<description>&lt;p&gt;We begin the episode with the absolutely ingenious and surprising way in which Kepler discovered the laws of planetary motion.&lt;/p&gt;&lt;p&gt;People sometimes say that AI will make especially fast progress at scientific discovery because of tight verification loops.&lt;/p&gt;&lt;p&gt;But the story of how we discovered the shape of our solar system shows how the verification loop for correct ideas can be decades (or even millennia) long.&lt;/p&gt;&lt;p&gt;During this time, what we know today as the better theory can actually make &lt;em&gt;worse &lt;/em&gt;predictions.&lt;/p&gt;&lt;p&gt;And the reasons it survives this epistemic hell is some mixture of judgment and heuristics that we don’t even understand well enough to actually articulate, much less codify into an RL loop. Hope you enjoy!&lt;/p&gt;&lt;p&gt;Watch on &lt;a target="_blank" href="https://youtu.be/ztcKyI8_w6k"&gt;YouTube&lt;/a&gt;; read the &lt;a target="_blank" href="https://www.dwarkesh.com/p/terence-tao"&gt;transcript&lt;/a&gt;.&lt;/p&gt;&lt;p&gt;Sponsors&lt;/p&gt;&lt;p&gt;- &lt;a target="_blank" href="https://janestreet.com/dwarkesh"&gt;Jane Street&lt;/a&gt; loves challenging my audience with different creative puzzles. One of my listeners, Shawn, solved Jane Street’s ResNet challenge and &lt;a target="_blank" href="https://x.com/hynwprk/status/2026376546286711206"&gt;posted a great walk-through on X&lt;/a&gt;. If you want to try one of these puzzles yourself, there’s one live now at &lt;a target="_blank" href="https://janestreet.com/dwarkesh"&gt;janestreet.com/dwarkesh&lt;/a&gt;.&lt;/p&gt;&lt;p&gt;- &lt;a target="_blank" href="https://labelbox.com/dwarkesh"&gt;Labelbox&lt;/a&gt; can get you rubric-based evals, no matter your domain. These rubrics allow you to give your model feedback on all the dimensions you care about, so you can train &lt;em&gt;how&lt;/em&gt; it thinks, not just &lt;em&gt;what&lt;/em&gt; it thinks. Whatever you’re focused on—math, physics, finance, psychology or something else—Labelbox can help. Learn more at &lt;a target="_blank" href="https://labelbox.com/dwarkesh"&gt;labelbox.com/dwarkesh&lt;/a&gt;.&lt;/p&gt;&lt;p&gt;- &lt;a target="_blank" href="https://mercury.com/insights"&gt;Mercury&lt;/a&gt; just released a new feature called Insights. Insights summarizes your money in and out, showing you your biggest transactions and calling out anything worth paying attention to. It’s a super low-friction way to stay on top of your business. Learn more at &lt;a target="_blank" href="https://mercury.com/insights"&gt;mercury.com/insights&lt;/a&gt;.&lt;/p&gt;&lt;p&gt;Timestamps&lt;/p&gt;&lt;p&gt;(00:00:00) – Kepler was a high temperature LLM&lt;/p&gt;&lt;p&gt;(00:11:44) – How would we know if there’s a new unifying concept within heaps of AI slop?&lt;/p&gt;&lt;p&gt;(00:26:10) – The deductive overhang&lt;/p&gt;&lt;p&gt;(00:30:31) – Selection bias in reported AI discoveries&lt;/p&gt;&lt;p&gt;(00:46:43) – AI makes papers richer and broader, but not deeper&lt;/p&gt;&lt;p&gt;(00:53:00) – If AI solves a problem, can humans get understanding out of it?&lt;/p&gt;&lt;p&gt;(00:59:20) – We need a semi-formal language for the way that scientists actually talk to each other&lt;/p&gt;&lt;p&gt;(01:09:48) – How Terry uses his time&lt;/p&gt;&lt;p&gt;(01:17:05) – Human-AI hybrids will dominate math for a lot longer&lt;/p&gt; &lt;br/&gt;&lt;br/&gt;Get full access to Dwarkesh Podcast at &lt;a href="https://www.dwarkesh.com/subscribe?utm_medium=podcast&amp;#38;utm_campaign=CTA_4"&gt;www.dwarkesh.com/subscribe&lt;/a&gt;</description>

