# David Hilbert
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david hilbert (; German: [ˈdaːvɪt ˈhɪlbɐt]; 23 January 1862 – 14 February 1943) was a German mathematician and philosopher of mathematics and one of the most influential mathematicians of all time.
Hilbert discovered and developed a broad range of fundamental ideas including invariant theory, the calculus of variations, commutative algebra, algebraic number theory, the foundations of geometry, spectral theory of operators and its application to integral equations, mathematical physics, and the foundations of mathematics (particularly proof theory). He adopted and defended Georg Cantor's set theory and transfinite numbers.
Jason Bardi - The Great Math War: How Three Brilliant Minds Fought for the Foundations of Mathematics
What happens when brilliant minds disagree not just on answers, but on the very rules of how answers can be found? These questions are addressed in the latest episode of A Book with Legs, where Smead Capital Management CEO and Portfolio Manager Cole Smead is joined by journalist and author Jason So…
Foundations of Geometry - David Hilbert
David Hilbert's "Foundations of Geometry" presents a groundbreaking framework for modern Euclidean geometry through a system of twenty axioms, first proposed in 1899. By introducing six primitive notions, including point, line, and plane, along with essential relations such as Betweenness and Congr…
Episode #565: What Is, What Should Be, and the Space Between: A Conversation on Story and Consciousness
Stewart Alsop sits down with Daniel Freed, forty thousand words deep into a book that ties together consciousness, totalitarianism, archetypes, and religion, and the two spend the conversation tracing how those threads connect. They work through Jungian archetypes as behavioral blueprints embedded …
Gödel's Incompleteness Theorems
In the early 1900s, David Hilbert championed a "fortress of certainty," believing every mathematical truth could be derived from a perfect, finite set of axioms.
This era of supreme optimism aimed to eliminate paradoxes—like Russell's Paradox—by reducing all mathematics to airtight, formal logic.
T…
Giuseppe Veronese: The Fascination of Infinity
Paolo Busotti (San Marino in Storia della Scienza) gives a talk at the MCMP Colloquium (7 May, 2015) titled "Giuseppe Veronese: The Fascination of Infinity". Abstract: Giuseppe Veronese (1854-1917) is one of the most interesting mathematicians lived between the end of the 19th century and the begin…
125-Year-Old Problem Unites Three Laws of Physics
Physics has long grappled with a "split personality": the macroscopic world of smooth, continuous fluids and the microscopic reality of trillions of discrete, colliding particles.
While the motion of a river can be described by elegant fluid equations, zooming in reveals a chaotic dance of molecul…
Foundations of Geometry - David Hilbert
David Hilbert's "Foundations of Geometry" presents a groundbreaking framework for Euclidean geometry through a system of twenty axioms, emphasizing three primitive terms: point, line, and plane. This influential work, first published in 1899, laid the groundwork for modern geometric thought by syst…
ATN Podcast 414: Setting the stage for the 2026 season
We’re wrapping up the offseason, one in which we’ve now dropped 11 podcasts for you, including 24 coach and/or student athlete interviews, a commissioner and a collector of college football helmets. And we are here to get you into preseason camp, into your full pads and helmets and much more with P…
Gödel Out-thinks The Machine
Discover the extraordinary life of Kurt Gödel, often called the greatest logician since Aristotle, and the man who proved the limits of mathematics. In 1930, a shy 24-year-old from Vienna shattered David Hilbert's dream of a perfect, complete mathematics with his Incompleteness Theorems, proving th…
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