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)

281 | Samir Okasha on the Philosophy of Agency and Evolution

281 | Samir Okasha on the Philosophy of Agency and Evolution

Just like with physics, in biology it is perfectly possible to do most respectable work without thinking much about philosophy, but there are unmistakably foundational questions where philosophy becom...

1 Jul 20241h 11min

280 | François Chollet on Deep Learning and the Meaning of Intelligence

280 | François Chollet on Deep Learning and the Meaning of Intelligence

Which is more intelligent, ChatGPT or a 3-year old? Of course this depends on what we mean by "intelligence." A modern LLM is certainly able to answer all sorts of questions that require knowledge far...

24 Jun 20241h 41min

279 | Ellen Langer on Mindfulness and the Body

279 | Ellen Langer on Mindfulness and the Body

For those of us who are not dualists, the mind arises from our physical bodies -- mostly the brain, but the rest of the body has a role to play. And yet it remains tempting to treat the mind as a thin...

17 Jun 20241h 11min

278 | Kieran Healy on the Technology of Ranking People

278 | Kieran Healy on the Technology of Ranking People

We claim to love all of our children, friends, and students equally. But perhaps deep down you assign a ranking to them, from favorite to not-so-favorite. Ranking and quantifying people is an irresist...

10 Jun 20241h 15min

AMA | June 2024

AMA | June 2024

Welcome to the June 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 Patreo...

3 Jun 20243h 58min

277 | Cumrun Vafa on the Universe According to String Theory

277 | Cumrun Vafa on the Universe According to String Theory

String theory, the current leading candidate for a theory of quantum gravity as well as other particles and forces, doesn't connect directly to the world we see. It's possible that there is a large la...

27 Mai 20241h 22min

276 | Gavin Schmidt on Measuring, Predicting, and Protecting Our Climate

276 | Gavin Schmidt on Measuring, Predicting, and Protecting Our Climate

The Earth's climate keeps changing, largely due to the effects of human activity, and we haven't been doing enough to slow things down. Indeed, over the past year, global temperatures have been higher...

20 Mai 20241h 19min

275 | Solo: Quantum Fields, Particles, Forces, and Symmetries

275 | Solo: Quantum Fields, Particles, Forces, and Symmetries

Publication week! Say hello to Quanta and Fields, the second volume of the planned three-volume series The Biggest Ideas in the Universe. This volume covers quantum physics generally, but focuses espe...

13 Mai 20242h 12min

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