What is the most unlikely but possible statement?
Clash Royale CLAN TAG#URR8PPP
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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
add a comment |Â
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.
recreational-mathematics provability
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
add a comment |Â
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.
recreational-mathematics provability
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
recreational-mathematics provability
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
add a comment |Â
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
add a comment |Â
3 Answers
3
active
oldest
votes
up vote
3
down vote
This one: $zeta(5) inBbb Q$.
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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.
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
 |Â
show 2 more comments
up vote
1
down vote
The continuum is $aleph_37$.
add a comment |Â
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: $zeta(5) inBbb Q$.
add a comment |Â
up vote
3
down vote
This one: $zeta(5) inBbb Q$.
add a comment |Â
up vote
3
down vote
up vote
3
down vote
This one: $zeta(5) inBbb Q$.
This one: $zeta(5) inBbb Q$.
edited 15 mins ago
answered 1 hour ago
Nilotpal Kanti Sinha
3,35621333
3,35621333
add a comment |Â
add a comment |Â
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.
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
 |Â
show 2 more comments
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.
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
 |Â
show 2 more comments
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.
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.
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
 |Â
show 2 more comments
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
 |Â
show 2 more comments
up vote
1
down vote
The continuum is $aleph_37$.
add a comment |Â
up vote
1
down vote
The continuum is $aleph_37$.
add a comment |Â
up vote
1
down vote
up vote
1
down vote
The continuum is $aleph_37$.
The continuum is $aleph_37$.
answered 1 hour ago
Gerry Myerson
144k8145295
144k8145295
add a comment |Â
add a comment |Â
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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