segunda-feira, 22 de fevereiro de 2010

"Inspiration exists, but it has to find us working."


"The recipe for becoming a good novelist...is easy to give, but to carry it out presupposes qualities one is accustomed to overlook when one says 'I don't have enough talent.'

One has only to make a hundred or so sketches for novels, none longer than two pages but of such distinctness that every word in them is necessary; one should write down anecdotes every day until one has learned how to give them the most pregnant and effective form; one should be tireless in collecting and describing human types and characters; one should above all relate things to others and listen to others relate, keeping one's eyes and ears open for the effect produced on those present, one should travel like a landscape painter or costume designer...one should, finally, reflect on the motives of human actions, disdain no signpost for instruction about them and be a collector of these things by day and night.

One should continue in this many-sided exercise for some ten years; what is then created in the workshop....will be fit to go out into the world." (Nietzsche)

sábado, 20 de fevereiro de 2010

No words to say...


http://www.youtube.com/watch?v=zwkzf-KUNPM

Just listen with your eyes closed. Then do it with your eyes wide open... and then meditate on it...

"I believe that the justification of art is the internal combustion it ignites in the hearts of men and not its shallow, externalized, public manifestations. The purpose of art is not the release of a momentary ejection of adrenalin but is, rather, the gradual, lifelong construction of a state of wonder and serenity."(Glenn Gould)

Schrodinger's Perspective of the World


I put together a series of quotations by Schrodinger concerning many different aspects of life. I added some commentaries or explained some unfamiliar concepts.

"It seems plain and self-evident, yet it needs to be said: the isolated knowledge obtained by a group of specialists in a narrow field has in itself no value whatsoever, but only in its synthesis with all the rest of knowledge and only inasmuch as it really contributes in this synthesis toward answering the demand, "Who are we?"

"You may ask — you are bound to ask me now: What, then, is in your opinion the value of natural science? I answer: Its scope, aim and value is the same as that of any other branch of human knowledge. Nay, none of them alone, only the union of all of them, has any scope or value at all, and that is simply enough described: it is to obey the command of the Delphic deity: gnothi seauton... get to know yourself!"

"I am very astonished that the scientific picture of the real world around me is deficient. It gives a lot of factual information, puts all our experience in a magnificently consistent order, but it is ghastly silent about all and sundry that is really near to our heart, that really matters to us. It cannot tell us a word about red and blue, bitter and sweet, physical pain and physical delight; it knows nothing of beautiful and ugly, good or bad, God and eternity. Science sometimes pretends to answer questions in these domains, but the answers are very often so silly that we are not inclined to take them seriously."

"Nirvana is a state of pure blissful knowledge... It has nothing to do with the individual. The ego or its separation is an illusion. Indeed in a certain sense two "I"'s are identical namely when one disregards all special contents — their Karma. The goal of man is to preserve his Karma and to develop it further... when man dies his Karma lives and creates for itself another carrier." (1918)

In Hinduism, Maya is to be seen through, like an epiphany, in order to achieve the liberation of the soul from the cycle of samsara (the cycle of birth, death and rebirth). Ego-consciousness and karma are seen as part of the binding forces of Maya. Maya is the phenomenal Universe of perceived duality, a lesser reality-lens superimposed on the unity of Brahman (the unchanging, infinite, immanent, and transcendent reality which is the Divine Ground of all matter, energy, time, space, being, and everything beyond in this Universe). The sanskaras (imprints left on the subconscious mind by experience in this or previous lives) of perceived duality perpetuate samsara.

"God knows I am no friend of probability theory, I have hated it from the first moment when our dear friend Max Born gave it birth. For it could be seen how easy and simple it made everything, in principle, everything ironed and the true problems concealed. Everybody must jump on the bandwagon. And actually not a year passed before it became an official credo, and it still is." (1946)

"I insist upon the view that 'all is waves'"

"The multiplicity is only apparent. This is the doctrine of the Upanishads. And not of the Upanishads only. The mystical experience of the union with God regularly leads to this view, unless strong prejudices stand in the West(...) in truth, there is only one mind..."

