sábado, 27 de junio de 2009

The Holographic Principle and M-theory

Man ponders shadow, or shadow ponders itself?


To them, I said, the truth would be literally nothing but the shadows of the images.
-Plato, The Republic (Book VII)



Holography Through the Ages

Plato, the great Greek philosopher, wrote a series of `Dialogues' which summarized many of the things which he had learned from his teacher, who was the philosopher Socrates. One of the most famous of these subjects of his dialogues is The Allegory of the Cave, used by Plato in his work The Republic to illustrate "our nature in its education and want of education".

In this allegory, people are chained in a cave so that they can only see the shadows which are cast on the walls of the cave by a fire. To these people, the shadows represent the totality of their existence - it is impossible for them to imagine a reality which consists of anything other than the fuzzy shadows on the wall.
However, some prisoners may escape from the cave; they may go out into the light of the sun and behold true reality. When they try to go back into the cave and tell the other captives the truth, they are mocked as madmen.
Of course, to Plato this story was just meant to symbolize mankind's struggle to reach enlightenment and understanding through reasoning and open-mindedness. We are all initially prisoners and the tangible world is our cave. Just as some prisoners may escape out into the sun, so may some people amass knowledge and ascend into the light of true reality.
What is equally interesting is the literal interpretation of Plato's tale: The idea that reality could be represented completely as `shadows' on the walls.


The Holographic Principle and Modern Physics
http://en.wikipedia.org/wiki/Holographic_principle

In 1993 the famous Dutch theoretical physicist G. 't Hooft put forward a bold proposal which is reminiscent of Plato's Allegory of the Cave. This proposal, which is known as the Holographic Principle, consists of two basic assertions:

Assertion 1 The first assertion of the Holographic Principle is that all of the information contained in some region of space can be represented as a `Hologram' - a theory which `lives' on the boundary of that region. For example, if the region of space in question is the DAMTP Tearoom, then the holographic principle asserts that all of the physics which takes place in the DAMTP Tearoom can be represented by a theory which is defined on the walls of the Tearoom.

Assertion 2 The second assertion of the Holographic Principle is that the theory on the boundary of the region of space in question should contain at most one degree of freedom per Planck area.

A Planck area is the area enclosed by a little square which has side length equal to the Planck length, a basic unit of length which is usually denoted Lp. The Planck length is a fundamental unit of length, because it is the parameter with the dimensions of length which can be constructed out of the basic constants G (Newton's constant for the strength of gravitational interactions), (Planck's constant from quantum mechanics), and c (the speed of light). A quick calculation reveals that Lp is very small indeed:

Lp = 1.6 x 10^-33 centimeters

To many people, the Holographic Principle seems strange and counterintuitive: How could all of the physics which takes place in a given room be equivalent to some physics defined on the walls of the room? Could all of the information contained in your body actually be represented by your shadow?
In fact, the way in which the Holographic Principle appears in M-theory is much more subtle. In M-theory we are the shadows on the wall. The "room" is some larger, five-dimensional spacetime and our four-dimensional world is just the boundary of this larger space. If we try to move away from the wall, we are moving into an extra dimension of space - a fifth dimension. In fact, people have recently been trying to think of ways in which we might actually experimentally `probe' this fifth dimension.

At the heart of many of these exciting ideas is a version of the Holographic Principle known as the adS/CFT correspondence.

M-theory and the adS/CFT correspondence

The adS/CFT correspondence is a type of duality, which states that two apparently distinct physical theories are actually equivalent. On one side of this duality is the physics of gravity in a spacetime known as anti-de Sitter space (adS). Five-dimensional anti-de Sitter space has a boundary which is four-dimensional, and in a certain limit looks like flat spacetime with one time and three space directions. The adS/CFT correspondence states that the physics of gravity in five-dimensional anti-de Sitter space, is equivalent to a certain supersymmetric Yang-Mills theory which is defined on the boundary of adS. This Yang-Mills theory is thus a `hologram' of the physics which is happening in five dimensions. The Yang-Mills theory has gauge group SU(N), where N is very large, and it is said to be `supersymmetric' because it has a symmetry which allows you to exchange bosons and fermions. The hope is that this theory will eventually teach us something about QCD (quantum chromodynamics), which is a gauge theory with gauge group SU(3). QCD describes interactions between quarks. However, QCD has much less symmetry than the theory defined on the boundary of adS; for example, QCD has no supersymmetry. Furthermore, physicists still don't know how to incorporate a crucial property of QCD, known as asymptotic freedom.

