Book · 1482 · Fundamentos Da Geometria
Elements
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An example would be, so that one of the very first formal systems was the system, was Euclidean geometry developed by Euclid in his famous book "Elements", about 2200 years ago.
What they say about it
- Wrote an ancient geometry textbook“wrote a textbook on geometry”2
The best things said about it
The tension between the Cantor-Hume principle and what could be called Euclid's principle, which is that the whole is always greater than the part, is a principle that Euclid appealed to in the Elements many times.
He wrote a textbook on geometry, you know, 2,000 years ago, that was still in use up to a couple hundred years ago.
Neil deGrasse Tyson StarTalk Radio · Oct 2023 Where and when it comes up
Most mentions, by podcast
5 people who brought it up
Why people recommend it
Elements by Euclid is an ancient mathematical treatise that systematically established the foundational principles and axioms of geometry over two millennia ago. On the Lex Fridman Podcast, Joel David Hamkins referenced Euclid's principle—the concept that the whole is always greater than the part—to explain the historical tension between geometric area calculations and the Cantor-Hume principle. Similarly, Edward Frenkel appeared on the podcast to discuss Euclid's text as one of the earliest formal systems, highlighting its historical importance in establishing rigorous axioms for mathematics and human reasoning. On StarTalk Radio, Neil deGrasse Tyson and Jason Rhodes discussed the ancient geometry textbook while explaining the historical legacy of the Greek mathematician and why the Euclid space mission was appropriately named in his honor. Across these conversations, speakers emphasized how a textbook written thousands of years ago managed to remain a cornerstone of mathematical education for centuries. The podcast discussions collectively honor Euclid's monumental achievement in creating a standardized framework for spatial reasoning that permanently shaped the trajectory of scientific and mathematical inquiry throughout human history.
Every mention
Edward Frenkel An example would be, so that one of the very first formal systems was the system, was Euclidean geometry de… 1
“An example would be, so that one of the very first formal systems was the system, was Euclidean geometry developed by Euclid in his famous book "Elements", about 2200 years ago.”
Jason Rhodes who is more associated with geometry than the the father of geometry uh uid who wrote a textbook on Geometr… 1
“who is more associated with geometry than the the father of geometry uh uid who wrote a textbook on Geometry um you know 2,000 years ago”
Joel David Hamkins The tension between the Cantor-Hume principle and what could be called Euclid's principle, which is that th… 1
“The tension between the Cantor-Hume principle and what could be called Euclid's principle, which is that the whole is always greater than the part, is a principle that Euclid appealed to in the Elements many times when he's calculating area and so on.”
Neil deGrasse Tyson He wrote a textbook on geometry, you know, 2,000 years ago, that was still in use up to a couple hundred ye… 1
“He wrote a textbook on geometry, you know, 2,000 years ago, that was still in use up to a couple hundred years ago. He was an amazing scientist who really founded the field of geometry.”
Vivek Ramaswamy And you're studying Exodus, but this might be more of a Genesis example. 1
“And you're studying Exodus, but this might be more of a Genesis example.”
Also mentioned in the same episodes
Other mentions (2: passing, ad reads, own books)
“It reminds me of basically every story from Genesis not to get biblical here but there's the story of when Moses goes up Mount Sinai to get the Ten Commandments. He tells everyone, 'Okay, I'm gonna go talk to God, I'll be right back', and they're like, 'Cool, great.'”
“um would you guys like to learn about an element that's my nighttime reading ... and then you just you're gonna hear that crucial podcast where I said that I'm gonna buy a book on this [ __ ]”