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Quotes by Mathematicians
Quotes by Mathematicians
I do engineering, not religion.
Daniel J. Bernstein
Religion
Engineering
I have discovered that there are two types of command interfaces in the world of computing: good interfaces and user interfaces.
Daniel J. Bernstein
Good
World
Types
Computing
Command
Discovered
User
Two
I thank God for not making me a computer scientist.
Daniel J. Bernstein
God
Me
Thank God
Computer
Making
Scientist
Thank
The average user doesn't give a damn what happens, as long as (1) it works and (2) it's fast.
Daniel J. Bernstein
Long
Damn
Give
Happens
Average
User
Works
Fast
From a security perspective, if you're connected, you're screwed.
Daniel J. Bernstein
You
Perspective
Security
Screwed
Connected
No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite.
David Hilbert
Man
Other
Clarification
Spirit
Idea
Concept
Greater
Stimulated
His
Intellect
Question
Than
Infinite
Moved
Stands
Ever
Profoundly
Need
No one shall expel us from the paradise that Cantor has created for us.
David Hilbert
Paradise
Shall
No-One
Expel
Us
Created
The infinite! No other question has ever moved so profoundly the spirit of man.
David Hilbert
Man
Other
Spirit
Question
Infinite
Moved
Ever
Profoundly
Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.
David Hilbert
Science
Vitality
Indivisible
Parts
Opinion
Mathematical
Conditioned
In My Opinion
Organism
Connection
Whole
Whose
The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.
David Hilbert
Science
Construction
Harmoniously
Relations
Further
More
Developed
Between
Does
Mathematical
Branches
Hitherto
Proceed
Separated
Theory
He who seeks for methods without having a definite problem in mind seeks in the most part in vain.
David Hilbert
Problem
Mind
Vain
Definite
Seeks
Having
He
Part
Most
Without
Methods
Who
Science makes no pretension to eternal truth or absolute truth.
E. T. Bell
Truth
Science
Pretension
Absolute
Absolute Truth
Makes
Eternal
Out of fifty mathematical papers presented in brief at such a meeting, it is a rare mathematician indeed who really understands what more than half a dozen are about.
E. T. Bell
Rare
Half
Meeting
Indeed
Papers
Out
About
More
Understands
Mathematical
Mathematician
Than
Really
Fifty
Who
Brief
Dozen
Presented
The longer mathematics lives the more abstract - and therefore, possibly also the more practical - it becomes.
E. T. Bell
Mathematics
Possibly
More
Abstract
Longer
Also
Practical
Becomes
Therefore
Lives
The pursuit of pretty formulas and neat theorems can no doubt quickly degenerate into a silly vice, but so can the quest for austere generalities which are so very general indeed that they are incapable of application to any particular.
E. T. Bell
Doubt
Indeed
Degenerate
No Doubt
Pretty
Silly
General
Generalities
Pursuit
Particular
Quest
Austere
Very
Quickly
Any
Vice
Which
Formulas
Incapable
Theorems
Neat
Application
I don't care about movies. I tend to play badminton once a week.
Edward Witten
Care
Once
Once A Week
About
Tend
Week
Badminton
dont Care
Movies
Play
It's an exaggeration to say that I came up with M-theory.
Edward Witten
Exaggeration
Say
Came
Up
Quantum mechanics brought an unexpected fuzziness into physics because of quantum uncertainty, the Heisenberg uncertainty principle. String theory does so again because a point particle is replaced by a string, which is more spread out.
Edward Witten
Physics
String
String Theory
Out
Brought
More
Uncertainty
Point
Particle
Principle
Because
Quantum
Quantum Mechanics
Does
Spread
Replaced
Unexpected
Which
Again
Theory
Mechanics
As of now, string theorists have no explanation of why there are three large dimensions as well as time, and the other dimensions are microscopic. Proposals about that have been all over the map.
Edward Witten
Time
Three
Other
String
Dimensions
About
Proposals
Over
Well
Been
Microscopic
Explanation
Large
Map
Now
Why
We know a lot of things, but what we don't know is a lot more.
Edward Witten
More
Know
Lot
Things
As far as extra dimensions are concerned, very tiny extra dimensions wouldn't be perceived in everyday life, just as atoms aren't: we see many atoms together but we don't see atoms individually.
Edward Witten
Life
Together
Everyday Life
Atoms
Extra
Everyday
Dimensions
See
Perceived
Individually
Concerned
Very
Tiny
Just
As Far As
Far
Many
As for the forces, electromagnetism and gravity we experience in everyday life. But the weak and strong forces are beyond our ordinary experience. So in physics, lots of the basic building blocks take 20th- or perhaps 21st-century equipment to explore.
Edward Witten
Life
Experience
Physics
Strong
Everyday Life
Building
Everyday
Our
Weak
Take
Perhaps
Beyond
Forces
Building Blocks
Equipment
Blocks
Lots
Ordinary
Explore
Basic
Gravity
Having those extra dimensions and therefore many ways the string can vibrate in many different directions turns out to be the key to being able to describe all the particles that we see.
Edward Witten
Key
Extra
String
Ways
Those
Dimensions
Out
See
Able
Having
Directions
Particles
Vibrate
Being
Different
Different Directions
Turns
Many
Therefore
Describe
So when you ask me how string theory might be tested, I can tell you what's likely to happen at accelerators or some parts of the theory that are likely to be tested.
Edward Witten
Me
You
String
String Theory
Tell
Some
Likely
Parts
How
Tested
Happen
Might
Ask
Theory
Spreading out the particle into a string is a step in the direction of making everything we're familiar with fuzzy. You enter a completely new world where things aren't at all what you're used to.
Edward Witten
You
World
Everything
String
Enter
Out
Fuzzy
Direction
Step
New
Particle
Making
Spreading
Familiar
New World
Where
Used
Things
The theory has to be interpreted that extra dimensions beyond the ordinary four dimensions the three spatial dimensions plus time are sufficiently small that they haven't been observed yet.
Edward Witten
Time
Three
Extra
Dimensions
Plus
Small
Observed
Beyond
Been
Ordinary
Spatial
Theory
Sufficiently
Four
Interpreted
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