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Find Henri Poincare on:
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Henri Poincare Quotes
French

Mathematician
April 29
, 1854 
July 17
, 1912
Mathematics is the art of giving the same name to different things.
Henri Poincare
Art
,
Mathematics
,
Giving
,
Name
,
Same
If one looks at the different problems of the integral calculus which arise naturally when one wishes to go deep into the different parts of physics, it is impossible not to be struck by the analogies existing.
Henri Poincare
Deep
,
Problems
,
Impossible
,
Physics
,
Go
A sane mind should not be guilty of a logical fallacy, yet there are very fine minds incapable of following mathematical demonstrations.
Henri Poincare
Mind
,
Guilty
,
Minds
,
Logical
,
Fine
,
Sane
Mathematicians do not study objects, but relations between objects.
Henri Poincare
Study
,
Mathematicians
,
Objects
,
Between
Mathematicians are born, not made.
Henri Poincare
Born
,
Mathematicians
,
Made
If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living.
Henri Poincare
Life
,
Nature
,
Beautiful
,
Living
,
Worth
Geometry is not true, it is advantageous.
Henri Poincare
True
,
Geometry
How is an error possible in mathematics?
Henri Poincare
Mathematics
,
Possible
,
Error
,
How
Thought is only a flash between two long nights, but this flash is everything.
Henri Poincare
Thought
,
Long
,
Two
,
Everything
,
Only
Ideas rose in clouds; I felt them collide until pairs interlocked, so to speak, making a stable combination.
Henri Poincare
Clouds
,
Ideas
,
Rose
,
Speak
,
Pairs
,
Until
Science is built up of facts, as a house is with stones. But a collection of facts is no more a science than a heap of stones is a house.
Henri Poincare
Science
,
Facts
,
House
,
More
,
Up
,
Stones
Invention consists in avoiding the constructing of useless contraptions and in constructing the useful combinations which are in infinite minority.
Henri Poincare
Infinite
,
Useless
,
Minority
,
Invention
Hypotheses are what we lack the least.
Henri Poincare
Lack
,
Least
,
Hypotheses
It is the harmony of the diverse parts, their symmetry, their happy balance; in a word it is all that introduces order, all that gives unity, that permits us to see clearly and to comprehend at once both the ensemble and the details.
Henri Poincare
Happy
,
Balance
,
Unity
,
Details
,
Harmony
Mathematical discoveries, small or great are never born of spontaneous generation.
Henri Poincare
Great
,
Small
,
Generation
,
Born
,
Never
It is through science that we prove, but through intuition that we discover.
Henri Poincare
Science
,
Prove
,
Intuition
,
Through
A very small cause which escapes our notice determines a considerable effect that we cannot fail to see, and then we say that the effect is due to chance.
Henri Poincare
Chance
,
Small
,
Say
,
See
,
Fail
,
Cause
It has adopted the geometry most advantageous to the species or, in other words, the most convenient.
Henri Poincare
Words
,
Geometry
,
Most
,
Species
,
Other
If that enabled us to predict the succeeding situation with the same approximation, that is all we require, and we should say that the phenomenon had been predicted, that it is governed by the laws.
Henri Poincare
Situation
,
Say
,
Same
,
Predict
,
Us
,
Laws
No more than these machines need the mathematician know what he does.
Henri Poincare
Know
,
Need
,
More
,
Machines
,
He
,
Than
What is it indeed that gives us the feeling of elegance in a solution, in a demonstration?
Henri Poincare
Elegance
,
Feeling
,
Solution
,
Us
,
Indeed
Need we add that mathematicians themselves are not infallible?
Henri Poincare
Need
,
Mathematicians
,
Add
,
Infallible
To invent is to discern, to choose.
Henri Poincare
Choose
,
Invent
,
Discern
A small error in the former will produce an enormous error in the latter.
Henri Poincare
Small
,
Will
,
Error
,
Produce
,
Former
The mind uses its faculty for creativity only when experience forces it to do so.
Henri Poincare
Experience
,
Creativity
,
Mind
,
Only
,
Uses
Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves, has no objective existence.
Henri Poincare
Space
,
Earth
,
Know
,
Say
,
Existence
,
Mark
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Related Authors
Isaac Newton
Rene Descartes
Archimedes
Pythagoras
Alfred North Whitehead
Alan Turing
Charles Babbage
Carl Friedrich Gauss
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