You are talking about modern platonism, not Platonism with capital letter referring to the original paradigm of Plato's Academy. For that, read Proclus commentary to Euclid's first book. Original Platonism is ontologically and methodologically process oriented, not object oriented. The constructive method of Euclid is process of mereological decompositon from holistic Nous, not arbitrary existential declaration of "objects". Brouwer's project of Intuitionism means in this sense return to the original Platonism.
Thanks for sharing your thoughts! You are totally right, original Platonism from Plato’s Academy was more about processes and holistic ideas like the Nous and Euclid’s constructive methods. In the video we focused more on modern Mathematical Platonism, which is more object oriented. We really appreciate the suggestion to check out Proclus and his commentary on Euclid.
@@namowise My initial motivation for interest in foundations of mathematics came from David Bohm's philosophy. I was very pleased when I found out that Proclus' ontological and methodological view of mathematics is a very close analogy of David Bohm's philosophy of Holomovement, implicicate order unfolding to explicate orders and actual information. The suggestion that Bohm's holistic philosophy has intuitively originated from the same source seems natural.
You are talking about modern platonism, not Platonism with capital letter referring to the original paradigm of Plato's Academy. For that, read Proclus commentary to Euclid's first book.
Original Platonism is ontologically and methodologically process oriented, not object oriented. The constructive method of Euclid is process of mereological decompositon from holistic Nous, not arbitrary existential declaration of "objects". Brouwer's project of Intuitionism means in this sense return to the original Platonism.
Thanks for sharing your thoughts! You are totally right, original Platonism from Plato’s Academy was more about processes and holistic ideas like the Nous and Euclid’s constructive methods. In the video we focused more on modern Mathematical Platonism, which is more object oriented. We really appreciate the suggestion to check out Proclus and his commentary on Euclid.
@@namowise My initial motivation for interest in foundations of mathematics came from David Bohm's philosophy. I was very pleased when I found out that Proclus' ontological and methodological view of mathematics is a very close analogy of David Bohm's philosophy of Holomovement, implicicate order unfolding to explicate orders and actual information.
The suggestion that Bohm's holistic philosophy has intuitively originated from the same source seems natural.