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Here at Wisconsin we didn't get an undergraduate course in mathematical logic until the '60s.

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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.

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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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The Columbiad: Book I

The Argument


Natives of America appear in vision. Their manners and characters. Columbus demands the cause of the dissimilarity of men in different countries, Hesper replies, That the human body is composed of a due proportion of the elements suited to the place of its first formation; that these elements, differently proportioned, produce all the changes of health, sickness, growth and decay; and may likewise produce any other changes which occasion the diversity of men; that these elemental proportions are varied, not more by climate than temperature and other local circumstances; that the mind is likewise in a state of change, and will take its physical character from the body and from external objects: examples. Inquiry concerning the first peopling of America. View of Mexico. Its destruction by Cortez. View of Cusco and Quito, cities of Peru. Tradition of Capac and Oella, founders of the Peruvian empire. Columbus inquires into their real history. Hesper gives an account of their origin, and relates the stratagems they used in establishing that empire.

I sing the Mariner who first unfurl'd
An eastern banner o'er the western world,
And taught mankind where future empires lay
In these fair confines of descending day;
Who sway'd a moment, with vicarious power,
Iberia's sceptre on the new found shore,
Then saw the paths his virtuous steps had trod
Pursued by avarice and defiled with blood,
The tribes he foster'd with paternal toil
Snatch'd from his hand, and slaughter'd for their spoil.

Slaves, kings, adventurers, envious of his name,
Enjoy'd his labours and purloin'd his fame,
And gave the Viceroy, from his high seat hurl'd.
Chains for a crown, a prison for a world
Long overwhelm'd in woes, and sickening there,
He met the slow still march of black despair,
Sought the last refuge from his hopeless doom,
And wish'd from thankless men a peaceful tomb:
Till vision'd ages, opening on his eyes,
Cheer'd his sad soul, and bade new nations rise;
He saw the Atlantic heaven with light o'ercast,
And Freedom crown his glorious work at last.

Almighty Freedom! give my venturous song
The force, the charm that to thy voice belong;
Tis thine to shape my course, to light my way,
To nerve my country with the patriot lay,
To teach all men where all their interest lies,
How rulers may be just and nations wise:
Strong in thy strength I bend no suppliant knee,
Invoke no miracle, no Muse but thee.

Night held on old Castile her silent reign,
Her half orb'd moon declining to the main;
O'er Valladolid's regal turrets hazed
The drizzly fogs from dull Pisuerga raised;
Whose hovering sheets, along the welkin driven,
Thinn'd the pale stars, and shut the eye from heaven.
Cold-hearted Ferdinand his pillow prest,
Nor dream'd of those his mandates robb'd of rest,
Of him who gemm'd his crown, who stretch'd his reign
To realms that weigh'd the tenfold poise of Spain;
Who now beneath his tower indungeon'd lies,
Sweats the chill sod and breathes inclement skies.

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Voyage around the Square Root of Minus One

I often heard
that while the sciences concern themselves
with objective truths
the arts deal with subjective phenomena.

Many years ago I held the same view,
but later came to the conclusion
that this is just a well-combed popular myth.

It is an untenable credo
because the sharp separation
of the arts and sciences is a rigid
and arbitrary mandate, full of holes.

Although all subjects have their specificities,
at the same time they also share
many common traits with each other.

There is art in science and science in art.

Artists, for example,
apply geometry to represent
a three dimensional scene in a painting,
which is a two dimensional surface.

By using ‘objective' geometrical perspective,
Renaissance artists, among them Alberti,
Brunelleschi, Uccello, Leonardo and Dürer,
developed in Europe the ‘subjective' illusion
of perceptual realism.

Later, in the Dutch Republic of the 17th century,
Johannes Vermeer applied expensive pigments
to the canvas and conducted
pioneering research in optics that enhanced
the supreme quality of his work,
imbuing his paintings with sublime,
otherworldly light.

In the 19th century
the Romantic painter John Constable
prepared detailed studies
of the landscape and weather conditions
of England, before transcribing them
into images of stunning accuracy and grace.

Following the closing of the Weimar Bauhaus
by the Nazis in 1933, the artist Josef Albers
moved to the USA, where he worked at
Black Mountain College and at Yale University.

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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.

