fundamental ratios

  1. There are no big cells.
  2. There are no small animals in the polar regions.
  3. Red wines are kept in small barrels for aging.
  4. Grain dust is explosive but grain is not.
  5. Larger ships are more efficient.

All of these seemingly unrelated phenomena stem from one single principle: As a three dimensional object gets uniformly larger, its volume grows faster than its surface area.

Going back to the listed phenomena:

  1. After a certain size threshold, diffusion of molecules across the membrane can no longer handle the amount of traffic needed to sustain the cell metabolism.
  2. Small animals have more trouble maintaining their body temperature.
  3. Smaller barrels provide greater contact with the wood, allowing the wine to pick up the tannins faster.
  4. Grain dust is smaller, and therefore has relatively more surface area that is available for chemical reactions.
  5. Most of the steel used in the construction of a bulk carrier goes towards building the hull.

felsefi geyik

Tarik: Egemenlik nasil ilk batida bulunmus anlamadim.

Umut: Egemenlik kavrami, sosyal dusuncede ilk kez Jean Bodin denen bir adam tarafindan kullaniliyor. Yoksa bizim egemenlik dedigimiz sey ilk topluluklarda da var yani.

Tarik: Hmm. Entellektuel olarak ilk batida ele alindi diyorsun?

Umut: Evet.

Tarik: Illahi kaleme almak lazim zaten herseyi :) Almazsan unutulup gidiyorsun.

Umut: :) Alsan da unutuluyosun abi, cok istisnai bir sey yazmadiysan eger. O istisnai sey de daha önce kimsenin dile getirmedigi, cok bariz bir gercek oluyor. Ama ilk kavramsallastiran sen olunca "Vaaay buyuk filozof" deniliyor. Zor bir sey ama tabi.

Tarik: Allah'tan dil surekli evrim geciriyor. 10 bin yil sonra belki su anki filozoflari kimse anlayamayacak. "Acaba su kelime ile ne demek istedi?" filan diye carcur edecekler adamlarin dediklerini. Sonra ayni seyleri yeni dillerinde baskalari tekrar kesfedecek. Bu sefer herkes onlari referans vermeye baslayacak...

Umut: :) Evet abi. Felsefenin yarısı o zaten: "Acaba su kavramla ne demek istemis?" Bizim bugün bilmem ne dedigimize adam o zaman ne demis...

Tarik: Evet, icinden cikilmasi zor.

Umut: Aynen. Bundan dolayi felsefede farkli okullar, ogretiler cikiyor zaten ortaya. Sag Hegelci, sol Hegelci... :)

Tarik: Matematikte boyle bir problem yok :) Gayet guzel anliyoruz su an Euclid'in tam olarak ne demek istedigini.

Umut: :) Degil mi ?

Tarik: Isin kotusu, Hegel gibi adamlar gidip bir de en boktan sekilde yaziyorlar dusuncelerini. Yoruma acik hale geliyor hersey. Tam siciyor ortalik.

Umut: Evet :) Ama Hegel'in olayı consistency abi garip bir sekilde. Yani zaten felsefesinin dibinde bu var: Hic bir temel yok, istediğin yerden başlayabilirsin. Sirkuler.

Tarik: Dilin ozu zaten sirkuler... Sozluk mesela sirkuler.

Umut: O da dogru!

Tarik: Dusuncelerini kelimelere doktugun anda siciyor zaten olay, otomatikman. Dokmeyeceksin. Unutulacaksin.

Umut: Wittgenstein'sin :)

Tarik: En erdemli adamlar unutuldu gitti. Boyle hirs yapmis, dunyevi adamlar hatirlaniyor. Hepsi dunyaya bir sey kanitlamaya calisan, sorunlu herifler. "En akilli benim! En dogru benim!"

Umut: Abi, her seyi aciklama hirsi zaten cok manyak bir sey yani :)

Tarik: Evet. Bilimadamlarinda da var bu. Stephen Hawking tam gerizekali mesela.

Umut: O adam resmen paraplegic olmasindan dolayi bu kadar meshur. Avantajina kullaniyor.

Tarik: En son kitabinda o kadar sacmalamis ki. Aklinca metafizige karsi cikiyor. Kendi amator metafizik yapmis. Felsefi duyarliligi sifir adamin. Fizik yapsin, sussun.

Umut: Okumadim :)

Tarik: Ben de okumadim :) Elestirilerini okudum yetti.

Umut: Artık her seyi fizik kurallariyla acikliyoruz demis ama, degil mi?