"Consciousness is never experienced in the plural, only in the singular. Not only has none of us ever experienced more than one consciousness, but there is also no trace of circumstantial evidence of this ever happening anywhere in the world. If I say that there cannot be more than one consciousness in the same mind, this seems a blunt tautology — we are quite unable to imagine the contrary..."

"In itself, the insight is not new. The earliest records, to my knowledge, date back some 2500 years or more... the recognition ATMAN = BRAHMAN (the personal self equals the omnipresent, all-comprehending eternal self) was in Indian thought considered, far from being blasphemous, to represent the quintessence of deepest insight into the happenings of the world. The striving of all the scholars of Vedanta was after having learnt to pronounce with their lips, really assimilate in their minds this grandest of all thoughts. Again, the mystics of many centuries, independently, yet in perfect harmony with each other (somewhat like the particles in an ideal gas) have described, each of them, the unique experience of his or her life in terms that can be condensed in the phrase: DEUS FACTUS SUM (I have become God). To Western ideology, the thought has remained a stranger... in spite of those true lovers who, as they look into each other's eyes, become aware that their thought and their joy are numerically one, not merely similar or identical..."

"The plurality that we perceive is only an appearance; it is not real. Vedantic philosophy... has sought to clarify it by a number of analogies, one of the most attractive being the many-faceted crystal which, while showing hundreds of little pictures of what is in reality a single existent object, does not really multiply that object..."

"Inconceiveable as it seems to ordinary reason, you — and all other conscious beings as such — are all in all."

"Knowledge, feeling, and choice are essentially eternal and unchangeable and numerically one in all men, nay in all sensitive beings. But not in this sense — that you are a part, a piece, of an eternal, infinite being, an aspect or modification of it... For we should then have the same baffling question: which part, which aspect are you? what, objectively, differentiates it from the others? No, but, inconceivable as it seems to ordinary reason, you — and all other conscious beings as such — are all in all. Hence, this life of yours... is, in a certain sense, the whole... This, as we know, is what the Brahmins express in that sacred, mystic formula... 'Tat tvam asi' — this is you. Or, again, in such words as 'I am in the east and in the west, I am below and above, I am this whole world. Thus you can throw yourself flat on the ground, stretched out upon Mother Earth, with certain conviction that you are one with her and she with you ... For eternally and always there is only now, one and the same now; the present is the only thing that has no end."

"Science cannot tell us a word about why music delights us, of why and how an old song can move us to tears."

"The observing mind is not a physical system, it cannot interact with any physical system. And it might be better to reserve the term "subject" for the observing mind. ... For the subject, if anything, is the thing that senses and thinks. Sensations and thoughts do not belong to the "world of energy."

"The scientific world-picture vouchsafes a very complete understanding of all that happens — it makes it just a little too understandable. It allows you to imagine the total display as that of a mechanical clockwork which, for all that science knows, could go on just the same as it does, without there being consciousness, will, endeavor, pain and delight and responsibility connected with it — though they actually are. And the reason for this disconcerting situation is just this: that for the purpose of constructing the picture of the external world, we have used the greatly simplifying device of cutting our own personality out, removing it; hence it is gone, it has evaporated, it is ostensibly not needed."

"In particular, and most importantly, this is the reason why the scientific worldview contains of itself no ethical values, no esthetical values, not a word about our own ultimate scope or destination, and no God, if you please. Whence came I and whither go I?"

"There is obviously only one alternative, namely the unification of minds or consciousnesses. Their multiplicity is only apparent, in truth there is only one mind."

"The sensation of colour cannot be accounted for by the physicist's objective picture of light-waves."

"This life of yours which you are living is not merely a piece of this entire existence, but in a certain sense the whole; only this whole is not so constituted that it can be surveyed in one single glance. Vedanta teaches that consciousness is singular, all happenings are played out in one universal consciousness and there is no multiplicity of selves. This, as we know, is what the Brahmins express in that sacred, mystic formula which is yet really so simple and so clear; tat tvam asi, this is you. Or, again, in such words as "I am in the east and the west, I am above and below, I am this entire world."

"There is no kind of framework within which we can find consciousness in the plural; this is simply something we construct because of the temporal plurality of individuals, but it is a false construction... The only solution to this conflict insofar as any is available to us at all lies in the ancient wisdom of the Upanishad."

sexta-feira, 19 de fevereiro de 2010

Riemann's Hypothesis




Einstein once said “Pure mathematics is, in its way, the poetry of logical ideas.”

