I have only very vague exposure to philosophy of math, and your discussions are a great way for me to dip in a little. The ideas are very interesting, and your summaries are far less intimidating than actually going out an trying to read one of these books. Thanks! Have you considered packaging these as a podcast? I know there's millions of podcasts these days, but these would be great for car trips or dishwashing. (And you gotta space them out! Surely you can't maintain this pace indefinitely?)
I am glad you are enjoying the videos! I got obsessed with set theory and foundations of math over the last year so I have been reading a lot. I am teaching an honor student discussion course this spring where we are going to walk through the developments in the foundations of math during the 19th and 20th century. Then we will end the course discussing how this led into the development of computers and our current discussion of AI. So, I will use a subset of the videos for this class this semester. I would love to be a part of podcast on these topics! I recently was invited on a friend's podcast and we discussed A Mathematician's Apology by G. H. Hardy open.spotify.com/episode/4hIXiQKWsK8xK8EeIybRPs?si=63c7a4d8aa194a82 Was so much fun! I have been talking about starting a podcast or youtube channel for awhile now and this channel represents me finally just doing it instead of just talking about it. Also, I highly recommend this podcast for philosophy of math and science www.youtube.com/@robinsonerhardt He discussed all kinds of things on the podcast but there are several videos that are specifically on philosophy of math. Episodes with Justin Clarke Doane, Joel Davide Hamkins, Jody Azzouni, etc. Yes, I definitely cannot keep this pace up indefinitely. My plan was to keep this pace up for the rest of winter break and then go to a more reasonable pace during the semester. Maybe two per week during the semester or something like that.
@Osama_Abbas Yes, I can! I am glad you are interested. It is an interesting detail of history. I actually already made the video, but I won't release it on the channel for another week or so. There will first be a video on Russell's paradox, which Russell pointed out to Frege, and then there will be a second video on how Russell accidentally made the same mistake in his own book.
Seems to me that most people (if they even thought about it) are satisfied with a notion of numbers as a representation of counts, weights, and measures. In that sense, “three is contained in seventeen” would not seem unnatural to them.
I have only very vague exposure to philosophy of math, and your discussions are a great way for me to dip in a little. The ideas are very interesting, and your summaries are far less intimidating than actually going out an trying to read one of these books. Thanks!
Have you considered packaging these as a podcast? I know there's millions of podcasts these days, but these would be great for car trips or dishwashing.
(And you gotta space them out! Surely you can't maintain this pace indefinitely?)
I am glad you are enjoying the videos! I got obsessed with set theory and foundations of math over the last year so I have been reading a lot. I am teaching an honor student discussion course this spring where we are going to walk through the developments in the foundations of math during the 19th and 20th century. Then we will end the course discussing how this led into the development of computers and our current discussion of AI. So, I will use a subset of the videos for this class this semester.
I would love to be a part of podcast on these topics! I recently was invited on a friend's podcast and we discussed A Mathematician's Apology by G. H. Hardy open.spotify.com/episode/4hIXiQKWsK8xK8EeIybRPs?si=63c7a4d8aa194a82
Was so much fun! I have been talking about starting a podcast or youtube channel for awhile now and this channel represents me finally just doing it instead of just talking about it. Also, I highly recommend this podcast for philosophy of math and science www.youtube.com/@robinsonerhardt He discussed all kinds of things on the podcast but there are several videos that are specifically on philosophy of math. Episodes with Justin Clarke Doane, Joel Davide Hamkins, Jody Azzouni, etc.
Yes, I definitely cannot keep this pace up indefinitely. My plan was to keep this pace up for the rest of winter break and then go to a more reasonable pace during the semester. Maybe two per week during the semester or something like that.
12:08 Could you please elaborate on how Russell's definition has the same Russell's paradox? Thank you Professor!
@Osama_Abbas Yes, I can! I am glad you are interested. It is an interesting detail of history. I actually already made the video, but I won't release it on the channel for another week or so. There will first be a video on Russell's paradox, which Russell pointed out to Frege, and then there will be a second video on how Russell accidentally made the same mistake in his own book.
@@hungrymathprof Sounds great! I will be waiting for the videos.
Just wanted to let you know that I have now uploaded both videos on Russell's paradox. Let me know what you think!
@@hungrymathprof I really appreciate it professor, thanks! Will watch them tonight.
Seems to me that most people (if they even thought about it) are satisfied with a notion of numbers as a representation of counts, weights, and measures. In that sense, “three is contained in seventeen” would not seem unnatural to them.
@numericalcode Yeah, that is a good point. I'm not sure that 3 being an element of 17 and a subset of 17 is natural, though.