow create an even more laughable but possible statement.
So, don't hold back if anything in your mind seems more obvious to you.



EDIT: Most statements probably have an obvious improvement method (e.g., as @bof pointed out,
the $pi$ example can use two different long fixed blocks of digits to fill the tail instead of
just 0/1), so I'll simply judge with added style points for making statements "short, sweet,
and easy for children to contemplate"
. The main difference from this prior question is
that answers do not need to be "important" (so the focus here in my question is not on advanced
mathematics) and that I'm choosing the least believable statement as the answer.







recreational-mathematics provability






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited 42 mins ago

























asked 1 hour ago









bobuhito

1677




1677







  • 1




    Pretty much same as mathoverflow.net/questions/259844/…
    – Gerry Myerson
    1 hour ago










  • @Gerry The answers in that question are more advanced and even my pi example seems less likely than those. I might need to re-word my question.
    – bobuhito
    1 hour ago












  • 1




    Pretty much same as mathoverflow.net/questions/259844/…
    – Gerry Myerson
    1 hour ago










  • @Gerry The answers in that question are more advanced and even my pi example seems less likely than those. I might need to re-word my question.
    – bobuhito
    1 hour ago







1




1




Pretty much same as mathoverflow.net/questions/259844/…
– Gerry Myerson
1 hour ago




Pretty much same as mathoverflow.net/questions/259844/…
– Gerry Myerson
1 hour ago












@Gerry The answers in that question are more advanced and even my pi example seems less likely than those. I might need to re-word my question.
– bobuhito
1 hour ago




@Gerry The answers in that question are more advanced and even my pi example seems less likely than those. I might need to re-word my question.
– bobuhito
1 hour ago










3 Answers
3






active

oldest

votes

















up vote
3
down vote













This one: $zeta(5) inBbb Q$.






share|cite|improve this answer





























    up vote
    2
    down vote













    Though not for children but to me the statement that is most unlikely but possible is that despite all the computational evidences,




    The Riemann Hypothesis is FALSE.







    share|cite|improve this answer




















    • Some great mathematicians would bet that the RH is false, for example, Littlewood.
      – bof
      1 hour ago










    • @bof, Littlewood is no onger in a position to make wagers.
      – Gerry Myerson
      1 hour ago










    • @bof Some other great mathematicians would bet that the RH is true, for example, Reiamnn :)
      – Nilotpal Kanti Sinha
      1 hour ago










    • @GerryMyerson You may be right. Personally, I don't know what Littlewood may or may not be in a position to do.
      – bof
      1 hour ago










    • You don't have to follow my rules, but I can't believe this gets upvoted...I'd much rather bet on pi not ending with 0s and 1s.
      – bobuhito
      1 hour ago

















    up vote
    1
    down vote













    The continuum is $aleph_37$.






    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: false,
      showLowRepImageUploadWarning: true,
      reputationToPostImages: 10,
      bindNavPrevention: true,
      postfix: "",
      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%2f2919890%2fwhat-is-the-most-unlikely-but-possible-statement%23new-answer', 'question_page');

      );

      Post as a guest






























      3 Answers
      3






      active

      oldest

      votes








      3 Answers
      3






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes








      up vote
      3
      down vote













      This one: $zeta(5) inBbb Q$.






      share|cite|improve this answer


























        up vote
        3
        down vote













        This one: $zeta(5) inBbb Q$.






        share|cite|improve this answer
























          up vote
          3
          down vote










          up vote
          3
          down vote









          This one: $zeta(5) inBbb Q$.






          share|cite|improve this answer














          This one: $zeta(5) inBbb Q$.







          share|cite|improve this answer














          share|cite|improve this answer



          share|cite|improve this answer








          edited 15 mins ago

























          answered 1 hour ago









          Nilotpal Kanti Sinha

          3,35621333




          3,35621333




















              up vote
              2
              down vote













              Though not for children but to me the statement that is most unlikely but possible is that despite all the computational evidences,




              The Riemann Hypothesis is FALSE.







              share|cite|improve this answer




















              • Some great mathematicians would bet that the RH is false, for example, Littlewood.
                – bof
                1 hour ago










              • @bof, Littlewood is no onger in a position to make wagers.
                – Gerry Myerson
                1 hour ago










              • @bof Some other great mathematicians would bet that the RH is true, for example, Reiamnn :)
                – Nilotpal Kanti Sinha
                1 hour ago










              • @GerryMyerson You may be right. Personally, I don't know what Littlewood may or may not be in a position to do.
                – bof
                1 hour ago










              • You don't have to follow my rules, but I can't believe this gets upvoted...I'd much rather bet on pi not ending with 0s and 1s.
                – bobuhito
                1 hour ago














              up vote
              2
              down vote













              Though not for children but to me the statement that is most unlikely but possible is that despite all the computational evidences,




              The Riemann Hypothesis is FALSE.







