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katastrofa
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Re: Philosophy of Mathematics

May 24th, 2020, 1:47 pm

And the most charismatic (and clever ever) is

www.youtube.com/watch?v=vLbllFHBQM4

IMO the best American mathematician of the 20th century.
Stefan Banach. No show-off, pure born genius. Connects to JvN via Stan Ulam - Banach's student at Lviv Polytechnic Institute and the Manhattan Project participator.
Good old times when knowledge and talent had more impact on science and world than manipulations, politics and hypes.
I can't wait for the whole AI bull**** to end, and we invest in some serious science. AI algos and tools are like malware exploit kits - every idiot can use them and cause a disruption.
 
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Cuchulainn
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Re: Philosophy of Mathematics

May 24th, 2020, 8:11 pm

You see that line? Weill, it's a set of measure zero. You can ignore it when integrating.

Image
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katastrofa
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Re: Philosophy of Mathematics

May 25th, 2020, 11:03 am

Maybe I'm strange, but I see residua.
Image
 
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Cuchulainn
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Re: Philosophy of Mathematics

May 25th, 2020, 2:22 pm

Maybe I'm strange, but I see residua.
Poles apart?
That line _is_ complex.
Step over the gap, not into it. Watch the space between platform and train.
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Cuchulainn
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Re: Philosophy of Mathematics

May 26th, 2020, 10:29 am

And the most charismatic (and clever ever) is

www.youtube.com/watch?v=vLbllFHBQM4

IMO the best American mathematician of the 20th century.
Stefan Banach. No show-off, pure born genius. Connects to JvN via Stan Ulam - Banach's student at Lviv Polytechnic Institute and the Manhattan Project participator.
Good old times when knowledge and talent had more impact on science and world than manipulations, politics and hypes.
I can't wait for the whole AI bull**** to end, and we invest in some serious science. AI algos and tools are like malware exploit kits - every idiot can use them and cause a disruption.
A short history of AI (I remember the early 1990s)

https://en.wikipedia.org/wiki/AI_winter

Enthusiasm and optimism about AI has increased since its low point in the early 1990s. Beginning about 2012, interest in artificial intelligence (and especially the sub-field of machine learning) from the research and corporate communities led to a dramatic increase in funding and investment.
Step over the gap, not into it. Watch the space between platform and train.
http://www.datasimfinancial.com
http://www.datasim.nl
 
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Cuchulainn
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Re: Philosophy of Mathematics

May 26th, 2020, 7:58 pm

What about Cybernetics == protean AI?

https://en.wikipedia.org/wiki/Cybernetics

Cybernetics in the Soviet Union was initially considered a "pseudoscience" and "ideological weapon" of "imperialist reactionaries" (Soviet Philosophical Dictionary, 1954) and later criticised as a narrow form of cybernetics.[15] In the mid to late 1950s Viktor Glushkov and others salvaged the reputation of the field. Soviet cybernetics incorporated much of what became known as computer science in the West.[16]
Step over the gap, not into it. Watch the space between platform and train.
http://www.datasimfinancial.com
http://www.datasim.nl
 
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Cuchulainn
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Re: Philosophy of Mathematics

June 4th, 2020, 7:29 pm

Step over the gap, not into it. Watch the space between platform and train.
http://www.datasimfinancial.com
http://www.datasim.nl
 
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quartz
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Re: Philosophy of Mathematics

July 13th, 2020, 2:56 pm

Physicists and mathematicians  The former tend to have their heroes, mathematicians not. Why?
We have a bunch. Some have Erdös or the like, for me of course it's De Finetti.
 
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katastrofa
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Re: Philosophy of Mathematics

July 14th, 2020, 8:25 pm

Physicists and mathematicians  The former tend to have their heroes, mathematicians not. Why?
We have a bunch. Some have Erdös or the like, for me of course it's De Finetti.
Amen. I have no idea why he's called a subjectivist, while he showed that, objectively, Kolmogorov's "axioms" don't stand.
 