Here in DAMTP, physicists have been working to see if the adS/CFT correspondence can be generalized. Working with collaborators in such far-flung places as the United States, Canada, and Durham, they have managed to show that the duality is still true even when you replace adS with more complicated five-dimensional spacetimes. In particular, they have calculated what happens when you put electric charge in adS, or rotation in adS, or even what happens when you put a certain exotic charge known as `NUT-charge' into adS.

Lecture, The World as a Holograph
http://www.youtube.com/watch?v=GHgi6E1ECgo





sábado, 20 de septiembre de 2008

Right Understanding

Right understanding means to see things as they really are. Understanding the true about things rather than simply seeing them as they appear to be.

When we attempt to aquire right understanding on a given situation, we see that we begin with an objective observation of a situation and of ourselves.
We join objective observation with enquiry, examining and considering the given situation.

Seeing things as they are can mean seeing things as impermanent, as dependently originated, as non self, as impersonal, as seeing the fourth noble truths.

Right understanding leads to an analytical way of seeing things as they really are, for example in the case of the cause of suffering.

Buddhism states that the cause of suffering is caused by desire, ill-will and ignorance.
Among those the main cause is ignorance, because it is due to ignorance that desire and ill-will arise.

Essentially, in the buddhist view, ignorance is the idea of a permanent, independent self. It is this conception of an "I" opposed and separate from the people and things around us. Once we have the notion of an "I", we have an inclination to favour those things that sustain this "I" and to be averse to those things that we think threaten this "I". It is this conception of the self that is the fundamental cause of suffering, the root of the various negative emotions - desire, anger, ill-will, envy, greed and jealousy. It is ignorant of the fact that the so-called "I", the self, is just a convenient name for a collection of ever-changing, dependent, contingent factors. Is there a forest apart from the trees? The self is just a convenient name for a collection of processes. The self is a cause of suffering and fear. In this context the self is likened to mistaking a rope for a snake in the semi-darkness. If we come upon a rope in the darkness, we may assume the rope is in fact a snake and this assumption is a cause of fear. Similarly, in ignorance we take the impersonal, impermanent processes of feelings, perceptions, and so forth to be a self, and as a result we respond to situations with hope and fear. We desire certain things, we are averse to others. We are fond of certain people, we dislike others. So ignorance in this sense is the mistaken notion of a permanent ego, of a real self.

miércoles, 12 de septiembre de 2007

Platonic View of Happiness

On Happiness

In the Greek philosophy, the conception of happiness was disputed. The Greek philosopher tended to inquire about happiness and his real meaning for man.What is happiness? What are its constituents? What are the causes and conditions of happiness? How, if at all, does it differ from pleasure? What are its relations to man's intellect, to his will, to his life as a whole? What is its position in a general theory of the universe?
These are questions which have much occupied the various schools of philosophy.
The Greeks deemed the concept of happiness as an issue that had to do with psychology and ethics. They commonly identified happiness with the common good of men. Dismissing the view that happiness was a lot arbitrarily bestowed by capricious Fortune, the more serious thinkers among the Greeks regarded it as a gift of the gods. Further reflection led to the view that it was given as a reward for goodness of life. Hence the acquisition of happiness depends on the working out of the good for man in man's life. What then is the good?