              share|cite|improve this answer




















              • Some great mathematicians would bet that the RH is false, for example, Littlewood.
                – bof
                1 hour ago










              • @bof, Littlewood is no onger in a position to make wagers.
                – Gerry Myerson
                1 hour ago










              • @bof Some other great mathematicians would bet that the RH is true, for example, Reiamnn :)
                – Nilotpal Kanti Sinha
                1 hour ago










              • @GerryMyerson You may be right. Personally, I don't know what Littlewood may or may not be in a position to do.
                – bof
                1 hour ago










              • You don't have to follow my rules, but I can't believe this gets upvoted...I'd much rather bet on pi not ending with 0s and 1s.
                – bobuhito
                1 hour ago












              up vote
              2
              down vote










              up vote
              2
              down vote









              Though not for children but to me the statement that is most unlikely but possible is that despite all the computational evidences,




              The Riemann Hypothesis is FALSE.







              share|cite|improve this answer












              Though not for children but to me the statement that is most unlikely but possible is that despite all the computational evidences,




              The Riemann Hypothesis is FALSE.








              share|cite|improve this answer












              share|cite|improve this answer



              share|cite|improve this answer










              answered 1 hour ago









              Nilotpal Kanti Sinha

              3,35621333




              3,35621333











              • Some great mathematicians would bet that the RH is false, for example, Littlewood.
                – bof
                1 hour ago










              • @bof, Littlewood is no onger in a position to make wagers.
                – Gerry Myerson
                1 hour ago










              • @bof Some other great mathematicians would bet that the RH is true, for example, Reiamnn :)
                – Nilotpal Kanti Sinha
                1 hour ago










              • @GerryMyerson You may be right. Personally, I don't know what Littlewood may or may not be in a position to do.
                – bof
                1 hour ago










              • You don't have to follow my rules, but I can't believe this gets upvoted...I'd much rather bet on pi not ending with 0s and 1s.
                – bobuhito
                1 hour ago
















              • Some great mathematicians would bet that the RH is false, for example, Littlewood.
                – bof
                1 hour ago










              • @bof, Littlewood is no onger in a position to make wagers.
                – Gerry Myerson
                1 hour ago










              • @bof Some other great mathematicians would bet that the RH is true, for example, Reiamnn :)
                – Nilotpal Kanti Sinha
                1 hour ago










              • @GerryMyerson You may be right. Personally, I don't know what Littlewood may or may not be in a position to do.
                – bof
                1 hour ago










              • You don't have to follow my rules, but I can't believe this gets upvoted...I'd much rather bet on pi not ending with 0s and 1s.
                – bobuhito
                1 hour ago















              Some great mathematicians would bet that the RH is false, for example, Littlewood.
              – bof
              1 hour ago




              Some great mathematicians would bet that the RH is false, for example, Littlewood.
              – bof
              1 hour ago












              @bof, Littlewood is no onger in a position to make wagers.
              – Gerry Myerson
              1 hour ago




              @bof, Littlewood is no onger in a position to make wagers.
              – Gerry Myerson
              1 hour ago












              @bof Some other great mathematicians would bet that the RH is true, for example, Reiamnn :)
              – Nilotpal Kanti Sinha
              1 hour ago




              @bof Some other great mathematicians would bet that the RH is true, for example, Reiamnn :)
              – Nilotpal Kanti Sinha
              1 hour ago












              @GerryMyerson You may be right. Personally, I don't know what Littlewood may or may not be in a position to do.
              – bof
              1 hour ago




              @GerryMyerson You may be right. Personally, I don't know what Littlewood may or may not be in a position to do.
              – bof
              1 hour ago












              You don't have to follow my rules, but I can't believe this gets upvoted...I'd much rather bet on pi not ending with 0s and 1s.
              – bobuhito
              1 hour ago




              You don't have to follow my rules, but I can't believe this gets upvoted...I'd much rather bet on pi not ending with 0s and 1s.
              – bobuhito
              1 hour ago










              up vote
              1
              down vote













              The continuum is $aleph_37$.






              share|cite|improve this answer
























                up vote
                1
                down vote













                The continuum is $aleph_37$.






                share|cite|improve this answer






















                  up vote
                  1
                  down vote










                  up vote
                  1
                  down vote









                  The continuum is $aleph_37$.






                  share|cite|improve this answer












                  The continuum is $aleph_37$.







                  share|cite|improve this answer












                  share|cite|improve this answer



                  share|cite|improve this answer










                  answered 1 hour ago









                  Gerry Myerson

                  144k8145295




                  144k8145295



























                       

                      draft saved


                      draft discarded















































                       


                      draft saved


                      draft discarded














                      StackExchange.ready(
                      function ()
                      StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2919890%2fwhat-is-the-most-unlikely-but-possible-statement%23new-answer', 'question_page');

                      );

                      Post as a guest













































































                      Comments

                      Popular posts from this blog

                      What does second last employer means? [closed]

                      List of Gilmore Girls characters

                      Confectionery