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.


Episoder(418)

299 | Michael Wong on Information, Function, and the Origin of Life

299 | Michael Wong on Information, Function, and the Origin of Life

Living organisms seem exquisitely organized and complex, with features clearly adapted to serving certain functions needed to survive and procreate. Natural selection provides a compelling explanation...

16 Des 20241h 13min

298 | Jeff Lichtman on the Wiring Diagram of the Brain

298 | Jeff Lichtman on the Wiring Diagram of the Brain

The number of neurons in the human brain is comparable to the number of stars in the Milky Way galaxy. Unlike the stars, however, in the case of neurons the real action is in how they are directly con...

9 Des 20241h 9min

AMA | December 2024

AMA | December 2024

Welcome to the December 2024 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). We take questions asked by Pa...

2 Des 20243h 55min

297 | Emily Wilson on Homer, Poetry, and Translation

297 | Emily Wilson on Homer, Poetry, and Translation

Not too long ago, Brad Pitt and Eric Bana starred in a (loose) adaptation of Homer's epic poem The Iliad; next month, Ralph Fiennes and Juliette Binoche will headline a film based on The Odyssey. Give...

25 Nov 20241h 15min

296 | Brandon Ogbunu on Fitness Seascapes and the Course of Evolution

296 | Brandon Ogbunu on Fitness Seascapes and the Course of Evolution

Biological evolution via natural selection is a simple idea that becomes enormously complicated in its realization. Populations of organisms are driven toward increased "fitness," a measure of how suc...

18 Nov 20241h 15min

295 | Solo: Emergence and Layers of Reality

295 | Solo: Emergence and Layers of Reality

Emergence is a centrally important concept in science and philosophy. Indeed, the existence of higher-level emergent properties helps render the world intelligible to us -- we can sensibly understand ...

11 Nov 20241h 35min

AMA | November 2024

AMA | November 2024

Welcome to the November 2024 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). We take questions asked by Pa...

4 Nov 20243h 50min

294 | Addy Pross on Dynamics, Stability, and Life

294 | Addy Pross on Dynamics, Stability, and Life

Erwin Schrödinger said that the important characteristic of life is that it "goes on doing something... for a much longer period than we would expect an inanimate piece of matter to keep going under s...

28 Okt 20241h 11min

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