For Socrates it is (eupraxia), which receives closer definition at the hands of Plato, as such harmonious functioning of the parts of man s soul as shall preserve the subordination of the lower to the higher, of the non rational to the rational. In this view happiness becomes for Plato less the reward than the inevitable concomitant of such harmony. It is the property of the whole soul, and the demand of any element of the soul for preferential treatment in the matter of happiness Plato would thus look upon as unreasonable. In setting happiness as the intrinsic result of a policy of "following nature", the Stoics and the Cyrenaics were in verbal agreement with Plato, though diverging to opposite poles in their answer to the psychological question as to the constituents of happiness. "Follow Nature", for the Cyrenaics, meant: "Gratify the sensuous faculties which are the voices of nature." For the Stoics it signified: "Satisfy your reason which nature bids us to exalt by the entire suppression of our sensuous appetites." Happiness is for these latter the consequence of the virtuous life which issues in spiritual freedom and peace. In Aristotle's ethical system, happiness, as expressed by (eudaimonia), is the central idea. He agrees with Plato in rejecting the exaggerated opposition set up between reason and nature by the Sophists, and fundamental to both the Stoic and Epicurean schools.
For Aristotle, nature is human nature as a whole. This is both rational and sensuous. His treatment of happiness is in closer contact with experience than that of Plato. The good with which he concerns himself is that which it is possible for man to reach in this life. This highest good is happiness. This must be the true purpose of life, for we seek it in all our actions. However it dosent consist in mere passive enjoyment, for this is open to the brute, but in action (energeia), of the kind that is proper to man in contrast with other animals. This is intellectual action. Not all kinds of intellectual action, however, result in happiness, but only virtuous action, that is, action which springs from virtue and is according to its laws; for this alone is appropriate to the nature of man. The highest happiness corresponds to the highest virtue; it is the best activity of the highest faculty. Though happiness does not consist in pleasure, it does not exclude pleasure. On the contrary, the highest form of pleasure is the outcome of virtuous action. But for such happiness to be complete it should be continued during a life of average length in at least moderately comfortable circumstances, and enriched by intercourse with friends and society. Due to the fact that human beings are social animals just as Aristotle refered to them.

Virtues are either ethical or dianoetic (intellectual). The latter pertain either to the practical or to the speculative reason. This last is the highest faculty of all; hence the highest virtue is a habit of the speculative reason. Consequently, for Aristotle the highest happiness is to be found not in the ethical virtues of the active life, but in the contemplative or philosophic life of speculation, in which the dianoetic virtues of understanding, science, and wisdom are exercised. Theoria, or pure speculation, is the highest activity of man, and that by which he is most like unto the gods, for in this, too, the happiness of the gods consists. It is, in a sense, a Divine life. Only the few, however, can attain to it; the great majority must be content with the inferior happiness of the active life. Happiness (eudaimonia), therefore with Aristotle, is not identical with pleasure (hedone), or even with the sum of pleasures. It has been described as the kind of well being that consists in well doing, and supreme happiness is thus the well doing of the best faculty. Pleasure is a concomitant or efflorescence of such an activity. Here, then, is in brief Aristotle's ethical theory of eudemonism; and in its main features it has been made the basis of the chief christian scheme of moral philosophy. Constituting happiness the end of human action, and not looking beyond the present life, Aristotle's system, it has been maintained with some show of reason, approximates, after all, in sundry important respects towards Utilitarianism or refined Hedonism.

Afterwards in the times of the roman empire some philosophical and religious movements emerged from countries that were conquered by the romans. And this movements cleaved into the roman culture. Due to the mood of oppression in which this movements were developed, their concept of happiness was not an earthly one but they deemed that the real happiness was in the afterlife. This movements paved the way to a new perspective of happiness as something eternal.
Later on, Christianity adapted some Aristotelian and Platonic features to their own philosophy. In the scholasticism the schoolmen , influncited by the Christian Revelation and taking over some elements from Plato, come to complete the Peripatetic theory. St. Thomas teaches that beatitudo, perfect happiness, is the true supreme, subjective end of man, and is, therefore, open to all men, but is not attainable in this life. It consists in the best exercise of the noblest human faculty, the intellect, on the one object of infinite worth. It is, in fact, the outcome of the immediate possession of God by intellectual contemplation. Scotus and some other Scholastic writers accentuate the importance of the will in the process, and insist on the love resulting from the contemplative activity of the intellect, as a main factor; but it is allowed by all Catholic schools that both faculties play their part in the operation which is to constitute at once man's highest perfection and supreme felicity. "Our heart is ill at ease till it find rest in Thee" was the cry of St. Augustine. Therefore the Christian stance about happiness is linked with theism and the concept of God.

