Paul Halmos Quotes about Knowledge

All Paul Halmos Quotes Education Knowledge quotes Math Mathematics Science Students

The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method.

The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method.

Paul Halmos

Education, Knowledge, Math

P.R. Halmos, Paul Richard Halmos (1982). “A Hilbert Space Problem Book”, p.7, Springer Science & Business Media

It is the duty of all teachers, and of teachers of mathematics in particular, to expose their students to problems much more than to facts.

Paul Halmos

Teacher, Teaching, Knowledge

Paul Richard Halmos (1983). “Selecta: expository writing”, Springer Verlag

[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing - one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all one thing. ... They are intimately interconnected, they are all facets of the same thing. That interconnection, that architecture, is secure truth and is beauty. That's what mathematics is to me.

Paul Halmos

Knowledge, Science, Analysis

"Celebrating 50 Years of Mathematics".