Retractions in mathematical journals

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The number of retractions in some scientific fields like medicine, life and material related science seems rising in the past years. However, retractions in mathematics seem rare because of its rigorous nature. I wonder if there are retractions in mathematical journals.










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  • Probably, but errors in math journals are often corrected by writing a new paper with better results. Citing the old paper, of course. In medicine, not retracting bad results can result in harm. I don't know about material science - bridges falling down?

    – Buffy
    Mar 2 at 20:30






  • 1





    Here's a related post from Math Overflow.

    – Anyon
    Mar 2 at 20:33















1















The number of retractions in some scientific fields like medicine, life and material related science seems rising in the past years. However, retractions in mathematics seem rare because of its rigorous nature. I wonder if there are retractions in mathematical journals.










share|improve this question
























  • Probably, but errors in math journals are often corrected by writing a new paper with better results. Citing the old paper, of course. In medicine, not retracting bad results can result in harm. I don't know about material science - bridges falling down?

    – Buffy
    Mar 2 at 20:30






  • 1





    Here's a related post from Math Overflow.

    – Anyon
    Mar 2 at 20:33













1












1








1








The number of retractions in some scientific fields like medicine, life and material related science seems rising in the past years. However, retractions in mathematics seem rare because of its rigorous nature. I wonder if there are retractions in mathematical journals.










share|improve this question
















The number of retractions in some scientific fields like medicine, life and material related science seems rising in the past years. However, retractions in mathematics seem rare because of its rigorous nature. I wonder if there are retractions in mathematical journals.







publications journals retraction






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edited Mar 3 at 1:55







Math Wizard

















asked Mar 2 at 20:18









Math WizardMath Wizard

22017




22017












  • Probably, but errors in math journals are often corrected by writing a new paper with better results. Citing the old paper, of course. In medicine, not retracting bad results can result in harm. I don't know about material science - bridges falling down?

    – Buffy
    Mar 2 at 20:30






  • 1





    Here's a related post from Math Overflow.

    – Anyon
    Mar 2 at 20:33

















  • Probably, but errors in math journals are often corrected by writing a new paper with better results. Citing the old paper, of course. In medicine, not retracting bad results can result in harm. I don't know about material science - bridges falling down?

    – Buffy
    Mar 2 at 20:30






  • 1





    Here's a related post from Math Overflow.

    – Anyon
    Mar 2 at 20:33
















Probably, but errors in math journals are often corrected by writing a new paper with better results. Citing the old paper, of course. In medicine, not retracting bad results can result in harm. I don't know about material science - bridges falling down?

– Buffy
Mar 2 at 20:30





Probably, but errors in math journals are often corrected by writing a new paper with better results. Citing the old paper, of course. In medicine, not retracting bad results can result in harm. I don't know about material science - bridges falling down?

– Buffy
Mar 2 at 20:30




1




1





Here's a related post from Math Overflow.

– Anyon
Mar 2 at 20:33





Here's a related post from Math Overflow.

– Anyon
Mar 2 at 20:33










3 Answers
3






active

oldest

votes


















5














The Daniel Biss case is one example where the retraction is due to legitimate mistakes (not misconduct). These retractions are rare because much of the time, incorrect proofs can still be salvaged with some work (recall Wiles and Taylor) and even papers with wrong results often contain enough correct material to be considered useful. Also, there are much fewer people that have the time to properly evaluate a paper in mathematics than in (say) psychology, where anyone with a decent understanding of statistical fallacies can find half a dozen bad studies per day.



There are also, quite likely, some cases where plagiarism has led to retractions.



Then there is the Ted Hill GMVH controversy (Quillette, Gowers's blog 1, Gowers's blog 2, Retraction Watch). NYJM has removed that paper from its archives, which can be construed as a kind of informal retraction, albeit easier to construe as a mess-up in the face of unexpected hostility from parts of the community. (The explanation given for the retraction is that the paper did not fit the journal's scope and level; note, however, that this is an extremely unusual grounds for retraction in academic publishing.)



RetractionWatch has a tag for retractions in mathematics.






share|improve this answer

























  • (I also vaguely recall a journal publishing one and the same paper twice in a row... anyone?)