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XI. Guido

You are the Cardinal Acciaiuoli, and you,
Abate Panciatichi—two good Tuscan names:
Acciaiuoli—ah, your ancestor it was
Built the huge battlemented convent-block
Over the little forky flashing Greve
That takes the quick turn at the foot o' the hill
Just as one first sees Florence: oh those days!
'T is Ema, though, the other rivulet,
The one-arched brown brick bridge yawns over,—yes,
Gallop and go five minutes, and you gain
The Roman Gate from where the Ema's bridged:
Kingfishers fly there: how I see the bend
O'erturreted by Certosa which he built,
That Senescal (we styled him) of your House!
I do adjure you, help me, Sirs! My blood
Comes from as far a source: ought it to end
This way, by leakage through their scaffold-planks
Into Rome's sink where her red refuse runs?
Sirs, I beseech you by blood-sympathy,
If there be any vile experiment
In the air,—if this your visit simply prove,
When all's done, just a well-intentioned trick,
That tries for truth truer than truth itself,
By startling up a man, ere break of day,
To tell him he must die at sunset,—pshaw!
That man's a Franceschini; feel his pulse,
Laugh at your folly, and let's all go sleep!
You have my last word,—innocent am I
As Innocent my Pope and murderer,
Innocent as a babe, as Mary's own,
As Mary's self,—I said, say and repeat,—
And why, then, should I die twelve hours hence? I—
Whom, not twelve hours ago, the gaoler bade
Turn to my straw-truss, settle and sleep sound
That I might wake the sooner, promptlier pay
His due of meat-and-drink-indulgence, cross
His palm with fee of the good-hand, beside,
As gallants use who go at large again!
For why? All honest Rome approved my part;
Whoever owned wife, sister, daughter,—nay,
Mistress,—had any shadow of any right
That looks like right, and, all the more resolved,
Held it with tooth and nail,—these manly men
Approved! I being for Rome, Rome was for me.
Then, there's the point reserved, the subterfuge
My lawyers held by, kept for last resource,
Firm should all else,—the impossible fancy!—fail,
And sneaking burgess-spirit win the day.
The knaves! One plea at least would hold,—they laughed,—
One grappling-iron scratch the bottom-rock

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Prejudice

IN yonder red-brick mansion, tight and square,
Just at the town's commencement, lives the mayor.
Some yards of shining gravel, fenced with box,
Lead to the painted portal--where one knocks :
There, in the left-hand parlour, all in state,
Sit he and she, on either side the grate.
But though their goods and chattels, sound and new,
Bespeak the owners very well to do,
His worship's wig and morning suit betray
Slight indications of an humbler day

That long, low shop, where still the name appears,
Some doors below, they kept for forty years :
And there, with various fortunes, smooth and rough,
They sold tobacco, coffee, tea, and snuff.
There labelled drawers display their spicy row--
Clove, mace, and nutmeg : from the ceiling low
Dangle long twelves and eights , and slender rush,
Mix'd with the varied forms of genus brush ;
Cask, firkin, bag, and barrel, crowd the floor,
And piles of country cheeses guard the door.
The frugal dames came in from far and near,
To buy their ounces and their quarterns here.
Hard was the toil, the profits slow to count,
And yet the mole-hill was at last a mount.
Those petty gains were hoarded day by day,
With little cost, for not a child had they ;
Till, long proceeding on the saving plan,
He found himself a warm, fore-handed man :
And being now arrived at life's decline,
Both he and she, they formed the bold design,
(Although it touched their prudence to the quick)
To turn their savings into stone and brick.
How many an ounce of tea and ounce of snuff,
There must have been consumed to make enough !

