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Quotes by Mathematicians
Quotes by Mathematicians
It is impossible to be a mathematician without being a poet in soul.
Sofia Kovalevskaya
Soul
Impossible
Poet
Without
Mathematician
Being
One can imagine that the ultimate mathematician is one who can see analogies between analogies.
Stefan Banach
Analogy
See
Between
Ultimate
Mathematician
Who
Imagine
A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories.
Stefan Banach
Best
Better
Analogy
Find
See
Between
Mathematician
Person
Notice
Theorems
Theories
Who
Mathematics is as old as Man.
Stefan Banach
Mathematics
Man
Old
When I got to Princeton I made a point of attending the Philosophy Club and listening to the lectures, but I didn't get involved in any discussions in those clubs. I guess after the first year, I dropped that.
Stephen Cole Kleene
Listening
Made
First
Princeton
Year
Club
Guess
Philosophy
Those
Point
Attending
Dropped
Involved
Got
Lectures
Discussions
Get
Any
After
Clubs
Well, I think Barkley and I were the only two who were working with Church for a Ph.D.
Stephen Cole Kleene
Church
Think
Only
Well
Were
Working
Who
Two
Those three years ended with June 1933. At that time I left Princeton, having submitted my Ph.D. thesis.
Stephen Cole Kleene
Time
Three
Princeton
Those
Having
Years
Left
June
Submitted
Ended
Thesis
The job in Wisconsin was the first genuine offer of an academic job in a university which I received.
Stephen Cole Kleene
Job
First
Wisconsin
Academic
Genuine
Offer
Which
Received
University
It wasn't until my second year that I got to actually work with Church.
Stephen Cole Kleene
Work
Church
Year
Until
Got
Actually
Second
I went to Princeton in the fall of 1930 as a half-time instructor.
Stephen Cole Kleene
Princeton
Fall
Instructor
I went to Princeton from Amherst, where I split my interests between mathematics and philosophy.
Stephen Cole Kleene
Mathematics
Princeton
Philosophy
Split
Between
Where
Interests
Amherst
I think Veblen had an interest in logic.
Stephen Cole Kleene
Think
Logic
Had
Interest
I had some hesitations about philosophy because, if you worked out a philosophical theory, it was hard to know whether you were going to be able to prove it or whether other theories had just as good a claim on belief.
Stephen Cole Kleene
Good
You
Other
Philosophical
Philosophy
Claim
Out
Able
Some
About
Had
Know
Because
Prove
Were
Going
Just
Whether
Worked
Hard
Theories
Theory
Belief
I don't think Post often came to Princeton during the '30s. I can't remember ever seeing him in Princeton.
Stephen Cole Kleene
Post
Remember
Princeton
Think
Seeing
Him
Came
Often
Ever
Here at Wisconsin we didn't get an undergraduate course in mathematical logic until the '60s.
Stephen Cole Kleene
Logic
Wisconsin
Until
Undergraduate
Course
Mathematical
Get
Here
For example, the philosophers who were interested in logic were probably rather logical for mathematicians. But the ASL got us together, so we could talk to each other and publish in the same journal.
Stephen Cole Kleene
Together
Logical
Example
Publish
Other
Philosophers
Logic
Rather
Could
Journal
For Example
Talk
Got
Were
Mathematicians
Same
Interested
Us
Who
Each
I think that after Church got his Ph.D. he studied in Europe, maybe in the Netherlands, for a year or two.
Stephen Cole Kleene
Church
Year
Think
Netherlands
Studied
He
Got
His
Maybe
After
Europe
Two
When you love a problem, its contours, obstacles and resistances are all just part of its character.
Steven Strogatz
Love
Character
You
Problem
Part
Obstacles
Just
I enjoy a good meal, a good vacation, or a good movie, much as anyone else would.
Terence Tao
Good
Meal
Enjoy
Else
Good Meal
Good Movie
Would
Movie
Anyone
Anyone Else
Much
Vacation
Math education has changed over the years. In the 19th century, they taught spherical trigonometry because one of the biggest applications of mathematics was navigating the ocean. This is no longer so relevant.
Terence Tao
Education
Mathematics
Ocean
Changed
Relevant
Longer
Over
Because
Math
Years
Taught
Biggest
Century
Applications
I have been lucky to find very good collaborators who have taught me a lot, have introduced me to several new fields of mathematics, or have shown me new insights.
Terence Tao
Mathematics
Good
Me
Several
Collaborators
Introduced
Find
Insights
New
Been
Lot
Very
Taught
Fields
Who
Lucky
Shown
The standard high school curriculum traditionally has been focused towards physics and engineering. So calculus, differential equations, and linear algebra have always been the most emphasized, and for good reason - these are very important.
Terence Tao
Good
Physics
School
Important
Engineering
Algebra
Focused
Has-Been
High
High School
Good Reason
Emphasized
Towards
Most
Calculus
Equations
Always
Been
Linear
Very
Curriculum
Standard
Reason
Differential
Can you make fancy patterns of water that actually have some computation power? I'm betting that fluids are complex enough to do this.
Terence Tao
You
Water
Power
Enough
Complex
Some
Computation
Betting
Make
Fancy
Patterns
Actually
Math research is more like a marathon.
Terence Tao
Research
More
Like
Math
Marathon
A lot of the math that I do, it's not sort of premeditated. I talk online or with a colleague, and I get interested, and I just follow where it leads.
Terence Tao
Colleague
Follow
Online
Leads
Talk
Sort
Math
Lot
Get
Just
Where
Interested
Most of what I do does not save lives.
Terence Tao
Most
Does
Lives
Save
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