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To doubt everything, or, to believe everything,
by Henri Poincare

To doubt everything, or, to believe everything,
are two equally convenient solutions;
both dispense with the necessity of reflection.
- Henri Poincare

Just as houses are made of stones, so is science made of facts.
- Henri Poincare

Facts do not speak.
- Henri Poincare

A small error in the former will produce an enormous error in the latter.
- Henri Poincare

 

The scientist does not study nature because it is useful;
he studies it because he delights in it,
and he delights in it because it is beautiful.
- Henri Poincare

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

If we knew exactly the laws of nature and the situation
of the universe at the initial moment,
we could predict exactly the situation of the same
universe at a succeeding moment.
- Henri Poincare

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A scientist worthy of his name, about all a mathematician,
experiences in his work the same impression as an artist;
his pleasure is as great and of the same nature.
- Henri Poincare

How is an error possible in mathematics?
- Henri Poincare

Hypotheses are what we lack the least.
- Henri Poincare

Point set topology is a disease from which the human race will soon recover.
- Henri Poincare

To invent is to discern, to choose.
- Henri Poincare

It is far better to foresee even without certainty
than not to foresee at all.
- Henri Poincare

Geometry is not true, it is advantageous.
- Henri Poincare

A sane mind should not be guilty of a logical fallacy,
yet there are very fine minds incapable of following
mathematical demonstrations.
- Henri Poincare

It has adopted the geometry most advantageous to the species or,
in other words, the most convenient.
- Henri Poincare

The mind uses its faculty for creativity only when
experience forces it to do so.
- Henri Poincare

Ideas rose in clouds; I felt them collide until pairs interlocked,
so to speak, making a stable combination.
- Henri Poincare

Mathematical discoveries, small or great are never
born of spontaneous generation.
- Henri Poincare

Mathematics is the art of giving the same name to different things.
- Henri Poincare

Need we add that mathematicians themselves are not infallible?
- Henri Poincare

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

Thought is only a flash between two long nights,
but this flash is everything.
- Henri Poincare

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

In the old days when people invented a new function
they had something useful in mind.
- Henri Poincare

It is through science that we prove,
but through intuition that we discover.
- Henri Poincare

Invention consists in avoiding the constructing of
useless contraptions and in constructing the useful
combinations which are in infinite minority.
- Henri Poincare

Mathematicians do not study objects,
but relations between objects.
- Henri Poincare

Mathematicians are born, not made.
- Henri Poincare

No more than these machines need the mathematician know what he does.
- Henri Poincare

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

What is it indeed that gives us the feeling of elegance in a solution,
in a demonstration?
- Henri Poincare

The mathematical facts worthy of being studied are those which,
by their analogy with other facts, are capable of leading
us to the knowledge of a physical law.
- Henri Poincare

Science is facts.
- Henri Poincare

Thus, they are free to replace some objects by others
so long as the relations remain unchanged.
- Henri Poincare

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

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

One would have to have completely forgotten the history
of science so as to not remember that the desire to
know nature has had the most constant and the happiest
influence on the development of mathematics.
- Henri Poincare

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

This is my wish for you:
Comfort on difficult days,
Smiles when sadness intrudes,
Rainbows to follow the clouds,
Laughter to kiss your lips,
Sunsets to warm your heart,
Hugs when spirits sag,
Beauty for your eyes to see,
Friendships to brighten your being,
Faith so that you can believe,
Confidence for when you doubt,
Courage to know yourself,
Patience to accept the truth,
Love to complete your life.
- Anonymous

Great leaders are almost always great simplifiers,
who can cut through argument, debate, and doubt
to offer a solution everybody can understand.
- Colin Powell

Doubt is not a pleasant condition, but certainty is absurd.
- Voltaire

Believe those who are seeking the truth.
Doubt those who find it.
- Andre Gide

When in doubt, do it.
- Oliver Wendell Holmes, Jr.

Doubt is the vestibule which we all must pass through
before we can enter the temple of truth.
- Osho

It is not my place to doubt the sincere beliefs of others.
My job is to question my own beliefs.
- Jonathan Lockwood Huie

Doubt is the beginning of wisdom.
- Aristotle

Beyond a doubt, truth bears the same relation
to falsehood as light to darkness.
- Leonardo da Vinci

Inaction breeds doubt and fear.
Action breeds confidence and courage.
If you want to conquer fear,
do not sit home and think about it.
Go out and get busy.
- Dale Carnegie

Never doubt that a small group of thoughtful,
committed people can change the world.
Indeed, it is the only thing that ever has.
- Margaret Mead

Doubt and mistrust are the mere panic of timid imagination,
which the steadfast heart will conquer,
and the large mind will transcend.
- Helen Keller

When prayer removes distrust and doubt
and enters the field of mental certainty,
it becomes faith; and the universe is built on faith.
- Ernest Holmes

When all is said and done,
the one sole condition that makes
spiritual happiness and preserves it
is the absence of doubt.
- Mark Twain

Once we doubt ourselves, success slips beyond our grasp.
- Jonathan Lockwood Huie

I do not believe in the God of the theologians;
but that there is a Supreme Intelligence I do not doubt.
- Thomas Edison

My life is for living, not for worry or doubt,
- Jonathan Lockwood Huie

I no doubt deserved my enemies,
but I don't believe I deserved my friends.
- Walt Whitman

Truth is beautiful, without doubt; but so are lies.
- Ralph Waldo Emerson

There is nothing more dreadful than the habit of doubt.
Doubt separates people.
It is a poison that disintegrates
friendships and breaks up pleasant relations.
It is a thorn that irritates and hurts;
it is a sword that kills.
- The Buddha

If you doubt the virtue in self-honor,
remember what the flight attendant says,
"Put your own oxygen mask on first."
You are of no use to anyone else
if you have not taken care of your own needs first -
this includes your own emotional,
as well as physical, well-being.
In addition, your greatest value to your children,
your family, your friends, and your community
is the example you set, leading a great life that inspires
those around you to emulate your being.
- Jonathan Lockwood Huie

I doubt that the imagination can be suppressed.
If you truly eradicated it in a child,
he would grow up to be an eggplant.
- Ursula K. Le Guin

Faith means belief in something concerning which doubt
is theoretically possible.
- William James

Never doubt that you can change history.
You already have.
- Marge Piercy

To walk through the ruined cities of Germany is to
feel an actual doubt about the continuity of civilization.
- George Orwell

When in doubt, mumble; when in trouble,
delegate; when in charge, ponder.
- James H. Boren

When in doubt, take more time.
- John Zimmerman

Doubt is part of all religion.
All the religious thinkers were doubters.
- Isaac Bashevis Singer

Faith keeps many doubts in her pay.
If I could not doubt, I should not believe.
- Henry David Thoreau

I don't doubt God. I have firm faith absolutely in God.
It's religion I'm doubting.
- Bono

There is too much fathering going on just now and there
is no doubt about it fathers are depressing.
- Gertrude Stein

I don't think there's any artist of any value who doesn't
doubt what they're doing.
- Francis Ford Coppola


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- Jonathan Lockwood Huie

 


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