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Jean Piaget

Logic and mathematics are nothing but specialised linguistic structures.

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Dealing Dreams

Dont you feel so very pointless here
In the feelings of the rain
The violence of the sun?
I must confess that I feel graciously
To be of the rain
And hotter than the sun
What do you do?
What do you say
When the blood spill is of your loved one
And the kremlins of the world fall around you?
Were dealing dreams, yeah
Were dealing dreams
Were dealing structures that grow cold in our hearts
Oh fearful, crying people
Food is by the river
Watching, but not swimming
It takes energy not to get used to it
Fall into this place
Where everything rolls together and dies
This crying kingdom she is now
Forever will she be
The silence of a (? )
Were dealing dreams, yeah
Were dealing dreams
Were dealing structures that grow cold in our hearts, yeah
Were dealing dreams, yeah
Were dealing dreams
Were dealing structures that grow cold in our hearts
Were dealing dreams
Structures that grow cold in our hearts, yeah
Were dealing dreams
Were dealing dreams, ah yes, ah yes, dreams
Structures that grow cold
Structures that grow cold
Structures that grow cold in our hearts
Dont you feel so very pointless here
In the feelings of the rain
The violence of the sun?

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Logic And Love

Logic And Love
(Feldman Chandler)
Love and logic just don't go together
Try to force it, you'll be trying forever
Why discuss it when you're missing the point
Girl
Forget the fakin' all I care is that you're
Chorus:
Making all the right moves
You're making all the moves that hit the spot
You're speaking only half-truths girl
Just tell me all the things I like a lot
Stop thinking you're much too intense
Don't even try to make love make sense
Don't even try to make love make sense
Don't even try to say we're just good friends
Logic and love clash in your head
You don't see reason you just see red
We could argue 'till you're blue in the face girl
The time you're taking is the time you could be
Repeat Chorus
I'm talking logic and love
I'm talking logic and love
Our scientific world demands that everything's
explained
You're an ultra-modern girl
But can't you see there's nothing to be gained
In analyzing love
You're making only false moves
But everything you do still hits the spot
And do you know what that proves girl
That love is far away the best we got, you know
The best of lovers don't have to be friends
Don't even try to make love make sense
Don't even try to make love make sense
Don't even try to say we're just good friends
Don't even try to make love make sense
Don't even try girl don't pretend
I'm talking logic and love
I'm talking logic and love
Logic and love
Logic and love

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Logic & Love

Logic and love
(feldman / chandler)
Love and logic just dont go together
Try to force it, youll be trying forever
Why discuss it when youre missing the point
Girl
Forget the fakin all I care is that youre
Chorus:
Making all the right moves
Youre making all the moves that hit the spot
Youre speaking only half-truths girl
Just tell me all the things I like a lot
Stop thinking youre much too intense
Dont even try to make love make sense
Dont even try to make love make sense
Dont even try to say were just good friends
Logic and love clash in your head
You dont see reason you just see red
We could argue till youre blue in the face girl
The time youre taking is the time you could be
Repeat chorus
Im talking logic and love
Im talking logic and love
Our scientific world demands that everythings
Explained
Youre an ultra-modern girl
But cant you see theres nothing to be gained
In analyzing love
Youre making only false moves
But everything you do still hits the spot
And do you know what that proves girl
That love is far away the best we got, you know
The best of lovers dont have to be friends
Dont even try to make love make sense
Dont even try to make love make sense
Dont even try to say were just good friends
Dont even try to make love make sense
Dont even try girl dont pretend
Im talking logic and love
Im talking logic and love
Logic and love
Logic and love

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We Deal In Dreams

Don't you feel so very pointless
In the feelings of the rain
And the violence of the sun
I must confess that I feel graciously
Bigger than the rain
And hotter than the sun
What did you do
What do you say
When the blood spilled is of your loved one
And the kremlins of the world fall around you
We deal in dreams, yeah
We deal in dreams
We deal in structures that grow cold in our hearts
Oh fearful, crying people
The fool is by the river
Watching, but not swimming
It takes energy not to get used to it
And fall into this place
Where everything runs together and dies
This quiet kingdom she is now
Forever will she be, in silent celebration
We deal in dreams, yeah
We deal in dreams
We deal in structures that grow cold in our hearts, yeah
We deal in dreams
We deal in dreams
We deal in structures that grow cold in our hearts, yeah
We deal in dreams
We deal in dreams, silent silent dreams
Structures that grow cold
Structures that grow cold
Structures that grow cold in our hearts, yeah
Don't you feel so very pointless
In the feelings of the rain
And the violence of the sun

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The Interpretation of Nature and

I.

