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site title: Mathematics under the Microscope Atomic objects, structures and concepts of mathematics

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already purged of most intellectual content an example look at roles of people in the over regulated and dehumanised administrative structures in british universities about 15 years ago one of my young colleagues a talented mathematician leaving academia and a university career to work in a start up told me my new task is to make middle level managers unemployed in short ai is the replacement of robotic humans with pseudo humanoid robots my neologism for robots pretending to be superhumans 2 comments posted in uncategorized posted by alexandre borovik april 22 2023 no man is an iland i placed the two first lines of this famous john donne s poem in my mathematics paper as an epigraph this is the whole poem no man is an iland intire of itselfe every man is a peece of the continent a part of the maine if a clod bee washed away by the sea europe is the lesse as well as if a promontorie were as well as if a manor of thy friends or of thine owne were any mans death diminishes me because i am involved in mankinde and therefore never send to know for whom the bell tolls it tolls for thee this is meditation xvii from devotions upon emergent occasions by john donne 1623 the date is unbelievable 400 years ago 3 comments posted in uncategorized posted by alexandre borovik april 18 2023 a letter to colleagues a letter to mathematics and computer science colleagues dear colleagues very recently i wrote to a few friends saying that i expected chatgpt in its next version becoming able to solve every algebra and calculus problem in a level the end of school exams in england and similar school exams in other countries for that chatgpt simply should be shown how to identify what looks as an algebraic logarithmic differential etc equation or a system of equations or inequalities and plug this thing into one of already existing maths problems solvers for example the universal math solver https universalmathsolver com it does more than finding an answer it produces a complete step by step write up of a solution but this important symbolic threshold was passed much earlier than i expected conrad wolfram posted on his blog on 23 march an announcement game over for maths a level https www conradwolfram com writings game over for maths a level a quote the combination of chatgpt with its wolfram plug in just scored 96 in a uk maths a level paper the exam taken at the end of school as a crucial metric for university entrance that compares to 43 for chatgpt alone this means that undergraduate pre calculus and calculus undergraduate exams will follow quickly i think it is dangerous to sit and wait while we are overrun by events i suggest that we have to address the issues on the global scale changes in the technological and socio economic environments of education will soon affect hundreds of millions of children in dozens of countries and later become truly global it is the scale of the problem which is the issue there is nothing special in the chatgpt it is only one of a dozen ai systems of enhanced functionality which have suddenly appeared on the market they are pushed by some of the mightiest transnational corporations to the market where unlike many other markets the rules of the supply side economics apply in their full strength remember the story of ipod or selfie sticks it does not matter what we think and feel about the ai very soon it will be everywhere around us it was marx who said supply takes demand if necessary by force a classical example which is likely to be reproduced in the case of ai is the multibillion pet food industry the concept of pet food was invented and forced on people now called in tv commercials pet parents in the late 1950s by the american meat packing industry which by that time completely saturated the american market for human consumption and looked for new directions to expand for billions of people around the globe ai will become an intellectual pet food for the masses and we have to take into account that the supply side push of the ai on people is likely to be a total assault in all spheres of human activity much wider than education in many countries politicians state bureaucrats theoreticians of mathematics education and school teachers led by them made everything possible to turn students into a kind of biorobots trained for passing school exams and here comes the moment of truth if real robots pass exams with much better marks what is the purpose of the current model of mathematics education and we should not be distracted by general philosophical questions of the kind can machine learning produce sentient beings the real and immediate issue is the disruption which will be caused by still non sentient ai in the human society made of sentient beings it is interesting to glimpse a politician s view of these issues please see below some examples of uses of mathematics as given by rishi sunak prime minister of the uk in his speech on improving attainment in mathematics 17 april 2023 https www gov uk government speeches pm speech on improving attainment in mathematics 17 april 2023 interestingly the speech was given at the london screen academy this is why examples start with visual effects etc you can t make visual effects without vectors and matrices you can t design a set without some geometry you can t run a production company without being financially literate and that s not just true of our creative industries it s true of so many of our industries in healthcare maths allows you to calculate dosages in retail data skills allow you to analyse sales and calculate discounts and the same is true in all our daily lives from managing household budgets to understanding mobile phone contracts or mortgages with a possible exception of the first line about visual effects 1 all that in 5 or at most 10 years from now will be done by a combination of ai and specialist mathematics or maybe accounting tools and done much better than 90 of people can do for example an app on a smartphone which has access to all financials accounts of the owner bank accounts credit cards tax account mortgage etc and linked to powerful ai servers on the internet will be able to take care of household budgets this app will ask the user after each contactless payment in the shop under which heading this payment should be entered in the ledger of the household budget offering most likely options maybe deducing them from the shops names like mothercare or bargain booze it is widely accepted now that in most areas of human activity chatgpt and other ai systems are no more than imposters faking answers to questions they do not understand however routine mathematical by their nature tasks of household budgeting etc are likely to be important exceptions because they are intrinsically well structured and less ambiguous and ai paired with mathematical problem solving software will pass standard school exams better than students or their teachers can do i summarise the situation in three bullet points what we see now is a slow motion car crash of the traditional model of mathematics education sunak and practically everyone in the area of education policy are asleep at the wheel and do not see the road ahead but in the education policy we have to look at least 14 years ahead this is the length of school education in the uk from 4 to 18 years of age most politicians are able to think ahead only on the time scale of