Comments - Will Big Data solve the Riemann Hypothesis? - Data Science Central2020-04-05T23:03:15Zhttps://www.datasciencecentral.com/profiles/comment/feed?attachedTo=6448529%3ABlogPost%3A386071&xn_auth=noJustin Veenstra's comment bel…tag:www.datasciencecentral.com,2018-08-21:6448529:Comment:7527112018-08-21T17:05:09.487ZJohn Lewishttps://www.datasciencecentral.com/profile/JohnLewis
<p><span>Justin Veenstra's comment below has given us the proper use of the Reimann Hypothesis. It may fall into that category of "absolute presuppositions" as described by R. G. Collingwood in </span><span style="text-decoration: underline;">Metaphysics</span><span>. Its role, like cause and effect, is not to be proven. It is to be assumed so that we can get on with the business of science, mathematics, banking and our everyday lives. </span></p>
<p><span>Justin Veenstra's comment below has given us the proper use of the Reimann Hypothesis. It may fall into that category of "absolute presuppositions" as described by R. G. Collingwood in </span><span style="text-decoration: underline;">Metaphysics</span><span>. Its role, like cause and effect, is not to be proven. It is to be assumed so that we can get on with the business of science, mathematics, banking and our everyday lives. </span></p> Oh, not everyone is CS. I cam…tag:www.datasciencecentral.com,2016-02-15:6448529:Comment:3876632016-02-15T18:21:21.687ZJustin Veenstrahttps://www.datasciencecentral.com/profile/JustinVeenstra
Oh, not everyone is CS. I came to it through statistics, and math.
Oh, not everyone is CS. I came to it through statistics, and math. Justin, agree with both comme…tag:www.datasciencecentral.com,2016-02-15:6448529:Comment:3876622016-02-15T18:04:36.850ZMike Morganhttps://www.datasciencecentral.com/profile/MikeMorgan
<p>Justin, agree with both comments. You can take derivatives with respect to s, but not to n. I'm very glad to run across posts like Eduardo's and yours. I'm relatively new to data science, and I'm happy that not everyone is (strictly) a computer scientist.</p>
<p>Justin, agree with both comments. You can take derivatives with respect to s, but not to n. I'm very glad to run across posts like Eduardo's and yours. I'm relatively new to data science, and I'm happy that not everyone is (strictly) a computer scientist.</p> Oh, and the Reimann zeta func…tag:www.datasciencecentral.com,2016-02-15:6448529:Comment:3879112016-02-15T17:57:23.180ZJustin Veenstrahttps://www.datasciencecentral.com/profile/JustinVeenstra
Oh, and the Reimann zeta function is continuous...
Oh, and the Reimann zeta function is continuous... Mike: I agree that the Reiman…tag:www.datasciencecentral.com,2016-02-15:6448529:Comment:3878162016-02-15T17:56:36.756ZJustin Veenstrahttps://www.datasciencecentral.com/profile/JustinVeenstra
Mike: I agree that the Reimann hypothesis is likely true. I've assumed it in a few proofs myself. What I'm saying is that big data cannot be used to prove it.
Mike: I agree that the Reimann hypothesis is likely true. I've assumed it in a few proofs myself. What I'm saying is that big data cannot be used to prove it. I think the problem may lie i…tag:www.datasciencecentral.com,2016-02-15:6448529:Comment:3878122016-02-15T17:47:52.960ZMike Morganhttps://www.datasciencecentral.com/profile/MikeMorgan
<p>I think the problem may lie in the discrete (i.e., non-continuous) nature of the formula. No person can count to infinity, but you sure can derive the limiting value of something if it's continuous. Or some combination of continuous functions, but with discrete parameters (e.g., Fermat's last theorem). I'm not a highly trained mathematician, but I appreciate the value of having a pencil nearby. I do have to disagree with Justin, respectfully. I believe that mathematicians on occasion…</p>
<p>I think the problem may lie in the discrete (i.e., non-continuous) nature of the formula. No person can count to infinity, but you sure can derive the limiting value of something if it's continuous. Or some combination of continuous functions, but with discrete parameters (e.g., Fermat's last theorem). I'm not a highly trained mathematician, but I appreciate the value of having a pencil nearby. I do have to disagree with Justin, respectfully. I believe that mathematicians on occasion invoke the Reimann hypothesis to prove other theorems.</p> Justin -You are totally right…tag:www.datasciencecentral.com,2016-02-13:6448529:Comment:3873192016-02-13T19:37:08.078ZEduardo Simanhttps://www.datasciencecentral.com/profile/EduardoSiman
Justin -You are totally right. But maybe we will learn something about analytic number theory?
Justin -You are totally right. But maybe we will learn something about analytic number theory? Unfortunately, there are an i…tag:www.datasciencecentral.com,2016-02-12:6448529:Comment:3870362016-02-12T21:26:36.445ZJustin Veenstrahttps://www.datasciencecentral.com/profile/JustinVeenstra
Unfortunately, there are an infinite number of possibilities for the Reimann hypothesis to be true, and only one necessary for it to fail. So while searching for zeroes in a huge dataset is a possible method to disproving the Riemann hypothesis, it's not even close to a method of proof. Even if you inscribed a number on every atom of the universe, you wouldn't hit infinity. Datasets such as the ones on Prof. Odzlyko's website are meant as curiosity pieces, or to look for patterns, or to check…
Unfortunately, there are an infinite number of possibilities for the Reimann hypothesis to be true, and only one necessary for it to fail. So while searching for zeroes in a huge dataset is a possible method to disproving the Riemann hypothesis, it's not even close to a method of proof. Even if you inscribed a number on every atom of the universe, you wouldn't hit infinity. Datasets such as the ones on Prof. Odzlyko's website are meant as curiosity pieces, or to look for patterns, or to check for counterexamples. Not as a method of proof.