Moritz Pasch
Mathematician, Deceased Person
1843 – 1930
Who was Moritz Pasch?
Moritz Pasch was a German mathematician specializing in the foundations of geometry. He completed his Ph.D. at the University of Breslau at only 22 years of age. He taught at the University of Giessen, where he is known to have supervised 30 doctorates.
In 1882, Pasch published a book, Vorlesungen über neuere Geometrie, calling for the grounding of Euclidean geometry in more precise primitive notions and axioms, and for greater care in the deductive methods employed to develop the subject. He drew attention to a number of heretofore unnoted tacit assumptions in Euclid's Elements. He then argued that mathematical reasoning should not invoke the physical interpretation of the primitive terms, but should instead rely solely on formal manipulations justified by axioms. This book is the point of departure for:
Similarly concerned Italians: Peano, Mario Pieri, Alessandro Padoa
Hilbert's work on geometry and mathematical axiomatics in general;
All modern thinking about the foundations of Euclidean geometry.
Pasch is perhaps best remembered for Pasch's axiom:
We need you!
Help us build the largest biographies collection on the web!
- Born
- Nov 8, 1843
Wrocław - Nationality
- Germany
- Profession
- Died
- Sep 20, 1930
Bad Homburg vor der Höhe
Submitted
on July 23, 2013
Citation
Use the citation below to add to a bibliography:
Style:MLAChicagoAPA
"Moritz Pasch." Biographies.net. STANDS4 LLC, 2024. Web. 6 May 2024. <https://www.biographies.net/people/en/moritz_pasch>.
Discuss this Moritz Pasch biography with the community:
Report Comment
We're doing our best to make sure our content is useful, accurate and safe.
If by any chance you spot an inappropriate comment while navigating through our website please use this form to let us know, and we'll take care of it shortly.
Attachment
You need to be logged in to favorite.
Log In