The divorce of philosophy from theology since Descartes has, caused a marked disinclination to recognize the importance in ethical theory of the future life with its rewards and punishments. Consequently, for those philosophers who constitute happiness whether of the individual or of the community the ethical end, the psychological analysis of the constituents of temporal felicity, has become a main problem. In general, such writers identify happiness with pleasure, though some lay considerable stress on the difference between higher and lower pleasures, whilst others emphasize the importance of active, in opposition to passive, pleasures.
The poet Alexander Pope tells us, "Happiness lies in three words: Peace, Health, Content".

Reflection, however, suggests that these are rather the chief negative condition, than the positive constituents of happiness. Paley, although adopting a species of theological Utilitarianism in which the will of God is the rule of morality, and the rewards and punishments of the future life the chief part of the motive for moral conduct, yet has written a celebrated chapter on temporal happiness embodying a considerable amount of shrewd, worldly common sense. He argues that happiness does not consist in the pleasures of sense, whether the coarser, such as eating, or the more refined, such as music, the drama, or sports, for these pall by repetition. Intense delights disappoint and destroy relish for normal pleasures. Nor does happiness consist in exemption from pain, labour, or business; nor in the possession of rank or station, which do not exclude pain and discomfort. The most important point in the conduct of life is, then, to select pleasures that will endure.
Owing to diversity of taste and individual aptitudes, there is necessarily much variety in the objects which produce human happiness. Among the chief are, he argues, the exercise of family and social affections, the activity of our faculties, mental and bodily, in pursuit of some engaging end, that of the next life included, a prudent constitution of our habits and good health, bodily and mental. His conclusion is that the conditions of human happiness are "pretty equally distributed among the different orders of society, and that vice has at all events no advantage over virtue even with respect to this world's happiness".

For Bentham, who is the most consistent among English Hedonists in his treatment of this topic, happiness is the sum of pleasures. Its value is measured by quantity: "Quantity of pleasure being equal, push-pin is as good as poetry." Rejecting all distinctions of higher or lower quality, he formulates these tests of the worth of pleasure as an integral part of happiness: (1) its intensity, (2) duration, (3) propinquity, (4) purity, or freedom from pain, (5) fecundity, (6) range. J. Stuart Mill, whilst defining happiness as "pleasure and absence of pain", and unhappiness as "pain and privation of pleasure", insists as a most important point that "quality must he considered as well as quantity", and some kinds of pleasure are more desirable and valuable than others on grounds other than their pleasantness. "It is better", he urges, "to be a human being dissatisfied than a pig satisfied." This is true; but it is an inconsistent admission fatal to Mill's whole position as a Hedonist, and to the Hedonistic conception of happiness. The aid of the evolutionist hypothesis here as elsewhere was called to the support of the Sensationist school of psychology and ethics. Pleasure must be life-giving, pain the reverse.
The survival of the pleasure fittest to survive will, according to Herbert Spencer, lead to an ultimate well-being not of the individual, but of the social organism; and the perfect health of the organism will be the concomitant of its perfect functioning, that is, of its perfect virtue.
Thus happiness is defined in terms of virtue, but of a virtue which is a mere physical or physiological excellence.
Spencer's critics, however, have been keen to point out that the pleasure of an activity in man is not by any means a safe criterion of its healthiness or conduciveness to enduring well-being.

In the writings of the German Rationalists from Kant onwards we meet echoes of the ancient Stoicism. Usually there is too narrow a view of human nature, and at times an effort to set aside the question of happiness as having no real bearing on ethical problems. Kant is inclined to an over-ready acceptance of the Hedonistic identification of happiness with sensuous pleasure, and for this reason he is opposed to our working for our own happiness whilst he allows us to seek that of others. His rigoristic exclusion of happiness from among the motives for moral action is psychologically as well as ethically unsound, and although "Duty for duty's sake" may be an elevating and ennobling hortatory formula, still the reflective reason of man affirms unequivocally that unless virtue finally results in happiness, that unless it be ultimately happier for the man who observes the moral law than for him who violates it, human existence would be irrational at the very core, and life not worth living. This latter, indeed, is the logical conclusion of Pessimism, which teaches that misery altogether outweighs happiness in the universe as a whole.



