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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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 Maalis 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 Maalis 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 Maalis 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 Maalis 3h 53min

345 | Adam Elga on Being Rational in a Very Large Universe

345 | Adam Elga on Being Rational in a Very Large Universe

Behaving rationally involves facing up to conditions of uncertainty; we never navigate the world with perfect confidence. Sometimes we are uncertain about the way the world is, but we can also be unce...

23 Helmi 1h 34min

344 | Adam Gurri on Liberal Democracy and How to Fight For It

344 | Adam Gurri on Liberal Democracy and How to Fight For It

It's possible to look at the course of history over the past few centuries and discern a movement toward increasing democracy, freedom, and individual rights -- "liberalism," in the political-philosop...

16 Helmi 1h 21min

343 | Tom Griffiths on The Laws of Thought

343 | Tom Griffiths on The Laws of Thought

For all that human beings spend a lot of their time thinking, it's far from obvious what that process actually entails. Part of it amounts to classical logical reasoning. But an even bigger part invol...

9 Helmi 1h 19min

AMA | Feb 2026

AMA | Feb 2026

Welcome to the February 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 Pa...

2 Helmi 3h 10min

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