    – darij grinberg
    Mar 2 at 20:35


















2














Many years ago I saw a page in an Eastern European mathematics journal retracting a past paper. It seems the paper had originally appeared in a Chinese journal, and some enterprising guy in Eastern Europe translated it into English and submitted it under his own name. The journal only found out about that fraud years later.






share|improve this answer






























    1














    I definitely think there are field differences. Psychology and medicine are much more prone to issues with sample size, confounding variables, etc. Plus there is a huge amount of money pumped into biology/medical research (look at NIH budget versus NSF) and this likely leads to issues of worse scientists, declining returns on investment, etc. (Add in business drivers of drug research, political biases on social policies, etc. and it becomes even worse.)



    There are some sketchy mat sci papers (nanoscience, devices) where there is hype science present and even deception. But in general, I bet mat sci has more solid stuff than psych and medicine. Math even more so.



    A lot of times when people talk about the replication crisis, they really mean fields like psych, nutrition, cancer, education, crime, etc. I don't see general replication issues in chemistry. Yeah, there are a very small percentage of mistakes (wrong crystal structure). But in general if you repeat a chemical synthesis for a new molecule, you get the new molecule. Try that in a priming study! https://en.wikipedia.org/wiki/Priming_(psychology)#Criticism






    share|improve this answer























    • "Mat Sci has more solid stuff..." I can see that - concrete, granite, steel...

      – Solar Mike
      Mar 3 at 12:22











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    3 Answers
    3






    active

    oldest

    votes








    3 Answers
    3






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    5














    The Daniel Biss case is one example where the retraction is due to legitimate mistakes (not misconduct). These retractions are rare because much of the time, incorrect proofs can still be salvaged with some work (recall Wiles and Taylor) and even papers with wrong results often contain enough correct material to be considered useful. Also, there are much fewer people that have the time to properly evaluate a paper in mathematics than in (say) psychology, where anyone with a decent understanding of statistical fallacies can find half a dozen bad studies per day.



    There are also, quite likely, some cases where plagiarism has led to retractions.



    Then there is the Ted Hill GMVH controversy (Quillette, Gowers's blog 1, Gowers's blog 2, Retraction Watch). NYJM has removed that paper from its archives, which can be construed as a kind of informal retraction, albeit easier to construe as a mess-up in the face of unexpected hostility from parts of the community. (The explanation given for the retraction is that the paper did not fit the journal's scope and level; note, however, that this is an extremely unusual grounds for retraction in academic publishing.)



    RetractionWatch has a tag for retractions in mathematics.






    share|improve this answer

























    • (I also vaguely recall a journal publishing one and the same paper twice in a row... anyone?)

      – darij grinberg
      Mar 2 at 20:35















    5














    The Daniel Biss case is one example where the retraction is due to legitimate mistakes (not misconduct). These retractions are rare because much of the time, incorrect proofs can still be salvaged with some work (recall Wiles and Taylor) and even papers with wrong results often contain enough correct material to be considered useful. Also, there are much fewer people that have the time to properly evaluate a paper in mathematics than in (say) psychology, where anyone with a decent understanding of statistical fallacies can find half a dozen bad studies per day.



    There are also, quite likely, some cases where plagiarism has led to retractions.



    Then there is the Ted Hill GMVH controversy (Quillette, Gowers's blog 1, Gowers's blog 2, Retraction Watch). NYJM has removed that paper from its archives, which can be construed as a kind of informal retraction, albeit easier to construe as a mess-up in the face of unexpected hostility from parts of the community. (The explanation given for the retraction is that the paper did not fit the journal's scope and level; note, however, that this is an extremely unusual grounds for retraction in academic publishing.)



    RetractionWatch has a tag for retractions in mathematics.






    share|improve this answer

























    • (I also vaguely recall a journal publishing one and the same paper twice in a row... anyone?)

      – darij grinberg
      Mar 2 at 20:35













    5












    5








    5







    The Daniel Biss case is one example where the retraction is due to legitimate mistakes (not misconduct). These retractions are rare because much of the time, incorrect proofs can still be salvaged with some work (recall Wiles and Taylor) and even papers with wrong results often contain enough correct material to be considered useful. Also, there are much fewer people that have the time to properly evaluate a paper in mathematics than in (say) psychology, where anyone with a decent understanding of statistical fallacies can find half a dozen bad studies per day.