I am not a mathematician but I have a deep love for it.

There is a famous open hypothesis in mathematics that's called "Riemann's Hypothesis".

Riemann observed that the frequency of prime numbers is related to the behavior of the function ζ(s) called the Riemann Zeta function. He then suggested that all interesting solutions (excluding the trivial zeros -2,4,...) of the equation ζ(s) = 0 lie on a certain vertical straight line on the complex plane.

You can see this clearly in the picture (where t runs from 0 to 34).

This beautiful connection between the distribution of prime numbers and the roots of an equation in the complex plane is nothing short of amazing.

Bach


If you look for Bach in Wikipedia or any good modern encyclopedia, you'll get something like:

"German composer, organist, violist, and violinist whose ecclesiastical and secular works for choir, orchestra, and solo instruments drew together the strands of the Baroque period and brought it to its ultimate maturity (...) unrivalled control of harmonic and motivic organisation, and the adaptation of rhythms, forms and textures from abroad, particularly from Italy and France (...) Revered for their intellectual depth, technical command and artistic beauty, Bach's works include etc (...) He is now regarded as the supreme composer of the Baroque, and as one of the greatest of all time...

Ok, fine, agreed. But I think Pablo Casals (listen to the link I put below) summarizes it in one sentences:

“To strip human nature until its divine attributes are made clear, to inform ordinary activities with spiritual fervor, to give wings of eternity to that which is most ephemeral; to make divine things human and human things divine; such is Bach, the greatest and purest moment in music of all time.”

http://www.youtube.com/watch?v=VhcjeZ3o5us

Quantum Mechanics Duality


It's 2:33 in the morning. I am studying the Zeeman Effect.

That's all I want to say.

BTW, very funny picture.

Glenn Gould: Genius or... Genius?



He was one of the most original artists of all time. He was absurdly eccentric, slightly nuts but nevertheless a major musical genius.

The famous conductor George Szell remarked to his assistant, "That nut's a genius."

For those who haven't heard GG: do not waste one more second! This is a life changing experience!

i) This is a BEAUTIFUL compilations of quotes and images of Glenn Gould:

http://www.youtube.com/watch?v=I1VODv_nqcA

ii) I also selected some of his performances. Trust me (even if you do not know me!): Take one hour of your life and change the rest of it.

http://www.youtube.com/watch?v=AVODxskoHFQ

http://www.youtube.com/watch?v=CAsP8tBlU9k

http://video.google.com/videoplay?docid=-6984208089899995423&ei=QXl_S-SjE5aClge3-cnPBw&q=glenn+gould+goldberg+variations#

Da Vinci



"In the normal course of events many men and women are born with remarkable talents; but occasionally, in a way that transcends nature, a single person is marvellously endowed by Heaven with beauty, grace and talent in such abundance that he leaves other men far behind, all his actions seem inspired and indeed everything he does clearly comes from God rather than from human skill. Everyone acknowledged that this was true of Leonardo da Vinci, an artist of outstanding physical beauty, who displayed infinite grace in everything that he did and who cultivated his genius so brilliantly that all problems he studied he solved with ease."(Giorgio Vasari)

Picasso





"Inspiration exists, but it has to find us working."

"Everything you can imagine is real."

"I do not seek. I find."


(Picasso)

Bacon


"For also knowledge itself is power."(Francis Bacon)

Free Thinkers: Nietzsche


"In the face of a world of “modern ideas," which would like to confine every one in a corner, in a “specialty,” a philosopher, if there could be philosophers nowadays, would be compelled to place the greatness of man, the conception of “greatness,” precisely in his comprehensiveness and multifariousness, in his all-roundness, he would even determine worth and rank according to the amount and variety of that which a man could bear and take upon himself, according to the EXTENT to which a man could stretch his responsibility"

"The dangers for a philosopher's development are indeed so manifold today that one may doubt whether this fruit can still ripen at all. The scope and the tower-building of the sciences has grown to be enormous, and with this also the probability that the philosopher grows weary while still learning or allows himself to be detained somewhere to become a "specialist" -- so he never attains his proper level, the height for a comprehensive look, for looking around, for looking down. Or he attains it too late, when his best time and strength are spent -- or impaired, coarsened, degenerated, so his view, his over-all value judgment does not mean much any more. It may be precisely the sensitivity of his intellectual conscience that leads him to delay somewhere along the way and to be late: he is afraid of the seduction to become a dilettante, a millipede, an insect with a thousand antennae; he knows too well that whoever has lost his self-respect cannot command or lead in the realm of knowledge..."

