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(419)

41 | Steven Strogatz on Synchronization, Networks, and the Emergence of Complex Behavior

41 | Steven Strogatz on Synchronization, Networks, and the Emergence of Complex Behavior

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40 | Adrienne Mayor on Gods and Robots in Ancient Mythology

40 | Adrienne Mayor on Gods and Robots in Ancient Mythology

The modern world is full of technology, and also with anxiety about technology. We worry about robot uprisings and artificial intelligence taking over, and we contemplate what it would mean for a comp...

1 Apr 20191h 3min

39 | Malcolm MacIver on Sensing, Consciousness, and Imagination

39 | Malcolm MacIver on Sensing, Consciousness, and Imagination

Consciousness has many aspects, from experience to wakefulness to self-awareness. One aspect is imagination: our minds can conjure up multiple hypothetical futures to help us decide which choices we s...

25 Mar 20191h 19min

38 | Alan Lightman on Transcendence, Science, and a Naturalist's Sense of Meaning

38 | Alan Lightman on Transcendence, Science, and a Naturalist's Sense of Meaning

Let's say, for sake of argument, that you don't believe in God or the supernatural. Is there still a place for talking about transcendence, the sacred, and meaning in life? Some of the above, but not ...

18 Mar 20191h 16min

37 | Edward Watts on the End of the Roman Republic and Lessons for Democracy

37 | Edward Watts on the End of the Roman Republic and Lessons for Democracy

When many of us think "Ancient Rome," we think of the Empire and the Caesars. But the Empire was preceded by the Roman Republic, which flourished for a full five centuries. Why, after such a long and ...

11 Mar 20191h 31min

36 | David Albert on Quantum Measurement and the Problems with Many-Worlds

36 | David Albert on Quantum Measurement and the Problems with Many-Worlds

Quantum mechanics is our best theory of how reality works at a fundamental level, yet physicists still can't agree on what the theory actually says. At the heart of the puzzle is the "measurement prob...

4 Mar 20191h 42min

35 | Jessica Yellin on The Changing Ways We Get Our News

35 | Jessica Yellin on The Changing Ways We Get Our News

Everything we think about the world outside our immediate senses is shaped by information brought to us by other sources. In the case of what's currently happening to the human race, we call that info...

25 Feb 20191h 8min

34 | Paul Bloom on Empathy, Rationality, Morality, and Cruelty

34 | Paul Bloom on Empathy, Rationality, Morality, and Cruelty

Within every person's mind there is on ongoing battle between reason and emotion. It's not always a battle, of course; very often the two can work together. But at other times, our emotions push us to...

18 Feb 20191h 10min

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