Tarik: Cok aptal sorulara, aptal cevaplar vermis. Soru: "Why is there anything rather than nothing?" Cevap: "Universe just pops into existence."

Umut: Oha, bu sorunun cevabinin metafiziksel olmaması imkansız zaten.

Tarik: Fiziksel sekilde temellendiriyor cevabini. Quantum vakumlarindan filan bahsediyor herhalde...  Yanlis geyikler yani. Bosver!

Umut: Abi, "Why?" sorusunu bilim nasil cevaplasin ki?

Tarik: "Hiclik" filan sacma kavramlar abi. Evet, cevaplayamaz.

Umut: Ancak "How?" sorusuna cevap verebilir. "Why?" diye sorarsan metafizige girersin.

Tarik: "How?" sorusunu da metafizik yapmadan yoneltemiyorsun. "How" kelimesinden sonra ne diyeceksin? Muhtemelen "How something does something?" gibi bir cumle olacak.

Umut: Oradaki "something"ler de metafizik aslinda, degil mi :)

Tarik: Evet. Birincisi "existential", ikincisi "structural". "Sadece structure yeterli." diyenler cikti simdi. Gene kafa karisikligi! Neyse :)

Umut: Structuralism?

Tarik: Ontic-structuralism! Goruyorsun, nasil da yeni terminoloji uretiyorlar hemen... Kesin biri gecmiste baska bir sekilde ayni konuya deginmistir.

Umut: Tabii ki abi :) Antik Yunan'da bile bahseden olmustur, eminim.

Tarik: Muhtemelen. Sorun su abi. Metafor repertuarimiz genislemiyor hic bir zaman.

Umut: Conceptual framework'ler degisiyor.

Tarik: Hala insaniz sonucta. Sempanzelerle az cok ayni beyne sahibiz. Yazili tarih icerisinde pek bir gelisme olmadi. Explanation is deep down always metaphorical: "Something is like something."

Umut: O da sirkuler.

Tarik: Evet, mecburen. O yuzden zaten "Why?" sorusuna hic bir zaman cevap veremiyorsun. Insaniz abi. Bir parcasi oldugumuz oyunla ilgili ne kadar sey ogrenebiliriz ki? Oyun dedim bak... O da metafor!

Umut: Pek fazla degil.

Tarik: Politik felsefe filan bu yuzden guzel iste. Kendi yarattigimiz lavuk seyleri tartisiyoruz. Bir yerlere varma sansimiz daha yuksek.

Umut: Aynen :) Etik de oyle. Artefact tartisiyorsun sonucta.

Tarik: Bu arada su olaganustu bir deney: "Then there is neuroscientist Antonio Damasio work. In Descartes Error he described a study subject whose prefrontal cortex –where we do conscious thinking and deciding – could not communicate with his limbic system – the area of the brain associated with feelings and affect. This man could not make any choices or behave rationally, because the facts had no valence. Without input on how the facts felt, they literally had no meaning." Bayagi bir felsefi geyigi cope atiyor.

Umut: :)

Tarik: Bir bu sekilde rasyonalismin agzina sicmak var, bir de postmodernist (kendi kendiyle celisen) geyiklerle agzina sicmak var...

Umut: Abi duz rasyonalist pek kalmadı gibi ya.

Tarik: Kalmadi da, duygulardan bahseden de yok epistemolojide. Takmislar empiricisme. Gorsel dusunuyorlar cunku... Neyse. O study subject'in yerinde olmadigimiz icin bilemeyecegiz tam olarak nasil bir durum.

Umut: Evet. Duygulardan eskiden daha cok bahsediliyordu. Hume filan deginiyor...

anomalous spaces

Some people think that infinite dimensional spaces are weird. That is plain wrong! Such spaces emerge as a natural setting for the rings of polynomials. Who can dare to claim that polynomials, one of the first algebraic inventions of the human mind, are weird?

It is actually the lower dimensional spaces that are truly anomalous. As opposed to their higher dimensional analogues they can be visualized!