"Add to this, by way of once more doubling the difficulties for a philosopher, that he demands of himself a judgment, a Yes or No, not about the sciences but about life and the value of life -- that he is reluctant to come to believe that he has a right, or even a duty, to such a judgment, and must seek his way to this right and faith only from the most comprehensive -- perhaps most disturbing and destructive -- experiences, and frequently hesitates, doubts, and lapses into science."

"One must be skilled in living on mountains—seeing the wretched ephemeral babble of politics and national self-seeking beneath oneself. One must have become indifferent; one must never ask if the truth is useful or if it may prove our undoing ... The predilection of strength for questions for which no one today has the courage; the courage for the forbidden; the predestination to the labyrinth. An experience of seven solitudes. New ears for new music. New eyes for what is most distant. A new conscience for truths that have so far remained mute. And the will to the economy of the great style: keeping our strength, our enthusiasm in harness ... Reverence for oneself; love of oneself; unconditional freedom before oneself..."

sexta-feira, 12 de fevereiro de 2010

Spinoza Intellectual Love of God


"After experience had taught me that all things which are ordinarily encountered in common life are vain and futile, and when I saw that all things which occasioned me any anxiety or fear had in themselves nothing of good or evil, except in so far as the mind was moved by them; I at length determined to inquire if there were anything which was a true good capable of imparting itself, by which the mind could be solely affected to the exclusion of all else; whether, indeed, anything existed by whose discovery and acquisition I might be put in possession of a joy continuous and supreme to all eternity."

"We do not have an absolute power to adapt things outside us to our use. Nevertheless, we shall bear calmly those things that happen to us contrary to what the principle of our advantage demands, if we are conscious that we have done our duty, that the power we have could not have extended itself to the point where we could have avoided those things, and that we are a part of the whole of nature, whose order we follow. If we understand this clearly and distinctly, that part of us which is defined by understanding, i.e., the better part of us, will be entirely satisfied with this, and will strive to persevere in that satisfaction. For insofar as we understand, we can want nothing except what is necessary, nor absolutely be satisfied with anything except what is true."

(Spinoza)

quinta-feira, 11 de fevereiro de 2010

Pursuit of Truth


"Truth is the offspring of silence and unbroken meditation." (Isaac Newton)

The pursuit of truth is by far the greatest human endeavor. But what IS truth? What's is the real meaning of such small but extremely powerful word? Are we going to be able to find its meaning if we search long enough? Are these questions impossible to be answered? Probably! But nevertheless, the process itself is more than worth it. In my humble attempt to understand the intricacies of nature I have found some wonderful things, some of them unimaginably beautiful.

Difficult Questions


Questions:

i) Do human beings only pose problems they can eventually solve?
ii) What is the difference between small objects (particles) and large objects (galaxies)? Is "smaller" and "larger" logical relation with respect to us, poor, ordinary humans?
iii) Are entities really separate or everything is just ONE interconnected (meaningless in this context!) thing? Is each physical entity "like a brief, disturbed drop of water from an unbounded ocean". Is the real idea that "the goal of enlightment to see intuitively that the distinction between the self and the Universe is a false dichotomy (Maya)?"
iv) Is there an "unreasonable effectiveness of mathematics in the sciences"? Or is it just "derived from experience as a generalization of observed regularities"?
v) How is the world "really" like? Thought experiment: Imagine our eyes only saw radiation on the x-rays part of frequency spectrum.
vi) Is space a physical entity or the only important concept is the relation between entities? In other words, are entangled particles separate "in space" but "inseparate" in the "relational world"?
vii) Is there a purely mathematical reality where probability waves and other things inhabit and there are no physical restrictions but only mathematical ones?