Foundations of Geometry

040 - Criterion for the possibility of a geometrical construction by means of a straight-edge and a transf

12 min · 15 de mar de 2026
Portada del episodio 040 - Criterion for the possibility of a geometrical construction by means of a straight-edge and a transf

Descripción

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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42 episodios

Portada del episodio 042 - Appendix

042 - Appendix

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.

17 de mar de 202622 min
Portada del episodio 041 - Conclusion

041 - Conclusion

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.

16 de mar de 202614 min
Portada del episodio 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

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.

15 de mar de 202612 min
Portada del episodio 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

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.

14 de mar de 202612 min
Portada del episodio 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

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.

13 de mar de 20266 min