the election cycle 4 or 5 years they cannot comprehend the scale of quantities and magnitudes the latter include time involved in economic and social problems and even less so in all the mess around the climate change most politicians lack basic skills of project management and do not understand that work on a serious project should start with the step by step reverse planning from the target to the present position this why i appeal to professional mathematicians and computer scientists of all people involved in some way in mathematics computer science education you are perhaps the only ones free from mental handicaps listed in the three bullet points above let us discuss at first perhaps only in our circle this fundamental question what kind of mathematics education is needed in the era of ai perhaps we have to split the question what kind of mathematics should be taught a to future developers controllers masters of ai b to the general public the users and perhaps victims of ai if these questions are not answered in our professional communities we should not expect an answer coming from elsewhere alexandre borovik 18 april 2023 http www borovik net selecta the electrician by boris eldagsen this ai generated image winning a prestigious sony world photography award https www theguardian com technology 2023 apr 17 photographer admits prize winning image was ai generated 1 but perhaps this is no longer an exception see a recent scandal an ai generated image winning a prestigious sony world photography award https www theguardian com technology 2023 apr 17 photographer admits prize winning image was ai generated 3 comments posted in uncategorized posted by alexandre borovik march 20 2023 a renewed call to the international mathematical community for the support of azat miftakhov who is facing a likely new criminal prosecution of fabricated charges reposted from caseazatmiftakhov the azat miftakhov committee renews its appeal to the international mathematical and scientific community for the support of azat miftakhov this call is made more urgent by the recently confirmed information that the fsb is currently in the process of fabricating a new criminal case against azat which may result in an additional lengthy prison sentence for him azat miftakhov an opposition pro democracy activist in russia was originally arrested by the fsb on february 1 2019 in moscow except for a brief few hours release on february 7 2019 he has remained imprisoned since then at the time of his arrest azat miftakhov was a mathematics graduate student in the faculty of mathematics and mechanics of the moscow state university azat was charged in relation to the january 2018 political protest at an office of the united russia party in moscow that came to be known as the broken window case while in pretrial detention azat was extensively tortured by the guards in the attempt to extract a false confession the premier russian human rights organization memorial recognized azat as a political prisoner and his case attracted widespread attention both in russia and internationally azat has always maintained his innocence of the false charges against him from the time of his february 2019 arrest numerous mathematicians scholars and mathematical societies have expressed support for azat and called for his freedom after multiple delays azat s court trial took place in moscow in the fall of 2020 the trial was marked by numerous human rights violations including the prosecution s use of secret government witnesses and of testimony of a prosecution witness who died in 2020 while in prison in a grotesque abuse of justice on january 18 2021 the court in moscow found azat guilty of hooliganism and sentenced him to six years imprisonment in a penal labor colony azat is currently serving that sentence at a colony in omutninsk while imprisoned azat became a key symbol of the struggle against the brutal oppression of putin s regime and for democracy and freedom in russia azat s bravery and steadfast determination in the face of torture intimidation and unjust imprisonment on false charges continue to inspire many that role became even more vital after putin unleashed a bloody fratricidal war on ukraine in february 2022 since the start of the war the russian government s suppression of any type of dissent and opposition in the country has grown ever more brutal and complete people like azat who continue to stand up to this oppression provide hope and inspiration to all those fighting for a free peaceful and democratic russia for that reason the russian authorities continue to view azat as a threat azat is currently scheduled to be released on september 23 2023 however as we recently reported it appeared that the fsb was preparing to fabricate a new criminal case against azat unfortunately this information has now been confirmed according to multiple news reports that directly quote the fsb itself even though azat has been imprisoned for over four years the fsb is apparently planning to accuse him of being a member of the so called network anti government group an umbrella charge that the russian government has been using to persecute numerous opposition activists reports indicate that the fsb has extracted coerced false testimony against azat from at least one other prisoner whom they were interrogating at the infamous lefortovo prison in moscow if convicted on these new fabricated charges azat would face a much longer additional prison sentence likely in even harsher conditions according to azat s family azat is aware of these developments and is preparing to face them azat miftakhov is our mathematical colleague and a courageous and admirable young man even while being imprisoned he continued conducting mathematical research and published a new mathematical research article in 2021 azat s conviction in january 2021 on false charges represented a blatant case of political persecution and abuse of justice by the russian authorities any additional prosecution of azat would be even more outrageous and intolerable at this fraught and difficult moment we call on the international mathematical and scientific community to renew their support for azat miftakhov azat needs and deserves our help and solidarity we continue to demand azat s immediate and unconditional release the azat miftakhov committee 2 comments posted in uncategorized posted by alexandre borovik march 20 2023 mathematicians wish azat a happy birthday mathematicians wish azat a happy birthday post author by caseazatmiftakhov post date march 19 2023 no comments on mathematicians wish azat a happy birthday azat miftakhov celebrates his 30th birthday the fifth in prison on march 21 on this occasion many mathematicians from all over the world sent him their best wishes and expressed their solidarity university of tokyo mathematical sciences research institute berkeley max planck institut bonn university of california at los angeles warmest birthday greetings azat may you have success in all things professor barry mazur harvard 2 comments posted in uncategorized older posts categories uncategorized search this blog recent posts the tool weapon duality of mathematics message by a political prisoner on his birthday my answer on quora can i forget a topic in mathematics even after doing large amounts of practice tony gardiner 1947 2024 smolny beyond borders ai replacement of robotic humans with pseudo humanoid robots no man is an iland a letter to colleagues a renewed call to the international mathematical community for the support ...
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