    There are also, quite likely, some cases where plagiarism has led to retractions.



    Then there is the Ted Hill GMVH controversy (Quillette, Gowers's blog 1, Gowers's blog 2, Retraction Watch). NYJM has removed that paper from its archives, which can be construed as a kind of informal retraction, albeit easier to construe as a mess-up in the face of unexpected hostility from parts of the community. (The explanation given for the retraction is that the paper did not fit the journal's scope and level; note, however, that this is an extremely unusual grounds for retraction in academic publishing.)



    RetractionWatch has a tag for retractions in mathematics.






    share|improve this answer















    The Daniel Biss case is one example where the retraction is due to legitimate mistakes (not misconduct). These retractions are rare because much of the time, incorrect proofs can still be salvaged with some work (recall Wiles and Taylor) and even papers with wrong results often contain enough correct material to be considered useful. Also, there are much fewer people that have the time to properly evaluate a paper in mathematics than in (say) psychology, where anyone with a decent understanding of statistical fallacies can find half a dozen bad studies per day.



    There are also, quite likely, some cases where plagiarism has led to retractions.



    Then there is the Ted Hill GMVH controversy (Quillette, Gowers's blog 1, Gowers's blog 2, Retraction Watch). NYJM has removed that paper from its archives, which can be construed as a kind of informal retraction, albeit easier to construe as a mess-up in the face of unexpected hostility from parts of the community. (The explanation given for the retraction is that the paper did not fit the journal's scope and level; note, however, that this is an extremely unusual grounds for retraction in academic publishing.)



    RetractionWatch has a tag for retractions in mathematics.







    share|improve this answer














    share|improve this answer



    share|improve this answer








    edited Mar 2 at 20:39

























    answered Mar 2 at 20:30









    darij grinbergdarij grinberg

    3,05711223




    3,05711223












    • (I also vaguely recall a journal publishing one and the same paper twice in a row... anyone?)

      – darij grinberg
      Mar 2 at 20:35

















    • (I also vaguely recall a journal publishing one and the same paper twice in a row... anyone?)

      – darij grinberg
      Mar 2 at 20:35
















    (I also vaguely recall a journal publishing one and the same paper twice in a row... anyone?)

    – darij grinberg
    Mar 2 at 20:35





    (I also vaguely recall a journal publishing one and the same paper twice in a row... anyone?)

    – darij grinberg
    Mar 2 at 20:35











    2














    Many years ago I saw a page in an Eastern European mathematics journal retracting a past paper. It seems the paper had originally appeared in a Chinese journal, and some enterprising guy in Eastern Europe translated it into English and submitted it under his own name. The journal only found out about that fraud years later.






    share|improve this answer



























      2














      Many years ago I saw a page in an Eastern European mathematics journal retracting a past paper. It seems the paper had originally appeared in a Chinese journal, and some enterprising guy in Eastern Europe translated it into English and submitted it under his own name. The journal only found out about that fraud years later.






      share|improve this answer

























        2












        2








        2







        Many years ago I saw a page in an Eastern European mathematics journal retracting a past paper. It seems the paper had originally appeared in a Chinese journal, and some enterprising guy in Eastern Europe translated it into English and submitted it under his own name. The journal only found out about that fraud years later.






        share|improve this answer













        Many years ago I saw a page in an Eastern European mathematics journal retracting a past paper. It seems the paper had originally appeared in a Chinese journal, and some enterprising guy in Eastern Europe translated it into English and submitted it under his own name. The journal only found out about that fraud years later.







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered Mar 2 at 20:29









        GEdgarGEdgar

        11.8k72742




        11.8k72742





















            1














            I definitely think there are field differences. Psychology and medicine are much more prone to issues with sample size, confounding variables, etc. Plus there is a huge amount of money pumped into biology/medical research (look at NIH budget versus NSF) and this likely leads to issues of worse scientists, declining returns on investment, etc. (Add in business drivers of drug research, political biases on social policies, etc. and it becomes even worse.)



            There are some sketchy mat sci papers (nanoscience, devices) where there is hype science present and even deception. But in general, I bet mat sci has more solid stuff than psych and medicine. Math even more so.



