214 | Antonio Padilla on Large Numbers and the Scope of the Universe

214 | Antonio Padilla on Large Numbers and the Scope of the Universe

It's a big universe we live in, so it comes as no surprise that big numbers are needed to describe it. There are roughly 10^22 stars in the observable universe, and about 10^88 particles altogether. But these numbers are nothing compared to some of the truly ginormous quantities that mathematicians have found to talk about, with inscrutable names like Graham's Number and TREE(3). Could such immense numbers have any meaningful relationship with the physical world? In his recent book Fantastic Numbers and Where to Find Them, theoretical physicist Antonio Padilla explores both our actual universe and the abstract world of immense numbers, and finds surprising connections between them.

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Antonio (Tony) Padilla received his Ph.D. in physics from the University of Durham. He is currently a Royal Society Research Fellow in the School of Physics and Astronomy at the University of Nottingham. He is a frequent contributor to the YouTube series Sixty Symbols and Numberphile.


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29 | Raychelle Burks on the Chemistry of Murder

29 | Raychelle Burks on the Chemistry of Murder

Sometimes science is asking esoteric questions about the fundamental nature of reality. Other times, it just wants to solve a murder. Today's guest, Raychelle Burks, is an analytical chemist at St. Ed...

14 Jan 20191h 15min

28 | Roger Penrose on Spacetime, Consciousness, and the Universe

28 | Roger Penrose on Spacetime, Consciousness, and the Universe

Sir Roger Penrose has had a remarkable life. He has contributed an enormous amount to our understanding of general relativity, perhaps more than anyone since Einstein himself -- Penrose diagrams, sing...

7 Jan 20191h 35min

Holiday Message 2018

Holiday Message 2018

There won't be any regular episodes of Mindscape this week or next, as we take a holiday break. Regular service will resume on Monday January 7, 2019. In the meantime, here is a special Holiday Messag...

24 Dec 201844min

27 | Janna Levin on Black Holes, Chaos, and the Narrative of Science

27 | Janna Levin on Black Holes, Chaos, and the Narrative of Science

It's a big universe out there, full of an astonishing variety of questions and puzzles. Today's guest, Janna Levin, is a physicist who has delved into some of the trippiest aspects of cosmology and gr...

17 Dec 20181h 8min

26 | Ge Wang on Artful Design, Computers, and Music

26 | Ge Wang on Artful Design, Computers, and Music

Everywhere around us are things that serve functions. We live in houses, sit on chairs, drive in cars. But these things don't only serve functions, they also come in particular forms, which may be emo...

10 Dec 20181h 10min

25 | David Chalmers on Consciousness, the Hard Problem, and Living in a Simulation

25 | David Chalmers on Consciousness, the Hard Problem, and Living in a Simulation

The "Easy Problems" of consciousness have to do with how the brain takes in information, thinks about it, and turns it into action. The "Hard Problem," on the other hand, is the task of explaining our...

3 Dec 20181h 22min

24 | Kip Thorne on Gravitational Waves, Time Travel, and Interstellar

24 | Kip Thorne on Gravitational Waves, Time Travel, and Interstellar

I remember vividly hosting a colloquium speaker, about fifteen years ago, who talked about the LIGO gravitational-wave observatory, which had just started taking data. Comparing where they were to whe...

26 Nov 20181h 19min

23 | Lisa Aziz-Zadeh on Embodied Cognition, Mirror Neurons, and Empathy

23 | Lisa Aziz-Zadeh on Embodied Cognition, Mirror Neurons, and Empathy

Brains are important things; they're where thinking happens. Or are they? The theory of "embodied cognition" posits that it's better to think of thinking as something that takes place in the body as a...

19 Nov 20181h 7min

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