Episodes

  • 042 - Appendix

    042 - Appendix
    Mar 17 2026
    Discover the profound impact of the German mathematician David Hilbert, a towering figure in the landscape of mathematics during the 19th and early 20th centuries. In his groundbreaking work, Grundlagen der Geometrie, published in 1899, Hilbert introduced 20 axioms that laid the groundwork for a modern approach to Euclidean geometry. His innovative axiom system is built around six primitive notions, including the essential concepts of point, line, and plane, along with relations such as Betweenness, Lies on, and Congruence. This monograph, which was inspired by Hilberts own lectures for a memorial address, quickly gained traction through a French translation that incorporated his revisions. An authorized English version by E.J. Townsend followed in 1902, making this audiobook a significant resource as it reflects the insights and updates from both the original and French editions.
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    23 mins
  • 041 - Conclusion

    041 - Conclusion
    Mar 16 2026
    Discover the profound impact of the German mathematician David Hilbert, a towering figure in the landscape of mathematics during the 19th and early 20th centuries. In his groundbreaking work, Grundlagen der Geometrie, published in 1899, Hilbert introduced 20 axioms that laid the groundwork for a modern approach to Euclidean geometry. His innovative axiom system is built around six primitive notions, including the essential concepts of point, line, and plane, along with relations such as Betweenness, Lies on, and Congruence. This monograph, which was inspired by Hilberts own lectures for a memorial address, quickly gained traction through a French translation that incorporated his revisions. An authorized English version by E.J. Townsend followed in 1902, making this audiobook a significant resource as it reflects the insights and updates from both the original and French editions.
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    14 mins
  • 040 - Criterion for the possibility of a geometrical construction by means of a straight-edge and a transf

    040 - Criterion for the possibility of a geometrical construction by means of a straight-edge and a transf
    Mar 15 2026
    Discover the profound impact of the German mathematician David Hilbert, a towering figure in the landscape of mathematics during the 19th and early 20th centuries. In his groundbreaking work, Grundlagen der Geometrie, published in 1899, Hilbert introduced 20 axioms that laid the groundwork for a modern approach to Euclidean geometry. His innovative axiom system is built around six primitive notions, including the essential concepts of point, line, and plane, along with relations such as Betweenness, Lies on, and Congruence. This monograph, which was inspired by Hilberts own lectures for a memorial address, quickly gained traction through a French translation that incorporated his revisions. An authorized English version by E.J. Townsend followed in 1902, making this audiobook a significant resource as it reflects the insights and updates from both the original and French editions.
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    12 mins
  • 039 - The representation of algebraic numbers and of integral rational functions as sums of squares

    039 - The representation of algebraic numbers and of integral rational functions as sums of squares
    Mar 14 2026
    Discover the profound impact of the German mathematician David Hilbert, a towering figure in the landscape of mathematics during the 19th and early 20th centuries. In his groundbreaking work, Grundlagen der Geometrie, published in 1899, Hilbert introduced 20 axioms that laid the groundwork for a modern approach to Euclidean geometry. His innovative axiom system is built around six primitive notions, including the essential concepts of point, line, and plane, along with relations such as Betweenness, Lies on, and Congruence. This monograph, which was inspired by Hilberts own lectures for a memorial address, quickly gained traction through a French translation that incorporated his revisions. An authorized English version by E.J. Townsend followed in 1902, making this audiobook a significant resource as it reflects the insights and updates from both the original and French editions.
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    13 mins
  • 038 - Geometrical constructions by means of a straight-edge and a transferer of segments

    038 - Geometrical constructions by means of a straight-edge and a transferer of segments
    Mar 13 2026
    Discover the profound impact of the German mathematician David Hilbert, a towering figure in the landscape of mathematics during the 19th and early 20th centuries. In his groundbreaking work, Grundlagen der Geometrie, published in 1899, Hilbert introduced 20 axioms that laid the groundwork for a modern approach to Euclidean geometry. His innovative axiom system is built around six primitive notions, including the essential concepts of point, line, and plane, along with relations such as Betweenness, Lies on, and Congruence. This monograph, which was inspired by Hilberts own lectures for a memorial address, quickly gained traction through a French translation that incorporated his revisions. An authorized English version by E.J. Townsend followed in 1902, making this audiobook a significant resource as it reflects the insights and updates from both the original and French editions.
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    7 mins
  • 037 - Analytic representation of the co-ordinates of points which can be so constructed

    037 - Analytic representation of the co-ordinates of points which can be so constructed
    Mar 12 2026
    Discover the profound impact of the German mathematician David Hilbert, a towering figure in the landscape of mathematics during the 19th and early 20th centuries. In his groundbreaking work, Grundlagen der Geometrie, published in 1899, Hilbert introduced 20 axioms that laid the groundwork for a modern approach to Euclidean geometry. His innovative axiom system is built around six primitive notions, including the essential concepts of point, line, and plane, along with relations such as Betweenness, Lies on, and Congruence. This monograph, which was inspired by Hilberts own lectures for a memorial address, quickly gained traction through a French translation that incorporated his revisions. An authorized English version by E.J. Townsend followed in 1902, making this audiobook a significant resource as it reflects the insights and updates from both the original and French editions.
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    8 mins
  • 036 - The demonstation by means of the theorems of Pascal and Desargues

    036 - The demonstation by means of the theorems of Pascal and Desargues
    Mar 11 2026
    Discover the profound impact of the German mathematician David Hilbert, a towering figure in the landscape of mathematics during the 19th and early 20th centuries. In his groundbreaking work, Grundlagen der Geometrie, published in 1899, Hilbert introduced 20 axioms that laid the groundwork for a modern approach to Euclidean geometry. His innovative axiom system is built around six primitive notions, including the essential concepts of point, line, and plane, along with relations such as Betweenness, Lies on, and Congruence. This monograph, which was inspired by Hilberts own lectures for a memorial address, quickly gained traction through a French translation that incorporated his revisions. An authorized English version by E.J. Townsend followed in 1902, making this audiobook a significant resource as it reflects the insights and updates from both the original and French editions.
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    5 mins
  • 035 - Proof of the two propositions concerning Pascal's theorem Non-pascalian geometry

    035 - Proof of the two propositions concerning Pascal's theorem Non-pascalian geometry
    Mar 10 2026
    Discover the profound impact of the German mathematician David Hilbert, a towering figure in the landscape of mathematics during the 19th and early 20th centuries. In his groundbreaking work, Grundlagen der Geometrie, published in 1899, Hilbert introduced 20 axioms that laid the groundwork for a modern approach to Euclidean geometry. His innovative axiom system is built around six primitive notions, including the essential concepts of point, line, and plane, along with relations such as Betweenness, Lies on, and Congruence. This monograph, which was inspired by Hilberts own lectures for a memorial address, quickly gained traction through a French translation that incorporated his revisions. An authorized English version by E.J. Townsend followed in 1902, making this audiobook a significant resource as it reflects the insights and updates from both the original and French editions.
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    4 mins