I thought these thoughts a few weeks ago and thought I originated them(lol): " "Whatever is possible must also exist (somewhere)" now tell me who is the originator?
The numbers people in the room sure are passionate about the truth of the matter. That said, I am a humble potter who so appreciates these videos while the wheel goes round and the mud flies. thank you
Your assumptions go beyond a list. Plato skipping the essentials of measurement that were needs to mix with pleasure ... the later is your real concern.. while Plato recommended unit fraction measurement skills, a topic you have not studied in a serious manner. Best Regards, Milo Gardner
Plato's math is found on Planetmath. A link to the entry does not work, so take your time and visit Planetmath and read up on Greek arithmetic per Plato's words. Archimedes' calculus is also written up on Planetmath.
@2000olim My approach is to work sort of like how i believe the the human mind to work in that i am starting somewhat blurry and muddled and large-picture and then later on refining and being more precise. But i agree i should take a moment to clarify what mathematical platonism is. As far as the republic's 5 mathematical categories goes from the republic, the Philebus is more relevant here, so i have left that out. This is a good article though on planetmath. My other vids relate to it more
Thank you for noticing Archimedes ' calculus. There is much more to the story ... I'll be posing Plato's actual arithmetic that was the historical foundation for the math that you have muddled in serious ways. Best Regards, Milo Gardner
@2000olim If i have muddled Plato's math it is only because I have skipped over the basic Platonic perspective and sort of taken as given that the audience knows it. Planetmath mentions Plato's breaking mathematics into the 5 categories (the fifth of which is music) but it doesn't mention Plato's more advanced (chronologically and developmentally speaking) mathematics of the later Philebus dialogue.
@GaryGeckDotCom ps i shouldn't say the mathematics of the philebus, i should say platonism of the philebus because it's more general...but the philebus is what Cantor wanted attention drawn to in his Grundlagen.
Archimedes' calculus ... reported by Heiberg in 1906 and Dijksterhuis "Archimedes" 1987 (Princeton Press) Greeks defined geometric problems in a 1/4 geometric series (ie. area of a parabola 4A/3 = A + A/4 + A/16 + A.64 + ..,. + A/4n + ...)
and solved the problem by finding a closely related finite series( ie 4A/3 = A + A/4 + A/12), hence outside of historical Platonic solids and neo-Pythagorean and neo-Platonic laws discussed on this YouTube presentation. Best Regards, Milo Gardner
@2000olim In part 1 i show in a slide Archimedes' recently discovered writings on the subject you mention. But you raise a good point that I would never dispute: the Platonic/Pythagorean tradition certainly has no monopoly over the mysteries and usefulness of infinitary concepts.
@jimmydu444 Not really that high..in undergrad college the highest i took was calculus 2 and a few classes on discrete math and logic. Nothing graduate and nothing that high...but maybe in the near future i will take graduate level courses in these subjects...mostly self taught in a lot of these areas.
@GaryGeckDotCom PS Computer science was my major so i didn't have to take that much math...just up to calc 2 and lots of discrete math/logic...like i said mostly self taught in math...
quit relying so heavily on visual and audio effects. The content that the viewers are interested in is the actual math and history. The background music is fine as long as it doesn't conflict with hearing your voice, but I personally appreciate the information more than the presentation.
I thought these thoughts a few weeks ago and thought I originated them(lol): " "Whatever is possible must also exist (somewhere)" now tell me who is the originator?
examinfo 4 months ago
The numbers people in the room sure are passionate about the truth of the matter. That said, I am a humble potter who so appreciates these videos while the wheel goes round and the mud flies. thank you
MsLettucelady 4 months ago
@MsLettucelady You're welcome :)
GaryGeckDotCom 4 months ago
I love how you infused the "rebel" look of your videos with highly sophisticated material. Awesome.
GMScorpion 4 months ago
Gary,
Gary,
Your assumptions go beyond a list. Plato skipping the essentials of measurement that were needs to mix with pleasure ... the later is your real concern.. while Plato recommended unit fraction measurement skills, a topic you have not studied in a serious manner. Best Regards, Milo Gardner
2000olim 7 months ago
Plato's math is found on Planetmath. A link to the entry does not work, so take your time and visit Planetmath and read up on Greek arithmetic per Plato's words. Archimedes' calculus is also written up on Planetmath.
