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Paul Halmos Quotes: Applied mathematics will always need pure mathematics just as anteaters will always need ants.
         

Applied mathematics will always need pure mathematics just as anteaters will always need ants.


Paul Halmos
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The only way to learn mathematics is to do mathematics.

The only way to learn mathematics is to do mathematics.



The author discusses valueless measures in pointless spaces.

The author discusses valueless measures in pointless spaces.



The best way to learn is to do; the worst way to teach is to talk.

The best way to learn is to do; the worst way to teach is to talk.



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.



A smooth lecture... may be pleasant; a good teacher challenges, asks, irritates and maintains high standards - all that is generally not pleasant.

A smooth lecture... may be pleasant; a good teacher challenges, asks, irritates and maintains high standards - all that is generally not pleasant.



A good stack of examples, as large as possible, is indispensable for a thorough understanding of any concept,and when I want to learn something new, I make it my first job to build one.

A good stack of examples, as large as possible, is indispensable for a thorough understanding of any concept,and when I want to learn something new, I make it my first job to build one.



The beginner should not be discouraged if he finds he does not have the prerequisites for reading the prerequisites.

The beginner should not be discouraged if he finds he does not have the prerequisites for reading the prerequisites.



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.

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 is not a deductive science - that's a cliché... What you do is trial and error, experimentation, guesswork.

Mathematics is not a deductive science - that's a cliché... What you do is trial and error, experimentation, guesswork.



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

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





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But for the first time, Boaz couldn't think of a single word to describe this kind of loneliness, so scary and real it required an entirely different language, new and strange and yet to be invented

But for the first time, Boaz couldn't think of a single word to describe this kind of loneliness, so scary and real it required an entirely different language, new and strange and yet to be invented



They changed their minds, Flew off, and into strange vagaries fell.

They changed their minds, Flew off, and into strange vagaries fell.



In our political system, money is power. And that means a few can have a lot more power than the rest. That's bad news for everyone else - and for our democracy itself.

In our political system, money is power. And that means a few can have a lot more power than the rest. That's bad news for everyone else - and for our democracy itself.



I would lie, because no one would know me anyway. My grandmother convinced me to be proud of what I do.

I would lie, because no one would know me anyway. My grandmother convinced me to be proud of what I do.



We cannot solve the problems of America if every time somebody somewhere says something stupid, that everybody gets up in arms and we forget about the war in Iraq or we forget about the economy.

We cannot solve the problems of America if every time somebody somewhere says something stupid, that everybody gets up in arms and we forget about the war in Iraq or we forget about the economy.



I grew up in Washington, D.C. But also loving the theater.

I grew up in Washington, D.C. But also loving the theater.



I was fortunate enough to work under directors who were, most of them, brilliant, emotional men.

I was fortunate enough to work under directors who were, most of them, brilliant, emotional men.



Are Republican women politicians more feminine than Democratic women politicians?

Are Republican women politicians more feminine than Democratic women politicians?



I need problems. A good problem makes me come alive.

I need problems. A good problem makes me come alive.



I write pretty much every day, but I don't have any desire to publish anything.

I write pretty much every day, but I don't have any desire to publish anything.




Quote Description


This page presents the quote "Applied mathematics will always need pure mathematics just as anteaters will always need ants.". Author of this quote is Paul Halmos. This quote is about mathematics, ants, pure, needs,.