tag:blogger.com,1999:blog-3722233.post4564344477760220378..comments2024-08-03T11:58:59.111-05:00Comments on Computational Complexity: Avi Wigderson is a counterexample to TWO stupid thoughts of G.H. HardyLance Fortnowhttp://www.blogger.com/profile/06752030912874378610noreply@blogger.comBlogger11125tag:blogger.com,1999:blog-3722233.post-29260818412621218752024-05-25T14:37:57.607-05:002024-05-25T14:37:57.607-05:00(Bill) The people working on Factoring algorithms ...(Bill) The people working on Factoring algorithms have used number theory and also found questions to work on to prove their run time (still largely based on conjectures). Your comment on D and G gives me a chance to clarify: SOME NT is related to SOME crypto. I did not mean to say that ALL NT (including D and G) is related to ALL crypto. Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-20962180056883316492024-05-25T14:16:09.139-05:002024-05-25T14:16:09.139-05:00You are Wrong Buddy and you have a very very Wrong...You are Wrong Buddy and you have a very very Wrong understanding of Pure Mathematics. Lastly Cryptography Is based on Number Theory but that doesn't mean Cryptography motivated Number Theory. How work of Delign and Grothendieck have any consequences in Cryptography ??Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-18803382472654212522024-04-15T23:27:41.316-05:002024-04-15T23:27:41.316-05:00My latest efforts to solve P vs NP problem:
https...My latest efforts to solve P vs NP problem:<br /><br />https://vixra.org/pdf/2404.0074v1.pdf<br /><br />Yuly Shipilevskynoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-82173967562169059402024-04-15T18:59:36.685-05:002024-04-15T18:59:36.685-05:00Young ones as they become old ... 1. Different fie...Young ones as they become old ... 1. Different fields 2. Not enough prof jobs and decided to change careers 3. Not motivated enough since have life to take care off etc.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-42488100859275731132024-04-15T16:49:09.233-05:002024-04-15T16:49:09.233-05:00There's a survivor's bias here--the older ...There's a survivor's bias here--the older people we here about are the ones that are active. But the theory conferences back in the day are similar to today--dominated by the young. Where did all those young people go?Lance Fortnowhttps://www.blogger.com/profile/06752030912874378610noreply@blogger.comtag:blogger.com,1999:blog-3722233.post-86463997742155078442024-04-15T13:51:15.231-05:002024-04-15T13:51:15.231-05:00(Bill) I didn't know Serre was still alive! He...(Bill) I didn't know Serre was still alive! He is, at 97. Thanks!Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-65996693386128138702024-04-15T13:50:48.210-05:002024-04-15T13:50:48.210-05:00(Bill) Lets say you lose some sharpness (thats rea...(Bill) Lets say you lose some sharpness (thats reasonable). But at an older age you KNOW more and have had more experience, so that might compensate. Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-12888013261644176462024-04-15T13:39:50.598-05:002024-04-15T13:39:50.598-05:00Serre's latest arxiv output https://arxiv.org/...Serre's latest arxiv output https://arxiv.org/search/?searchtype=author&query=Serre%2C+JAnonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-12460513597513656282024-04-15T13:37:45.365-05:002024-04-15T13:37:45.365-05:00JP Serre is in his 90s and sill gives technical le...JP Serre is in his 90s and sill gives technical lectures.. he is the youngest Fields medal winner as well. T. Tao as he is turning 50 next year and he is just getting started on remaking math culture through lean. Once done he will surely move to something else. But I agree.. the chances you get to learn a new field diminishes as you get older since there are lot of barriers and tricks to learn any new field. That includes baking.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-46913092766016010732024-04-15T12:52:43.151-05:002024-04-15T12:52:43.151-05:00Age is a real thing. As we get older, our brain se...Age is a real thing. As we get older, our brain seem to slow down and we focus more on exploiting what we have rather than exploring new things. Both are well-known phenomenons.<br /><br />Is 40 the peak point? I don't know. Maybe 50? Maybe 60? Also depends on the person and their life style.<br /><br />If you take a distribution of major advancements against their age, historically I think 40 might seem a reasonable peak. Doesn't mean post-40 we cannot do anything, but the likelihood goes down.<br /><br />From goals perspectives, people also transition from trying to achieve things themselves to trying to leave a legacy through others (children, student, mentee, ...). <br /><br />One of the reasons that Geoffrey Hinton gave recently (at ~75 years old) for focusing more on philosophical and ethical aspects of AI was he is not feeling that he is sharp enough technically as he used to be.<br /><br />I think it is a disservice to ourselves to not acknowledge what we lose with age and not cherish what we can do with age. E.g. writing books that share the deep insights one has gained through a lifetime of working in an area as an expert is of great value to the society and next generation.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3722233.post-86648695792835861662024-04-15T10:21:15.843-05:002024-04-15T10:21:15.843-05:00At least Yitang Zhang's age was the average tw...At least Yitang Zhang's age was the average two twin primes (if we allow for Grothendieck's).Anonymousnoreply@blogger.com