We are the source of all anomalies in mathematics. This is a profound observation and its counterpart in physics was the source of several intellectual revolutions. For instance, why are symmetry principles so prevalent and powerful in physics? The answer is very simple: They remove the effects of our own existence and help us move one step closer to the impossible dream of an observer-independent description of the reality.

cultural epistemology

What passes as an explanation has a cultural dimension to it. This is true even for science. For example, before Newton, action-at-a-distance was perceived as magic. Then eventually people got used to it and started to accept it as a final explanation. This cultural adaptation took place despite the fact that Newton himself was very uncomfortable with the notion:

"It is inconceivable that inanimate brute matter should, without the mediation of something else which is not material, operate upon and affect other matter without mutual contact…That gravity should be innate, inherent, and essential to matter, so that one body may act upon another at a distance through a vacuum, without the mediation of anything else, by and through which their action and force may be conveyed from one to another, is to me so great an absurdity that I believe no man who has in philosophical matters a competent faculty of thinking can ever fall into it." (Source)

memetic originality

Ideas have a life of their own, and are subject to the same evolutionary dynamics that govern biological systems. The current state of development together with the current environmental context determines more or less what the next stage of development will be. Our most original ideas are either juxtapositions of some old material, or reactionary moves taken against some environmental changes.

Even if the next step is not obvious from our local point of view, it always is so from the global point of view. The society as a whole will sooner or later give birth to the next new idea. It may be impossible to predict its author, but so what? That is not a societal concern.

As Victor Hugo said, "there is nothing more powerful than an idea whose time has come." All we have to do is to open our mouth or grab a pen.

Every once in a while a particular species will evolve too fast for its own good. Anticipating and adopting the far future can be a costly activity. Authors that are too out-of-sync with the general flow of ideas will be doomed to oblivion until the time for their products finally arrive.

poker face

A poker player has two ideal options:

1) Sit perfectly still. Be non-responsive and maintain a blank expression.

2) Randomize. Respond erratically so that the opponent can not pick up any reliable indicators.

The problem with the second approach is two folds:

1) It is energy intensive in comparison to the first approach.

2) Human beings often detect spurious patterns in randomly generated data. (This phenomenon is called Pareidolia.) Your opponent may devise a strategy based on his interpretation of your random moves. It will be very difficult for you to unravel this strategy and respond in a cogent way.

Update (July 2012): In finance, most people fall prey to Pareidolia, including those "sober-thinking", contrarian traders:  "For bubble and anti-bubble thinking are both wrong because they hold the truth is social. But if the herd isn’t thinking at all, being contrarian—doing the opposite of the herd—is just as random and useless." (From Blake Masters' notes on Peter Thiel's course at Stanford University)

top down vs. bottom up

At any moment in time, there is always more than one scientific theory that can explain the available data. How one formalism is preferred over another one depends on historical factors (e.g. physicists avoiding models that employ mathematics that they are not familiar with), on sociological factors (e.g. one theorist being a lot more famous than the other), on metaphysical criteria (e.g. Occam's Razor), or on aesthetic criteria (e.g. one model being more beautiful than the other). Because of this state of affairs, it is said that scientific theories are, by their very nature, under-determined.

Here the term "under-determined" can be confusing. Scientific theories are under-determined from the point of view of nature. (A theory is never specific enough to be the only possible explanation that does not contradict the available data.) However they are over-determined from the point of view of available evidence. Not only do they make predictions about the future dynamics of the examined phenomenon, they also predict the existence of unrelated phenomena. Predictions of the second type are not supported per se by any current data. (This is the sort of stuff that lends credulity and prestige to a new model: Prediction and subsequent confirmation of entirely new and uninvestigated phenomena.)

There are two types of models:

1) Top-down ones that contain certain universal principles putting constraints on what can possibly take place. (Examples: Thermodynamics, General Relativity).

2) Bottom-up ones that start out with a theory about what the constituents of the reality are and define how they interact in ensembles to generate the phenomenon that our experiments can detect. (Examples: Newtonian Mechanics, Standard Model)

The top-down models are more under-determined in the sense that they do not uniquely explain everything. They just constrain the number of theories that can do the job. Depending on the nature of the principles involved, they can be more or less over-determined in the other sense of the term. (The principle postulating the finiteness of speed of light makes just a single prediction, namely the principle itself. On the other hand, the second principle of thermodynamics makes many simultaneous predictions.) In any case, compared with bottom-up models, they are less likely to be rendered obsolete due to unnecessary metaphysical assumptions with regards to the constituents of reality.

Two speculative remarks:

1) Just as science emerges from the interplay of bottom-up and top-down models, mathematics emerges from the interplay of set theory and category theory. Think of science and mathematics as sandwiches. The top and bottom buns are respectively the top-down and bottom-up approaches. In the case of science, in between lies the physical universe. In the case of mathematics, in between lies the mathematical universe.

