Knowledge Quotes by Paul Halmos

Paul Halmos

[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.

Analysis

Knowledge

Science

Paul Halmos

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.

Knowledge

Teacher

Teaching

Paul Halmos

Mathematics – this may surprise or shock some – is never deductive in creation.

Education

Knowledge

Math

Paul Halmos

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

Education

Knowledge

Math

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Knowledge Quotes by Paul Halmos

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.

Mathematics – this may surprise or shock some – is never deductive in creation.

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

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