使用Player FM应用程序离线!
38 | Can We Understand Infinity? ~ Adrian Moore
Manage episode 408806640 series 3403620
Infinity is a puzzling idea. Even young children ponder its various manifestations: What is the biggest number? Does the universe have an edge? Does time have a beginning?
Philosophers have tried to answer these questions since time immemorial. More recently, they have been joined by scientists and mathematicians.
So what have we learned? Can we finally understand infinity? And what has this quest taught us about ourselves?
To explore this topic, I am joined by philosopher Adrian W. Moore.
Professor Moore is a special guest for two reasons. First, he is a world expert on infinity, known for an excellent BBC series, "History of the Infinite". More personally, he is the head tutor of Philosophy at St Hugh’s College, Oxford, where I studied my BA in Philosophy and Psychology. It has now been ten years since Prof Moore interviewed me and, for whatever reason, accepted me as a student. I feel honoured to mark the occasion with this episode.
In this episode, we discuss:
(02:35) Why infinity fascinates
(12:20) Greeks on infinity
(20:05) A finite cosmos?
(25:00) Zeno’s paradoxes
(32:35) Answering Zeno
(42:35) Measuring infinities? Georg Cantor
(54:05) Infinity vs human understanding
(66:20) Mystics on infinity
As always, we finish with Prof Moore’s reflections on humanity.
LINKS
Want to support the show? Checkout Patreon.com/OnHumans
Want to read and not just listen? Get the newsletter on OnHumans.Substack.com
MENTIONS
Names: Aristotle; Zeno; Archytus; Ludwig Wittgenstein; Kurt Gödel; Alan Turing; Georg Cantor; William Blake; Immanuel Kant
Terms: Pythagoreans; Zeno’s paradoxes; calculus; transfinite arithmetic; counting numbers, i.e. positive integers; absolute infinities, or inconsistent totalities
Books: The Infinite (Moore)
Other scholarship: For games on infinite boards, see e.g. the work of Davide Leonessi: https://leonessi.org/
66集单集
Manage episode 408806640 series 3403620
Infinity is a puzzling idea. Even young children ponder its various manifestations: What is the biggest number? Does the universe have an edge? Does time have a beginning?
Philosophers have tried to answer these questions since time immemorial. More recently, they have been joined by scientists and mathematicians.
So what have we learned? Can we finally understand infinity? And what has this quest taught us about ourselves?
To explore this topic, I am joined by philosopher Adrian W. Moore.
Professor Moore is a special guest for two reasons. First, he is a world expert on infinity, known for an excellent BBC series, "History of the Infinite". More personally, he is the head tutor of Philosophy at St Hugh’s College, Oxford, where I studied my BA in Philosophy and Psychology. It has now been ten years since Prof Moore interviewed me and, for whatever reason, accepted me as a student. I feel honoured to mark the occasion with this episode.
In this episode, we discuss:
(02:35) Why infinity fascinates
(12:20) Greeks on infinity
(20:05) A finite cosmos?
(25:00) Zeno’s paradoxes
(32:35) Answering Zeno
(42:35) Measuring infinities? Georg Cantor
(54:05) Infinity vs human understanding
(66:20) Mystics on infinity
As always, we finish with Prof Moore’s reflections on humanity.
LINKS
Want to support the show? Checkout Patreon.com/OnHumans
Want to read and not just listen? Get the newsletter on OnHumans.Substack.com
MENTIONS
Names: Aristotle; Zeno; Archytus; Ludwig Wittgenstein; Kurt Gödel; Alan Turing; Georg Cantor; William Blake; Immanuel Kant
Terms: Pythagoreans; Zeno’s paradoxes; calculus; transfinite arithmetic; counting numbers, i.e. positive integers; absolute infinities, or inconsistent totalities
Books: The Infinite (Moore)
Other scholarship: For games on infinite boards, see e.g. the work of Davide Leonessi: https://leonessi.org/
66集单集
所有剧集
×欢迎使用Player FM
Player FM正在网上搜索高质量的播客,以便您现在享受。它是最好的播客应用程序,适用于安卓、iPhone和网络。注册以跨设备同步订阅。