MAN, being the servant and interpreter of Nature, can do and understand so much and so much only as he has observed in fact or in thought of the course of nature: beyond this he neither knows anything nor can do anything.


II.

Neither the naked hand nor the understanding left to itself can effect much. It is by instruments and helps that the work is done, which are as much wanted for the understanding as for the hand. And as the instruments of the hand either give motion or guide it, so the instruments of the mind supply either suggestions for the understanding or cautions.

III.

Human knowledge and human power meet in one; for where the cause is not known the effect cannot be produced. Nature to be commanded must be obeyed; and that which in contemplation is as the cause is in operation as the rule.

IV.

Towards the effecting of works, all that man can do is to put together or put asunder natural bodies. The rest is done by nature working within.

V.

The study of nature with a view to works is engaged in by the mechanic, the mathematician, the physician, the alchemist, and the magician; but by all (as things now are) with slight endeavour and scanty success.

VI.

It would be an unsound fancy and self-contradictory to expect that things which have never yet been done can be done except by means which have never yet been tried.

VII.

The productions of the mind and hand seem very numerous in books and manufactures. But all this variety lies in an exquisite subtlety and derivations from a few things already known; not in the number of axioms.

VIII.

Moreover the works already known are due to chance and experiment rather than to sciences; for the sciences we now possess are merely systems for the nice ordering and setting forth of things already invented; not methods of invention or directions for new works.

IX.

The cause and root of nearly all evils in the sciences is this -- that while we falsely admire and extol the powers of the human mind we neglect to seek for its true helps.

X.

The subtlety of nature is greater many times over than the subtlety of the senses and understanding; so that all those specious meditations, speculations, and glosses in which men indulge are quite from the purpose, only there is no one by to observe it.

XI.

As the sciences which we now have do not help us in finding out new works, so neither does the logic which we now have help us in finding out new sciences.

XII.

The logic now in use serves rather to fix and give stability to the errors which have their foundation in commonly received notions than to help the search after truth. So it does more harm than good.

XIII.

[...] Read more

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Logic suffers

Desire blurs the logic.
Passion wounds the logic.
Fear maims the logic.
Rage kills the logic.
They spring from instincts
To protect the self
And hence ignore the logic.
Logic is meant for the third person.
24.06.2012

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The Twenty Hoss-Power Shay

You have heard of the wonderful one-hoss shay
That was built in such a logical way
It ran a hundred years to a day.
And then, of a sudden, it up and bust,
And all that was left was a mound of dust?
Holmes -- O. W. -- told it well
In a rhyme of his -- what there was to tell --
But the one-hoss shay wasn't "one, two, three"
With a vehicle once belonged to me.

One hoss? No, sir! Not six nor nine --
Twenty there were in this rig of mine!
Twenty hosses as tough as rocks,
All caged up in a sort of box
That stood jist back of the forward wheels!
Right! She was one of those automobiles
With twenty hosses bottled inside -
Hosses that not only pull but ride!
Wonder what Holmes would have had to say
If the mare had rode in his one-hoss shay!
I reckon the shay would have logicked out
Before the century rolled about.

Well, this big touring car, I say,
Was built just like the one-hoss shay --
Some dependable, logical way --
Flipflaps, dujabs, wheels and things,
Levers, thing-gum-bobs and springs,
Hub, and felloe, and hoss-power chest --
One part just as strong as the rest;
So "logic is logic," as Holmes would say,
And no one part could first give way.

Wonderful vehicle, you'll admit,
With not one flaw in the whole of it;
As long as I had it, I declare
I hadn't one cent to pay for repair,
It couldn't break down because, you see,
It was such a logical symphony.

Now for my tale. We're not so slow
These days as a hundred years ago,
And it's like enough that the one-hoss shay,
Ambling along in its sleepy way,
Should creep a century 'thout a break,
But nowadays we aim to make
A pace that is something like a pace,
And if that old shay got in our race
It would stand the pressure twenty days
And go to the home of played-out shays.

[...] Read more

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Mathematics is the most powerful tool that people have developed to investigate the world around us. But it is taught so that students do not realize this. The language of mathematics is able to describe objects, structures, properties and relationships in an unambiguous way. In this context we talk about the power of the "descriptive" of mathematics. In this way, people were able to formulate and express such assertions accurate and unambiguous knowledge.

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May not music be described as the mathematics of the sense, mathematics as music of the reason? The musician feels mathematics, the mathematician thinks music: music the dream, mathematics the working life.

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Songs of Education

I. HISTORY

Form 991785, Sub-Section D

The Roman threw us a road, a road,
And sighed and strolled away:
The Saxon gave us a raid, a raid,
A raid that came to stay;
The Dane went west, but the Dane confessed
That he went a bit too far;
And we all became, by another name,
The Imperial race we are.