Platonic View of Happiness

One of the central claims of Plato’s Republic is that justice is not only desirable for its own sake, but that it maximises the happiness of those who practice it. By practicing justice and ethical principles, in that way, one will be able to be a better person, and a good for the whole society. Plato stressed the fact that being ethically good is the end of every man.

For Plato, the happiness (eudaimonia), is also deemed to be related with adquiring knowledge. in The Allegory of the Cave, he stressed that knowledge is a source of happiness. The Allegory of the Cave was used in The Republic and it depicts how knowledge can enlighten people, in order for them to be more capable human beings. Plato distinguished the twofold meaning of the term pleasure, in his works there is a distinction between the pleasures of the flesh arising from body desires, and the superior pleasures of the intellect.
The descriptions of the pleasure seeking nature of democratic individuals and the just man, who pursues a balanced and harmonious lifestyle, not surrendering himself to ‘savage and unreasoning pleasure shows that Plato’s view was that pursuit of happiness and pleasure for its own sake leads only to injustice and enslavement. This amounts to a clear condemnation of hedonism, and is illustrated by the example of the tyrant who is not only unhappy but is a ‘true slave’ to his own desires.

Plato identified three forms of pleasure that correspond to the three different elements of the soul: Reason, Spirit, and Appetite or Desire . Here, the distinction between pleasures of the intellect and pleasure resulting from the pursuit of desire or honor, victory in war, for example, is clear with the philosopher falling into the first category. In order to fully appreciate what Plato means by eudaimonia, we must instead consider the ways in which it is supposedly achieved: In the dialogue of Plato, Socrates states that everything has both a characteristic function and a virtue or excellence that enables it to perform its function well. He goes on to say that living is the function of the soul, and justice its characteristic excellence, from which it follows that the just man lives well and is therefore happy.
This is a classic piece of Socratic wordplay that relies upon a disputed, question begging premise (justice being the virtue of the soul), two unsubstantiated assumptions, that the soul has both a function and an excellence and equivocation to (live well is the same as to be happy).

A more plausible case for Plato’s thesis can be found in his analysis of the three classes of society and the corresponding types of individual that inhabit his hypothetical ideal state. In accordance with the three forms of pleasure described above, the happiness of each of these classes is said to arise from their characteristic love of wisdom, honor or profit, respectively, which is pursued under the guidance of reason in accordance with Plato’s notion of justice.

The centerpiece of The Republic is undoubtedly the definition of justice as the harmony of the parts of the soul or state in which each part performs its proper function under the command of reason . Injustice, on the other hand is defined as ‘some sort of civil war’ between the parts of the soul, a rebellion in which one rogue element, typically desire, usurps reason as the dominant power. Plato goes on to liken justice to health and injustice to disease. Nevertheless this somewhat begs the question as no rational person would choose to have an unhealthy soul. However, there is more to this argument than first meets the eye. If injustice is the ‘civil war’ of the soul, then justice is characterized by peace and harmony between its elements.
This notion of ‘psychic harmony’ is to the conventional conception of happiness what the Platonic definition of justice is to ordinary justice. it effectively redefines happiness in terms of its internal benefits and characteristics as opposed to its external rewards and actions.
This in turn justifies Plato’s argument that the perfectly just man who nevertheless has a reputation for the greatest injustice and so receives none of its external benefits, may still enjoy the greatest happiness.
No matter what life throws at him, he never loses his inner composure, maintaining peace and tranquility throughout despite his apparently terrible circumstances. Although it is difficult for us to imagine such a person actually existing, Plato had first hand experience of this in the form of Socrates himself, who is said to have maintained perfect composure even in the face of death.

Although the point is not made explicit until Book 9 of The Republic, the idea that true happiness flows from precisely the same arrangement of the soul that produces justice is almost certainly what Plato had in mind. That he does not clarify the matter earlier may be because, having already redefined justice in Book 4, he does not want to open up the argument on a second front by going on to redefining happiness as well, and instead opts for the safer route of equating justice with psychic health, a concept which nevertheless suggests a strong connection with happiness.