Best Regards, Milo Gardner
2000olim 7 months ago
@2000olim My approach is to work sort of like how i believe the the human mind to work in that i am starting somewhat blurry and muddled and large-picture and then later on refining and being more precise. But i agree i should take a moment to clarify what mathematical platonism is. As far as the republic's 5 mathematical categories goes from the republic, the Philebus is more relevant here, so i have left that out. This is a good article though on planetmath. My other vids relate to it more
GaryGeckDotCom 7 months ago
Gary,
Thank you for noticing Archimedes ' calculus. There is much more to the story ... I'll be posing Plato's actual arithmetic that was the historical foundation for the math that you have muddled in serious ways. Best Regards, Milo Gardner
2000olim 7 months ago
@2000olim If i have muddled Plato's math it is only because I have skipped over the basic Platonic perspective and sort of taken as given that the audience knows it. Planetmath mentions Plato's breaking mathematics into the 5 categories (the fifth of which is music) but it doesn't mention Plato's more advanced (chronologically and developmentally speaking) mathematics of the later Philebus dialogue.
GaryGeckDotCom 7 months ago
@GaryGeckDotCom ps i shouldn't say the mathematics of the philebus, i should say platonism of the philebus because it's more general...but the philebus is what Cantor wanted attention drawn to in his Grundlagen.
GaryGeckDotCom 7 months ago
Milo Gardner, thanks for all of the responses.
GaryGeckDotCom 7 months ago
Archimedes' calculus ... reported by Heiberg in 1906 and Dijksterhuis "Archimedes" 1987 (Princeton Press) Greeks defined geometric problems in a 1/4 geometric series (ie. area of a parabola 4A/3 = A + A/4 + A/16 + A.64 + ..,. + A/4n + ...)
and solved the problem by finding a closely related finite series( ie 4A/3 = A + A/4 + A/12), hence outside of historical Platonic solids and neo-Pythagorean and neo-Platonic laws discussed on this YouTube presentation. Best Regards, Milo Gardner
2000olim 7 months ago
@2000olim In part 1 i show in a slide Archimedes' recently discovered writings on the subject you mention. But you raise a good point that I would never dispute: the Platonic/Pythagorean tradition certainly has no monopoly over the mysteries and usefulness of infinitary concepts.
GaryGeckDotCom 7 months ago
Hi Gary,
I'm very flattered that you cited my research on Cantor. Infinity is my favourite topic ever.
Yours,
Dr Anne Newstead
TheAlephgirl 9 months ago
Hi Gary,
I'm very flattered that you cited my research on Cantor. Infinity is my favourite topic ever.
Yours,
Dr Anne Newstead
TheAlephgirl 9 months ago
Gary, just a personal curiosity, but have you ever taken a higher mathematics course?
jimmydu444 9 months ago
@jimmydu444 Not really that high..in undergrad college the highest i took was calculus 2 and a few classes on discrete math and logic. Nothing graduate and nothing that high...but maybe in the near future i will take graduate level courses in these subjects...mostly self taught in a lot of these areas.
GaryGeckDotCom 9 months ago
@GaryGeckDotCom PS Computer science was my major so i didn't have to take that much math...just up to calc 2 and lots of discrete math/logic...like i said mostly self taught in math...
GaryGeckDotCom 9 months ago
@GaryGeckDotCom I got A-'s in those courses too...never an A but never a B either...
GaryGeckDotCom 9 months ago
where the hell is part three?
RavioliOfTheCan 11 months ago
Cymro: by part 42 i will have gotten to the point.
GaryGeckDotCom 11 months ago
Get to the fucking point!
CymroGoch 11 months ago
quit relying so heavily on visual and audio effects. The content that the viewers are interested in is the actual math and history. The background music is fine as long as it doesn't conflict with hearing your voice, but I personally appreciate the information more than the presentation.
Dyronicus 1 year ago
Impressive and handsome video, GG!
emibronte 1 year ago