The Imperial race, the inscrutable race,
The invincible race we are.

Though Sussex hills are bare, are bare,
And Sussex weald is wide,
From Chichester to Chester
Men saw the Norman ride;
He threw his sword in the air and sang
To a sort of a light guitar;
It was all the same, for we all became
The identical nobs we are.

The identical nobs, individual nobs,
Unmistakable nobs we are.

The people lived on the land, the land,
They pottered about and prayed;
They built a cathedral here and there
Or went on a small crusade:
Till the bones of Becket were bundled out
For the fun of a fat White Czar,
And we all became, in spoil and flame,
The intelligent lot we are.

The intelligent lot, the intuitive lot,
The infallible lot we are.

O Warwick woods are green, are green,
But Warwick trees can fall:
And Birmingham grew so big, so big,
And Stratford stayed so small.
Till the hooter howled to the morning lark
That sang to the morning star:
And we all became, in freedom's name,
The fortunate chaps we are.

The fortunate chaps, felicitous chaps,

[...] Read more

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The Delights of Mathematics

It seems a hundred years or more
Since I, with note-book, ink and pen,
In cap and gown, first trod the floor
Which I have often trod since then;
Yet well do I remember when
With fifty other fond fanatics,
I sought delights beyond my ken,
The deep delights of Mathematics.

I knew that two and two made four,
I felt that five times two were ten,
But, as for all profounder lore,
The robin redbreast or the wren,
The sparrow, whether cock or hen,
Knew quite as much about Quadratics,
Was less confused by x and n,
The deep delights of Mathematics.

The Asses' Bridge I passed not o'er,
I floundered in the noisome fen
Which lies behind it and before;
I wandered in the gloomy glen
Where Surds and Factors have their den.
But when I saw the pit of Statics,
I said Good-bye, Farewell, Amen!
The deep delights of Mathematics.

O Bejants! blessed, beardless men,
Who strive with Euclid in your attics,
For worlds I would not taste again
The deep delights of Mathematics.

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Talent Fights Talent, Ego Fights Ego

God is supreme, creation of people! !
Supreme people create god supreme!
Where is the beginning and end of the logic?
Mind breaks, in heart fear creates!
Does supreme man create mind, heart and fear?
Spontaneous, natural and automatic! !
Talent breaks talent, logic devours logic!

One talent creates the dyke
How to demolish it, is busy working mine
Everything is within the mind, nothing is out side it!
People is the supreme, you say the truth!
I am the supreme working to make it untruth.

Really! really! things are spontaneous, natural and automatic!
Ego fights ego, talent fights talent, logic devours logic!

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It...Is Out, Of Logic

Treat me like someone who comes to care.
And not anyone you meet...
Recently picked up,
Off a public street.

And...
Treat me like someone who comes to share.
Since if I was not here at all,
My lack of presence...
To you would be clear!

It...
Is out,
Of logic...
That we blend seamlessly our philosophies.
It is out of logic,
That we amend each others' needs.
It is out of logic,
Our chemistries agree.
With an enhancing done...
Of our journeyed destinies,
Together we can accomplish as one.

Treat me like someone who comes to care.
Someone there for you,
Cheerleading you through...
Whatever you do.

And...
Treat me like someone who comes to share.
Assessments of our troubles...
To discuss as we must,
For the purpose of repair.

It...
Is out,
Of logic...
That we blend seamlessly our philosophies.
And...
Treat me like someone who comes to share.
Cheerleading you through...
Whatever you do.

Since it is out of logic,
Our chemistries agree.
To accomplish as one,
Together doing this to get things done.

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Women are the backbone of many structures. When you build women, you have built those structures. When you break them, you have broken those structures. That is why, women empowerment should never be taken for granted.

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Byron

Canto the Fourth

I.

I stood in Venice, on the Bridge of Sighs;
A palace and a prison on each hand:
I saw from out the wave her structures rise
As from the stroke of the enchanter’s wand:
A thousand years their cloudy wings expand
Around me, and a dying glory smiles
O’er the far times when many a subject land
Looked to the wingèd Lion’s marble piles,
Where Venice sate in state, throned on her hundred isles!

II.

She looks a sea Cybele, fresh from ocean,
Rising with her tiara of proud towers
At airy distance, with majestic motion,
A ruler of the waters and their powers:
And such she was; her daughters had their dowers
From spoils of nations, and the exhaustless East
Poured in her lap all gems in sparkling showers.
In purple was she robed, and of her feast
Monarchs partook, and deemed their dignity increased.

III.