2) The list of alternative foundations for mathematics has been exhausted. Structures can be examined and characterized inside-out or outside-in. There exists no other possible approach.

failure of holism

Despite its philosophical appeal, holism has produced little or nothing of practical value. It has resulted in the development of some conceptually interesting mathematical frameworks (e.g. Chaos Theory), and some deep metaphysical principles (e.g. those of Buddhism). On the other hand, it has also laid the foundations of the Post-Modernist movement (e.g. the belief that truth is context dependent etc), and in some circles even led to the rise of an anti-scientist sentiment.

peptic ulcer

If I am still alive today, I owe a thanks to an extraordinary scientist who continued to stand up for his opinion despite being alienated and ridiculed by his peers. Peptic ulcer used to be thought of as a complicated psychosomatic disease that is caused by certain types of life styles and high levels of stress. When Barry Marshall claimed that ulcer was in fact just a bacterial disease, no scientist in his right mind could believe him. After all, how could any bacteria survive in the highly acidic environment of the stomach? In order to prove his theory beyond any doubt, this courageous man drank a beaker of helicobacter pylori culture and fell violently ill. He subsequently cured himself using antibiotics, and later was awarded a Nobel Price for his discovery that saved millions of people from extreme discomfort and death.

time perception

Memory, consciousness and time. These three fundamental concepts are interrelated in a fascinating way... Here are three different extracts containing the same exact observation.

We begin with a couple of simple queries about familiar phenomena: “Why do babies not remember events that happen to them?” and “Why does each new year seem to pass faster than the one before?”

I wouldn’t swear that I have the final answer to either one of these queries, but I do have a hunch, and I will here speculate on the basis of that hunch. And thus: the answer to both is basically the same, I would argue, and it has to do with the relentless, lifelong process of chunking — taking “small” concepts and putting them together into bigger and bigger ones, thus recursively building up a giant repertoire of concepts in the mind.

How, then, might chunking provide the clue to these riddles? Well, babies’ concepts are simply too small. They have no way of framing entire events whatsoever in terms of their novice concepts. It is as if babies were looking at life through a randomly drifting keyhole, and at each moment could make out only the most local aspects of scenes before them. It would be hopeless to try to figure out how a whole room is organized, for instance, given just a keyhole view, even a randomly drifting keyhole view.

Or, to trot out another analogy, life is like a chess game, and babies are like beginners looking at a complex scene on a board, not having the faintest idea how to organize it into higher-level structures. As has been well known for decades, experienced chess players chunk the setup of pieces on the board nearly instantaneously into small dynamic groupings defined by their strategic meanings, and thanks to this automatic, intuitive chunking, they can make good moves nearly instantaneously and also can remember complex chess situations for very long times.

Hofstadter - Analogy as the Core of Cognition

 

But why do people often remember more from their youth than from their more recent past? Shouldn't our oldest memories be the most faded, and our newer ones be fresher and more numerous? The well-documented reminiscence effect mentioned earlier explains why it is just the other way around: In our younger years, the brain commits more impressions to memory, and these earliest memories are less likely to be forgotten in later years. If the memory survives the test of time for the first few years, it is usually indelible, which is why even eighty-year-olds can talk about their youth as though it were yesterday.

We have every reason to recall the experiences of our younger years, when the world was an open book. Never again would we experience so much change. But the first kiss happens only once in a lifetime. The more knowledge of the world we acquires, the fewer new memories are retained in our memory - it would be a waste of brain capacity to remember slight variations on a familiar theme. But the fewer memories we have retained from a period, the shorter that period seems in retrospect. The ongoing acceleration of years as we grow older is a price we pay for learning.

Klein - Time: A User's Guide (Pages 142-143)

 

Almost all of the 100 billion neurons in a human being’s nervous system are in place at birth, and in early childhood the synapses—the points of contact between neurons that fire memory and sensation—are vastly overproduced. To a large extent, maturity is a neural pruning process, an uncluttering of consciousness so that what is most useful for getting through a day—driving to work, for instance, or negotiating the supermarket—is readily, and unconsciously, available. Our lives are far more organized around repetition than novelty. Less useful neurons weaken and die, a form of forgetting.

Gopnik reminds us that, to accommodate their rapidly shifting attention, babies’ brains generate enormous amounts of cholinergic neurotransmitters, which are released to different parts of the brain as they process specific information. For anesthetics to be effective they must act on these transmitters, which may explain the relatively high concentration of anesthesia babies require to be knocked out before surgery. Gopnik offers the captivating idea that children are more conscious than adults but also less unconscious, because they have fewer automatic behaviors.

Greenberg - What Babies Know and We Don’t