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.

Support Mindscape on Patreon.

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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342 | Rachell Powell on Evolutionary Convergence, Morality, and Mind

342 | Rachell Powell on Evolutionary Convergence, Morality, and Mind

Evolution with natural selection involves an intricate mix of the random and the driven. Mutations are essentially random, while selection pressures work to prefer certain outcomes over others. There ...

26 Tammi 1h 37min

341 | Stewart Brand on Maintenance as an Organizing Principle

341 | Stewart Brand on Maintenance as an Organizing Principle

"Things fall apart; the centre cannot hold," wrote W.B. Yeats. I don't know about the centre, but the tendency of things to fall apart is pretty universal, ultimately due to the Second Law of Thermody...

19 Tammi 1h 12min

340 | Rebecca Newberger Goldstein on What Matters and Why It Matters

340 | Rebecca Newberger Goldstein on What Matters and Why It Matters

At any given moment, an uncountable number of events are happening, but only some of them matter to us. What does it mean for something to matter, and more importantly, what does it mean for us to mat...

12 Tammi 1h 18min

339 | Ned Block on Whether Consciousness Requires Biology

339 | Ned Block on Whether Consciousness Requires Biology

It's become increasingly clear that the Turing Test -- determining whether human interlocutors can tell whether a conversation is being carried out by a human or a machine -- is not a good way to thin...

5 Tammi 1h 11min

Holiday Message 2025 | The Romance of the University

Holiday Message 2025 | The Romance of the University

Time for the holiday message! Rounding off the year with a brief and casual reflection on some issue that doesn't quite rise to the level of a full solo podcast. And hopefully something uplifting. Thi...

22 Joulu 202542min

AMA | December 2025

AMA | December 2025

Welcome to the December 2025 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...

15 Joulu 20253h 36min

338 | Ryan Patterson on the Physics of Neutrinos

338 | Ryan Patterson on the Physics of Neutrinos

The story goes that Wolfgang Pauli, who first proposed the existence of neutrinos, was embarrassed to have done so, as it was considered uncouth to hypothesize new particles that could not be detected...

8 Joulu 20251h 26min

337 | Kevin Zollman on Game Theory, Signals, and Meaning

337 | Kevin Zollman on Game Theory, Signals, and Meaning

Game theory is a way of quantitatively describing what happens any time one thing interacts with another thing, when both things have goals and potential rewards. That's a pretty broad class of intere...

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