In Venice, Tasso’s echoes are no more,
And silent rows the songless gondolier;
Her palaces are crumbling to the shore,
And music meets not always now the ear:
Those days are gone - but beauty still is here.
States fall, arts fade - but Nature doth not die,
Nor yet forget how Venice once was dear,
The pleasant place of all festivity,
The revel of the earth, the masque of Italy!

IV.

But unto us she hath a spell beyond
Her name in story, and her long array
Of mighty shadows, whose dim forms despond
Above the dogeless city’s vanished sway;
Ours is a trophy which will not decay
With the Rialto; Shylock and the Moor,
And Pierre, cannot be swept or worn away -
The keystones of the arch! though all were o’er,
For us repeopled were the solitary shore.

V.

[...] Read more

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G.K. Chesterton

The Higher Mathematics

Twice one is two,
Twice two is four,
But twice two is ninety-six if you know the way to score.
Half of two is one,
Half of four is two,
But half of four is forty per cent. if your name is Montagu:
For everything else is on the square
If done by the best quadratics;
And nothing is low in High Finance
Or the Higher Mathematics.

A straight line is straight
And a square mile is flat:
But you learn in trigonometrics a trick worth two of that.
Two straight lines
Can't enclose a Space,
But they can enclose a Corner to support the Chosen Race:
For you never know what Dynamics do
With the lower truths of Statics;
And half of two is a touring car
In the Higher Mathematics.

There is a place apart
Beyond the solar ray,
Where parallel straight lines can meet in an unofficial way.
There is a room that holds
The examiner or his clerks,
Where you can square the circle or the man that gives the marks.
Where you hide in the cellar and then look down
On the poets that live in the attics;
For the whole of the house is upside down
In the Higher Mathematics.

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When My Mathematics Teacher Died...

When he died, I felt no pain
Anywhere in my heart at any point of a second,
Our Mathematics teacher was a terror, you don`t know.
He was an odd man of wrong proportions.

When he was born no comets were seen.
Still he weilded the wand of power, a big rod
And tortured the young skins, I remember still.
He was like a Briton on the Indian land.

Mathematics was like a running stream in the section next.
And there our equals had a great Master with wits.
They enjoyed the lines, the triangles and the numbers.
They were little lambs and he the shepherd resurrected.

We were literaly like circus animals
Under him we were covering ever.
Even the gentle girl who scored well grudged him.
We were the Jews and he Hitler the second.

I don`t know much of Mathematics
I kept my head down when I heard about his death.
A strange fear was beginning to grip me
Will he wait for us with his rod in the other world too?

But someone whispered in to my ears
That he would be waiting to hug us there...
A strange wish remains to be fulfilled-
I should love him somewhere once.

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Sailing in Sinbad's Uncharted Sea

Probing the stars and the cosmos
With science, poetry and art
We expand constantly further and farther,
Exploring the shores of the unplumbed.

We are space travelers
in an endless imaginary universe and
in many ways our journeys are not unlike
the fantastic voyages of Sinbad the Sailor
throughout the enchanted Seven Seas.

Sailing the stormy oceans
of the boundless unknown
we travel in brassy ships loaded
with the heavy cargoes of refined words,
elegant forms and amorphous ideas.

Yet even the most precise tool
in our arsenal, Mathematics,
turns to be a social construct:
An invented world.
After all, numbers don't grow on trees.

As it turns out, the correlation
between mathematics and nature
does not have a secure base.
The arithmetic anchor can not hold
the boat of the infinite.

Nevertheless, the human mind
is a fascinating macrocosm.
It mirrors the creative forces
of the physical world,
of which we are an integral part.

And so, in the final analysis,
Mathematics, science and art
are all invented worlds,
creative semiotic ventures.

We live in a metaphoric universe.
We perceive, envision, structure
and interpret reality by ways of symbols.

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Andre Gide

The want of logic annoys. Too much logic bores. Life eludes logic, and everything that logic alone constructs remains artificial and forced.

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Happier

logic can be so tiring,
though sweet and straightforward
but it can be too exacting

and sometimes it does not work for us
it serves us a bowl of
destruction
less the imagination
hating the temporary cure of a fantasy
an illusion of glass
and light
and the provision for smell
of rare oils of lavender and
lemon

do you know that i have given too much reasoning
in exchange for the cold glass of
passivity?

i mean, just sitting down thinking about nothing
discarding the formula for living

like a bowl of clay under the sun
containing upon itself the song and caress of
sunlight

so gentle like a waft of air
around its ring

it is when i discharge what i have
when i surrender what i think i must be
that i become
fully alive


logic can be murderous
not allowing any twist of fate
on solid predictions
of this and that
with no allowance for a miracle

logic can kill us
how can it entertain other possibilities?

it is all numbers and facts
for which life is not.

i embrace possibilities now
as logic taunts and laughs

[...] Read more

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