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quartz
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Re: Philosophy of Mathematics

July 16th, 2020, 10:45 am

Amen. I have no idea why he's called a subjectivist, while he showed that, objectively, Kolmogorov's "axioms" don't stand.
Good take, yet he also meant truth and objectivity do not exist either, and all we're left with are consistency degrees of belief (or belief degrees of consistency?).
Conversely, Kolmogorov himself as a determinist did not see his axioms as reflecting objective probabilities either, so I found it all quite puzzling at first. Before discovering subjectivists who conceded to objective probabilities.
 
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Collector
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Re: Philosophy of Mathematics

July 16th, 2020, 11:44 am

Luckily there exist absolute truth at the depth of reality! (Polluted out beyond recognition by modern science and modern "philosophers"). Yes Probabilities, all probabilities collapses at the Planck scale, and even math cannot escape from it, as math must come in bits!

The bad news, the absolute truth dissolve very quickly, and then we are back to probabilities and mathematical tea leaves where only the shadows of objectivity remains!
 
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katastrofa
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Re: Philosophy of Mathematics

July 17th, 2020, 6:45 pm

Amen. I have no idea why he's called a subjectivist, while he showed that, objectively, Kolmogorov's "axioms" don't stand.
Good take, yet he also meant truth and objectivity do not exist either, and all we're left with are consistency degrees of belief (or belief degrees of consistency?).
Conversely, Kolmogorov himself as a determinist did not see his axioms as reflecting objective probabilities either, so I found it all quite puzzling at first. Before discovering subjectivists who conceded to objective probabilities.
As a physicist, I prefer de Finetti too. I believe that mathematical convention shouldn't guide the design of models of reality (even if I can understand where people with a different opinion are coming from), and that's what happened in Kolmogorov's "unification" of preceding probability theories. What's more, de Finetti's theory provides an intuitive interpretation of quantum mechanics - physics would be more natural and healthy if physicists dropped the artificial Kolmogorov's axioms on this occasion.
 
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Collector
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Re: Philosophy of Mathematics

July 18th, 2020, 1:31 pm

Dear Prof.XX,
Why on earth have you sent your manuscript to a philosophy journal? It is plainly not philosophy as philosophers define it. I can't possibly consider it for publication.
Yours truly,
Prof YY

--

Dear Prof. YY, 
I think you over generalize the philosophers how they define philosophy, they are not one grope and can not even agree what philosophy is!

Enjoy Your Summer!
Prof. XX

--

But they know it when they see it, and so do I. Your manuscript may well be what non-philosophers call philosophical, but philosophers see a difference between what is philosophical and what is philosophy.
Prof. YY

--

Thank you for your philosophical views and a quick decision.
Kind Regards,
Prof. XX


PS: Do not expect any agreements on this thread! This thread is clearly just philosophical and not Philosophy! Pls re-name thread to: "Philosophical Mathematics" (so we do not upset the true Prof. philosophers).
 
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katastrofa
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Re: Philosophy of Mathematics

July 18th, 2020, 10:15 pm

Epistemological truth or ontological true? Because it is true what you're saying only if what you're saying is the case :-P
That's Viking science! If you jump into someone's sandbox and destroy their castles, they will chase you away, like proto-Vikings were chased away from Ukraine (but then invited back to cooperate). I suspect they would be more open if your paper showed were you're coming from - either by relating your work to their work and/or classics, or perhaps to your physics papers and theories? Ideally all of it.
 
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Collector
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Re: Philosophy of Mathematics

July 19th, 2020, 1:54 pm

"That's Viking science!" ..... "more open if your paper showed were you're coming from"

They clearly show I come from Viking land, this is not something I try to hide! My book also had a picture of a Sword on one of the first pages! And the most humble philosophical phrase I could come up with at that moment in time

Screen Shot 2020-07-19 at 4.00.18 PM.png
[/font]

(why equation there? the sword of the philosophers has a lot of rest-mass energy!)
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