At length, with paint and paper, bright and gay,
The box was finished, and they went away.
But when their faces were no longer seen
Amongst the canisters of black and green ,
--Those well-known faces, all the country round--
'Twas said that had they levelled to the ground
The two old walnut trees before the door,
The customers would not have missed them more.
Now, like a pair of parrots in a cage,
They live, and civic honours crown their age :
Thrice, since the Whitsuntide they settled there,
Seven years ago, has he been chosen mayor ;
And now you'd scarcely know they were the same ;
Conscious he struts, of power, and wealth, and fame ;

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RESEARCH ON RECURSIVE FUNCTIONS, LOGIC AND THEORY OF DEMONSTRATION - In 1927, the Romanian mathematician Gabriel Sudan (1899-1977), with his doctorate at David Hilbert, gave the first example of a recursive function that is not primitive recursive, before Wilhelm Ackermann ( 1928). Between 1934-1942, at the University of Iași, the mathematician Grigore C. Moisil (1906-1973) dealt with "Logic and the theory of demonstration" and aiming to "learn mathematics from the beginning", he studied at the "wonderful library" of the Mathematical Seminar in Iași, the book by Hilbert and Ackermann, but also the 3 volumes “Principia Mathematica” by Russel and Whitehead. Professor Moisil learned about Lukasiewicz's multi-valued logics in the spring of 1935, when T. Kotarbinski, a professor at the University of Warsaw, gave 3 public lectures and a short lecture at the Mathematical Seminar on Lukasiewicz's writing without parentheses. .

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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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Tortoise Shell

The Cross, the Cross
Goes deeper in than we know,
Deeper into life;
Right into the marrow
And through the bone.
Along the back of the baby tortoise
The scales are locked in an arch like a bridge,
Scale-lapping, like a lobster's sections
Or a bee's.

Then crossways down his sides
Tiger-stripes and wasp-bands.

Five, and five again, and five again,
And round the edges twenty-five little ones,
The sections of the baby tortoise shell.

Four, and a keystone;
Four, and a keystone;
Four, and a keystone;
Then twenty-four, and a tiny little keystone.

It needed Pythagoras to see life playing with counters on the living back
Of the baby tortoise;
Life establishing the first eternal mathematical tablet,
Not in stone, like the Judean Lord, or bronze, but in life-clouded, life-rosy tortoise shell.

The first little mathematical gentleman
Stepping, wee mite, in his loose trousers
Under all the eternal dome of mathematical law.

Fives, and tens,
Threes and fours and twelves,
All the volte face of decimals,
The whirligig of dozens and the pinnacle of seven.

Turn him on his back,
The kicking little beetle,
And there again, on his shell-tender, earth-touching belly,
The long cleavage of division, upright of the eternal cross
And on either side count five,
On each side, two above, on each side, two below
The dark bar horizontal.

The Cross!
It goes right through him, the sprottling insect,
Through his cross-wise cloven psyche,
Through his five-fold complex-nature.

So turn him over on his toes again;

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Growing Pains

Behold the undergraduate
A most amusing fellow
In all his jesting up-to-date
His sense of humor is so great,
His modern wit so mellow,
That no quip serves him lest it be
Rich in originality.

Assured of overwhelming odds,
Seizing the freshmen's persons,
Indelibly he daubs these clods,
To waken mirth in men and gods.
(Saving a few McPhersons
And other members of their race
Who have of humor, not a trace.)

The softier sort of joke that serves
Dull age - the quaint or quizzical
Gains his contempt, as it deserves;
Mere wordy wit gets on his nerves;
His jokes are ever physical,
And richer qualities attain
The more they hold of cosmic pain.

To torture victims till they squeal
Is mirthfully effectual;
Humor lacks pith unless these feel
Fierce torments: wit has no appeal
That's solely intellectual.
The quirk, the paradox outworn,
The epigram but earn his scorn.

No milder jest may give him joy
Strange, adolescent creature,
Suspended 'twixt the man and boy
No rag's worth while lest it employ
Some quaintly painful feature;
But jokes, that moved the stone-age man
To shrieks of mirth, he'll gladly plan.

Behold the undergraduate
And pity him a little,
Remembering 'twas once our fate
To linger in that loutish state
That holds of grace no tittle,
But comes alike to boy and pup
The penalty of growing up.