The second route to happiness described in The Republic is the pursuit of philosophy, and specifically philosophical contemplation of the Forms. This is held not only to produce the highest type of pleasure (that associated with reason), but also to mould one’s character in the image of what is eternal, beautiful and unchanging.
It is portrayed as a state of such rapture that those who experience it will literally think they have died and gone to heaven.
But what evidence does Plato have to offer for the truth of these claims? We are told that the pleasures of the intellect are superior to the pleasures of desire or spirit on the basis that only those who have tasted all three are qualified to judge.
Since only the philosopher has experience of the Forms then her opinion is the only one that counts and, being a lover of wisdom, of course prefers the philosophical life. This argument is unconvincing on the basis that the judgement appears to be subjectively biased in favour of the philosopher. However, again we are offered a second, more robust argument.
The happiness of the profit loving or honor loving individual arises from the enjoyment of objects that belong to the impermanent physical world of becoming. that which both is and is not. Consequently, their pleasures are relative ones that consist of a mixture of both pain and pleasure, and are therefore (matters of opinion and not of knowledge).

In contrast to this, the philosopher’s pleasure stems from contemplating the eternal and absolute world of ‘being’, or that which ‘is’ , making it different not just in degree but also in kind. According to Plato, only knowledge of ‘being’ can lead to this true and certain pleasure, which is in fact none other than the Platonic Form of happiness.
The form of Happiness by Plato is in its pure or ideal Form is a state of absolute peace, joy and contentment that results from having a perfectly harmonious and balanced soul. This complete absence of inner conflict and turmoil effectively renders the individual immune to all forms of suffering, regardless of their physical circumstances.
Such a state of mind may reliably be obtained in one of two ways. Firstly, by acquiring the virtue of justice, where each part of the soul is performing its proper function under the dominion of reason. Secondly, through the practice of philosophy, which brings the soul into equilibrium through the contemplation of what is eternal, beautiful and good.
Conventional happiness, as with conventional justice, is a mere image or shadow-picture of this Platonic ideal or form that depends upon the pursuit of transient physical pleasures, and so is itself fleeting and unreliable, consisting at best of a temporary respite from pain and suffering.In each case, the important point is that far from depending upon external factors, true happiness arises from within as a result of cultivating the correct state of mind, and cannot be destroyed for as long as the individual continues to maintain their internal balance and harmony, even in the face of great adversity.
The resulting account not only contradicts ancient Greek thought but also more modern theories such as utilitarianism which sees pleasure or happiness as more or less interchangeable, and as an universal good that can be realized in any number of ways.

Dialetic Physis or Nomos ?

Since the begining of Philosophy, the greek philosophers were challenged to attempt to explain the begining of the cosmos, putting aside the myths and the religious traditions of the time, Inasmuch they had the conviction of studying the nature " Physis" , in order to be able to disclose the mayor questions of the mood that was surronding them.

This philosophers were call the presocratic philosophers, inasmuch they preceded Socrates. Inicially the main focus of the presocratic philosophers was to discover the begining of everythingThey divided themselves as Monists and Pluralists.The Monists established that there was one unique substrate and that by phisical processes it changes in order to established the plurality of everything, whereas the Pluralists established that the substrates that made everything were multiple.Among this two, the pluralists were the ones that had the most skeptical point of views toward myths and religious traditions.
The presocratic philosophers established several opinions about the begining "Arche" . Furthermore They defineded the reality as something eternal. Likewise their vision of nature as a "Physis" was that it is utterly ordinated, under the control of natural laws.


Ancient Skepticism

Eventually another kind of philosophers appeared, they were call the "Sophists".The Sophist instead of focusing in the "Physis" focused isntead on the "Polis" or on the problems of society.Their main features were:

-Their Cirtical Actitude toward the institutions that they claimed were founded with false natural laws.
-Their Skepticism about the capacity of the human understanding; They claimed that if it wasent posible to discern with certainty doubt was the only racional stance.
-Their Relativism about the truth and about the moral values.
-Their relied on their education and it the value of the Rethoric and the Dialetic.
-Their humanist worries about the cosmologic stance of the presocratic philosophers.
-They required a payment for their services.


