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(423)

351 | Peter Singer on Maximizing Good for All Sentient Creatures

351 | Peter Singer on Maximizing Good for All Sentient Creatures

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20 Apr 1h 15min

350 | J. Eric Oliver on the Self and How to Know It

350 | J. Eric Oliver on the Self and How to Know It

We are more familiar with ourselves than with anything else in the universe, but we generally don't come very close to really understanding what our "self" is. That's not too surprising, as selves are...

13 Apr 1h 21min

AMA | April 2026

AMA | April 2026

Welcome to the April 2026 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 Patre...

5 Apr 3h 46min

349 | Daniel Harlow on What Quantum Gravity Teaches Us About Quantum Mechanics

349 | Daniel Harlow on What Quantum Gravity Teaches Us About Quantum Mechanics

There is something special about gravity. After decades of effort, there is still no convergence on the right way to reconcile Einstein's theory of general relativity with the framework of quantum mec...

30 Mar 1h 25min

348 | Jessica Riskin on Jean-Baptiste Lamarck and Life as Creative Agency

348 | Jessica Riskin on Jean-Baptiste Lamarck and Life as Creative Agency

"Lamarkism" is a term often attached to a seemingly discredited idea in evolutionary biology: that one organism could acquire characteristics (e.g., becoming stronger through exercise) that would then...

23 Mar 1h 15min

347 | Andrew Guthrie Ferguson on How Your Data Will Be Used Against You

347 | Andrew Guthrie Ferguson on How Your Data Will Be Used Against You

In the 18th century, philosopher Jeremy Bentham suggested the Panopticon as a model of a prison where inmates could be constantly observed by just a single prison guard. Although his original idea was...

16 Mar 1h 8min

346 | Erica Cartmill on How Human and Animal Minds Think and Play

346 | Erica Cartmill on How Human and Animal Minds Think and Play

Intelligence is a many splendored thing, especially when it comes to comparisons between species. Chimpanzees are better than humans at some numerical tasks, but less good at understanding what number...

9 Mar 1h 28min

AMA | March 2026

AMA | March 2026

Welcome to the March 2026 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 Patre...

2 Mar 3h 53min

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