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IV. Tertium Quid

True, Excellency—as his Highness says,
Though she's not dead yet, she's as good as stretched
Symmetrical beside the other two;
Though he's not judged yet, he's the same as judged,
So do the facts abound and superabound:
And nothing hinders that we lift the case
Out of the shade into the shine, allow
Qualified persons to pronounce at last,
Nay, edge in an authoritative word
Between this rabble's-brabble of dolts and fools
Who make up reasonless unreasoning Rome.
"Now for the Trial!" they roar: "the Trial to test
"The truth, weigh husband and weigh wife alike
"I' the scales of law, make one scale kick the beam!"
Law's a machine from which, to please the mob,
Truth the divinity must needs descend
And clear things at the play's fifth act—aha!
Hammer into their noddles who was who
And what was what. I tell the simpletons
"Could law be competent to such a feat
"'T were done already: what begins next week
"Is end o' the Trial, last link of a chain
"Whereof the first was forged three years ago
"When law addressed herself to set wrong right,
"And proved so slow in taking the first step
"That ever some new grievance,—tort, retort,
"On one or the other side,—o'ertook i' the game,
"Retarded sentence, till this deed of death
"Is thrown in, as it were, last bale to boat
"Crammed to the edge with cargo—or passengers?
"'Trecentos inseris: ohe, jam satis est!
"'Huc appelle!'—passengers, the word must be."
Long since, the boat was loaded to my eyes.
To hear the rabble and brabble, you'd call the case
Fused and confused past human finding out.
One calls the square round, t' other the round square—
And pardonably in that first surprise
O' the blood that fell and splashed the diagram:
But now we've used our eyes to the violent hue
Can't we look through the crimson and trace lines?
It makes a man despair of history,
Eusebius and the established fact—fig's end!
Oh, give the fools their Trial, rattle away
With the leash of lawyers, two on either side—
One barks, one bites,—Masters Arcangeli
And Spreti,—that's the husband's ultimate hope
Against the Fisc and the other kind of Fisc,
Bound to do barking for the wife: bow—wow!
Why, Excellency, we and his Highness here
Would settle the matter as sufficiently

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I am the supreme!

Infinity! Very funny!
No ends, no starts!
Mathematical, concrete logic!
Why not the creator If the creation is automatic?
Talent breaks talent, logic devours logic!

God is the creation of people!
Man is the supreme, not the god! !
You are the human, create this notion.
I had demolished it being a supreme! !

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Amours de Voyage, Canto II

Is it illusion? or does there a spirit from perfecter ages,
Here, even yet, amid loss, change, and corruption abide?
Does there a spirit we know not, though seek, though we find, comprehend not,
Here to entice and confuse, tempt and evade us, abide?
Lives in the exquisite grace of the column disjointed and single,
Haunts the rude masses of brick garlanded gaily with vine,
E'en in the turret fantastic surviving that springs from the ruin,
E'en in the people itself? is it illusion or not?
Is it illusion or not that attracteth the pilgrim transalpine,
Brings him a dullard and dunce hither to pry and to stare?
Is it illusion or not that allures the barbarian stranger,
Brings him with gold to the shrine, brings him in arms to the gate?

I. Claude to Eustace.

What do the people say, and what does the government do?--you
Ask, and I know not at all. Yet fortune will favour your hopes; and
I, who avoided it all, am fated, it seems, to describe it.
I, who nor meddle nor make in politics,--I who sincerely
Put not my trust in leagues nor any suffrage by ballot,
Never predicted Parisian millenniums, never beheld a
New Jerusalem coming down dressed like a bride out of heaven
Right on the Place de la Concorde,--I, nevertheless, let me say it,
Could in my soul of souls, this day, with the Gaul at the gates shed
One true tear for thee, thou poor little Roman Republic;
What, with the German restored, with Sicily safe to the Bourbon,
Not leave one poor corner for native Italian exertion?
France, it is foully done! and you, poor foolish England,--
You, who a twelvemonth ago said nations must choose for themselves, you
Could not, of course, interfere,--you, now, when a nation has chosen----
Pardon this folly! The Times will, of course, have announced the occasion,
Told you the news of to-day; and although it was slightly in error
When it proclaimed as a fact the Apollo was sold to a Yankee,
You may believe when it tells you the French are at Civita Vecchia.

II. Claude to Eustace.

Dulce it is, and decorum, no doubt, for the country to fall,--to
Offer one's blood an oblation to Freedom, and die for the Cause; yet
Still, individual culture is also something, and no man
Finds quite distinct the assurance that he of all others is called on,
Or would be justified even, in taking away from the world that
Precious creature, himself. Nature sent him here to abide here;
Else why send him at all? Nature wants him still, it is likely;
On the whole, we are meant to look after ourselves; it is certain
Each has to eat for himself, digest for himself, and in general

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