The Main Reasons for their Skepticism

The Sophists used to established that the natural laws were nothing more than mere conventional realitys.
The Sophists were settled in many other citys and were heavily influenciated by other cultures. Eventually they considered that the natural laws werent clear or understandable. They said that the real laws were only the fruit of an understanding between citizens in order to guarantee the mutual values among themselves.
The sophists then had the necesity to distiguish between the real natural laws "Physis" and between the Human laws "Nomos".
Eventually the discussion among Physis and Nomos had an effect of distrust for the conventional traditions of the time, by putting doubts, a lack of trust and of validiy in the natural laws. They didnt assured the welfare or what was right for men.
The Sophists replaced the "natural laws" for the concept of "usefulness". The distrust of what cannot be grasp by the sense, had derivaded a stance of doing what is consider to be useful for men and for the comunity "Polis".
For exmaple:
- A good physician is the one that know enough, in order to cure the ill persons.
- A good politician is the one can presuade the citizens that justice and right things are the are precisily the ones that are usefull for the state.

So their basic stance was to put aside tradicional religious doctrines and myths, in order to focus in everyone being better, usefull and more virtuous; in order to be better and to contribute to the comunity, inasmuch as it will be good and positive to the altogether comunity.


The Relativism and The Skepticism

Two of the most important Sophists were Protagoras and Gorgias.

Protagoras (Πρωταγόρας) was a contemporany of Plato, and Plato wrote one dialogue with his name. He established that: "Man is the measure of all things". This means that nobody can attribute error to others, inasmuch no opinion has more true than another opinion. Nevertheless he states that some opinion can be better than others, only if a mayority decides it.
For example: If someone is convinced that stealing is good, he will consider it as his truth, so long as he keep believing it.To the mayority of people stealing would be considered as something bad, but they shouldnt try to convice him that stealing is false but they should try to convince him that not stealing it is better than stealing. This are the bases of Relativism.

Gorgias (Γοργίας) was a pupil of Empedocles, Nevertheless he had a very radical skeptic stance. We are able to grasp his thoughts and points of views from his three negative thesis:
1.Nothing exists;
2.Even if something exists, nothing can be known about it; and
3.Even if something can be known about it, knowledge about it can't be communicated to others.


Truths or Opinions

People in different cultures have established their own opinions and their own philosophy about the truth taking in account their mood and the culture in which they were raised, likewise was the case of the greek philosophy. Many established their own school with their own doctrines, However a mere “opinion” cannot became a “truth” unless it is critically enquired in several ways. Nowadays normally people could consider the plurality of opinions as "truths", even if they contradict themselves.
Logicaly there is just one truth that dosent contradict itself , and it must be universal, and not a plurality of mere opinions. Therefore truth itself cannot be reduced to mere opinions.


The Pessimism of the Sophists

The Sophists considered the cosmos and the world a chaos, they had a pessimistic stance about the order of everything. They focused in what can only be grasp by the senses. Eventually their pragmaticism and their relativism, convinced them that everything was negative and pessimist.They didn’t consider the existens of a demiurge or of an order, unlike Plato. Aristotle himself stated (for the art of the sophist is the semblance of wisdom without the reality, and the sophist is one who makes money from an apparent but unreal wisdom);On Sophistical Refutations


Doubt as the Universal Rational Stance

The Sophistical view was, the doubt as the ultimate rational stance over all the things that cannot be explained. Nevertheless, doubt cannot be the unique rational stance because it constantly lead to mistakes or wrong doings. In some cases the positivism of religious traditions is psychologicaly necessary in order to be more committed to virtud and more faithfull to it. knowledge is the end of every being that is able to reasonate and men have his delight in knowledge and in understanding. Just as Aristotle said: All men by nature desire to know. An indication of this is the delight we take in our senses, (Metaphysics). Rational beings are philosophers by nature and they cling to what is consider to be best for themselves. A continuous lack of a stance, with doubts, might not be a satisfying view.

Conclusion

The skeptic reasoning can only be used in order to develope a critical and rational enquirity of different views, in order to be able afterwards to attain the truth, in order to avoid to remain with a variaty of opinions that often conclude with doubts and uncertanties.