Dwarkesh Podcast

Dwarkesh Patel

Terence Tao – Kepler, Newton, and the true nature of mathematical discovery

MAR 20, 202683 MIN
Dwarkesh Podcast

Terence Tao – Kepler, Newton, and the true nature of mathematical discovery

MAR 20, 202683 MIN

Description

<p>We begin the episode with the absolutely ingenious and surprising way in which Kepler discovered the laws of planetary motion.</p><p>People sometimes say that AI will make especially fast progress at scientific discovery because of tight verification loops.</p><p>But the story of how we discovered the shape of our solar system shows how the verification loop for correct ideas can be decades (or even millennia) long.</p><p>During this time, what we know today as the better theory can actually make <em>worse </em>predictions.</p><p>And the reasons it survives this epistemic hell is some mixture of judgment and heuristics that we don’t even understand well enough to actually articulate, much less codify into an RL loop. Hope you enjoy!</p><p>Watch on <a target="_blank" href="https://youtu.be/ztcKyI8_w6k">YouTube</a>; read the <a target="_blank" href="https://www.dwarkesh.com/p/terence-tao">transcript</a>.</p><p>Sponsors</p><p>- <a target="_blank" href="https://janestreet.com/dwarkesh">Jane Street</a> loves challenging my audience with different creative puzzles. One of my listeners, Shawn, solved Jane Street’s ResNet challenge and <a target="_blank" href="https://x.com/hynwprk/status/2026376546286711206">posted a great walk-through on X</a>. If you want to try one of these puzzles yourself, there’s one live now at <a target="_blank" href="https://janestreet.com/dwarkesh">janestreet.com/dwarkesh</a>.</p><p>- <a target="_blank" href="https://labelbox.com/dwarkesh">Labelbox</a> can get you rubric-based evals, no matter your domain. These rubrics allow you to give your model feedback on all the dimensions you care about, so you can train <em>how</em> it thinks, not just <em>what</em> it thinks. Whatever you’re focused on—math, physics, finance, psychology or something else—Labelbox can help. Learn more at <a target="_blank" href="https://labelbox.com/dwarkesh">labelbox.com/dwarkesh</a>.</p><p>- <a target="_blank" href="https://mercury.com/insights">Mercury</a> just released a new feature called Insights. Insights summarizes your money in and out, showing you your biggest transactions and calling out anything worth paying attention to. It’s a super low-friction way to stay on top of your business. Learn more at <a target="_blank" href="https://mercury.com/insights">mercury.com/insights</a>.</p><p>Timestamps</p><p>(00:00:00) – Kepler was a high temperature LLM</p><p>(00:11:44) – How would we know if there’s a new unifying concept within heaps of AI slop?</p><p>(00:26:10) – The deductive overhang</p><p>(00:30:31) – Selection bias in reported AI discoveries</p><p>(00:46:43) – AI makes papers richer and broader, but not deeper</p><p>(00:53:00) – If AI solves a problem, can humans get understanding out of it?</p><p>(00:59:20) – We need a semi-formal language for the way that scientists actually talk to each other</p><p>(01:09:48) – How Terry uses his time</p><p>(01:17:05) – Human-AI hybrids will dominate math for a lot longer</p> <br/><br/>Get full access to Dwarkesh Podcast at <a href="https://www.dwarkesh.com/subscribe?utm_medium=podcast&#38;utm_campaign=CTA_4">www.dwarkesh.com/subscribe</a>