            A lot of times when people talk about the replication crisis, they really mean fields like psych, nutrition, cancer, education, crime, etc. I don't see general replication issues in chemistry. Yeah, there are a very small percentage of mistakes (wrong crystal structure). But in general if you repeat a chemical synthesis for a new molecule, you get the new molecule. Try that in a priming study! https://en.wikipedia.org/wiki/Priming_(psychology)#Criticism






            share|improve this answer























            • "Mat Sci has more solid stuff..." I can see that - concrete, granite, steel...

              – Solar Mike
              Mar 3 at 12:22















            1














            I definitely think there are field differences. Psychology and medicine are much more prone to issues with sample size, confounding variables, etc. Plus there is a huge amount of money pumped into biology/medical research (look at NIH budget versus NSF) and this likely leads to issues of worse scientists, declining returns on investment, etc. (Add in business drivers of drug research, political biases on social policies, etc. and it becomes even worse.)



            There are some sketchy mat sci papers (nanoscience, devices) where there is hype science present and even deception. But in general, I bet mat sci has more solid stuff than psych and medicine. Math even more so.



            A lot of times when people talk about the replication crisis, they really mean fields like psych, nutrition, cancer, education, crime, etc. I don't see general replication issues in chemistry. Yeah, there are a very small percentage of mistakes (wrong crystal structure). But in general if you repeat a chemical synthesis for a new molecule, you get the new molecule. Try that in a priming study! https://en.wikipedia.org/wiki/Priming_(psychology)#Criticism






            share|improve this answer























            • "Mat Sci has more solid stuff..." I can see that - concrete, granite, steel...

              – Solar Mike
              Mar 3 at 12:22













            1












            1








            1







            I definitely think there are field differences. Psychology and medicine are much more prone to issues with sample size, confounding variables, etc. Plus there is a huge amount of money pumped into biology/medical research (look at NIH budget versus NSF) and this likely leads to issues of worse scientists, declining returns on investment, etc. (Add in business drivers of drug research, political biases on social policies, etc. and it becomes even worse.)



            There are some sketchy mat sci papers (nanoscience, devices) where there is hype science present and even deception. But in general, I bet mat sci has more solid stuff than psych and medicine. Math even more so.



            A lot of times when people talk about the replication crisis, they really mean fields like psych, nutrition, cancer, education, crime, etc. I don't see general replication issues in chemistry. Yeah, there are a very small percentage of mistakes (wrong crystal structure). But in general if you repeat a chemical synthesis for a new molecule, you get the new molecule. Try that in a priming study! https://en.wikipedia.org/wiki/Priming_(psychology)#Criticism






            share|improve this answer













            I definitely think there are field differences. Psychology and medicine are much more prone to issues with sample size, confounding variables, etc. Plus there is a huge amount of money pumped into biology/medical research (look at NIH budget versus NSF) and this likely leads to issues of worse scientists, declining returns on investment, etc. (Add in business drivers of drug research, political biases on social policies, etc. and it becomes even worse.)



            There are some sketchy mat sci papers (nanoscience, devices) where there is hype science present and even deception. But in general, I bet mat sci has more solid stuff than psych and medicine. Math even more so.



            A lot of times when people talk about the replication crisis, they really mean fields like psych, nutrition, cancer, education, crime, etc. I don't see general replication issues in chemistry. Yeah, there are a very small percentage of mistakes (wrong crystal structure). But in general if you repeat a chemical synthesis for a new molecule, you get the new molecule. Try that in a priming study! https://en.wikipedia.org/wiki/Priming_(psychology)#Criticism







            share|improve this answer












            share|improve this answer



            share|improve this answer










            answered Mar 2 at 20:33









            guestguest

            192




            192












            • "Mat Sci has more solid stuff..." I can see that - concrete, granite, steel...

              – Solar Mike
              Mar 3 at 12:22

















            • "Mat Sci has more solid stuff..." I can see that - concrete, granite, steel...

              – Solar Mike
              Mar 3 at 12:22
















            "Mat Sci has more solid stuff..." I can see that - concrete, granite, steel...

            – Solar Mike
            Mar 3 at 12:22





            "Mat Sci has more solid stuff..." I can see that - concrete, granite, steel...

            – Solar Mike
            Mar 3 at 12:22

















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