Pity the community of mathematicians having to deal with this man who thinks SOOOOOOOOOOOOOO outside the box. His project will probably have to wait. Sad he left us so soon.
Yes, indeed- like Grassmann's ideas. On the other hand, it seems that computers will verify proofs of ever increasing length, which is certainly disconcerting to those who work with paper and pen.
@Calum Tatum Once pen and paper mathematicians figure out how to express their ideas using definitions and structures that are precise enough to be investigated/verified by a computer (a.k.a "virtual graduate student"), I think the status quo will change fairly rapidly. At least I hope so.
@@JoelHealy Perhaps many of the pen and paper mathematicians will never change, and never get a hang of using a proof assistant. But if they are open-minded, they can play a role like system analysts working with coders. They will have grad students who grew up coding proofs into a proof assistant, they are digital natives. The transition will be difficult for many mathematicians and departments, but it can be made smoother. User friendly interfaces to the next generation of proof assistants, or even Lean if they bring back HoTT compability in some (cubical?) version, would be a great help.
Most people who think outside the box would be cast aside by the community. It was great for maths that he had fields medal to boost his credentials. He was also humble enough to introspect many flaws in his older papers.
This talk was from time to time hard to understand, but it is such mind expanding that is thing that you must watch. Requiesciat in pace Voevodsky, you were a great mathematician.
Pity the community of mathematicians having to deal with this man who thinks SOOOOOOOOOOOOOO outside the box. His project will probably have to wait. Sad he left us so soon.
Yes, indeed- like Grassmann's ideas. On the other hand, it seems that computers will verify proofs of ever increasing length, which is certainly disconcerting to those who work with paper and pen.
@Calum Tatum Once pen and paper mathematicians figure out how to express their ideas using definitions and structures that are precise enough to be investigated/verified by a computer (a.k.a "virtual graduate student"), I think the status quo will change fairly rapidly. At least I hope so.
Voevodsky was very self-conscious men, that think outside the big box, I admire him very much.
@@JoelHealy Perhaps many of the pen and paper mathematicians will never change, and never get a hang of using a proof assistant. But if they are open-minded, they can play a role like system analysts working with coders. They will have grad students who grew up coding proofs into a proof assistant, they are digital natives. The transition will be difficult for many mathematicians and departments, but it can be made smoother. User friendly interfaces to the next generation of proof assistants, or even Lean if they bring back HoTT compability in some (cubical?) version, would be a great help.
Most people who think outside the box would be cast aside by the community. It was great for maths that he had fields medal to boost his credentials. He was also humble enough to introspect many flaws in his older papers.
This talk was from time to time hard to understand, but it is such mind expanding that is thing that you must watch.
Requiesciat in pace Voevodsky, you were a great mathematician.
Great Mathematicians are immortal, they live on in us.
@@StephenPaulKing I hope we will worth of their legacy.
well he is not native
1:32:00 "There is not mathematical definition what stupid means." :D
This is the new mathematics of foundations. Not new foundations.