Visual Statistics conceptualizes data analysis as a modern successor of epistemology
in search for meaning.

Cruise Scientific     Visual Statistics Studio       Visual Statistics Illustrated

 Elements of epistemology

Epistemology (Gk. episteme knowledge) is a branch of philosophy that investigates the origin and nature of human knowledge. Visual statistics consists of methods and algorithms for collection, analysis and visualization of quantitative and qualitative information that can help us to obtain a rational view of our world.

Saint Thomas refused to believe in resurrection until he saw and felt the wounds of Jesus Christ. The story, as told by John, goes as follows: The other disciples said to him, we have seen the Lord. But Thomas said 'except I shall see in his hands the print of the nails and thrust my hand into his side, I will not believe.' Then came Jesus and said to Thomas 'touch here with your finger, reach here with your hand, and be not faithless, but believing. And Thomas said to him 'My Lord and my God'. Jesus said to him,

'Thomas, because you have seen me, you have believed:
blessed are they that have not seen, and yet have believed.’

This story is of interest, as it illustrates a cornerstone of epistemology that of belief vs. doubt. The religious tradition asserts the superiority of belief over doubt while the opposite observed within the tradition of the science.

 

 Epistemology began in classical Greece with philosophers asking whether objective knowledge is possible…

 Socrates by Jacques-Louis David (1787)

About Socrates   Plato describes Socrates' (c. 9550 HE, 450 BCE) shabby appearance and tattered clothes. Socrates was appreciated by few and hated by many, as he sought the intellectual and moral improvement of society that, he thought, could be achieved by humanistic education.

Hemlock (Conium maculatum)

This collided with doctrines of religious moralists who want to improve society by religious indoctrination and by punishments meted out by the law. This ideological conflict was resolved not by a Socratic dialogue, but by a judicial decree. Socrates' teachings were judged as corrupt and Socrates was executed.

Over two millennia later, Socrates is still remembered, as his accusers did not realize that a better strategy would have been to accuse him of moral turpitude, and drug addiction. After all, he chose to drink hemlock, didn't he?

Socrates' Core Thesis   Socrates maintained that humans do not knowingly act evil. We do what we believe is the best. Improper conduct is the product of ignorance. The way to achieve a better society is through education.

The opposing view is that a better society must be maintained by punishments. This line of reasoning rests on the assumption that God gave us the free will to choose between good and evil. To restrain the evil; freedom has to be taken away from the guilty by incarceration or by the termination of life. To prevent the evil, freedom must be curtailed by pressures toward the moral rectitude by an elaborate system of rewards and punishments. The core postulates of this system are in the belief in God and in the belief of an afterlife. Thus, this system of rewards and punishments can include promises which fulfillment does not require tangible expenditures and cannot be verified, extended into eternity and intensified by fantasies of bliss in heaven and of suffering in hell. Within this cognitive framework, there is no escape, not even by suicide, which lands you in Hell. However, inflicting death upon others, as in a jihad, earns you into paradise plus the seventy one maidens’ bonus.

 

Terrorist Samson killed about 3,000 persons.

Number of persons killed during the air raids on the U.S. territory within the framework of some of the air raids by the U.S. on the territories of others.

Samson and Delilah  During one of the numerous wars between Israelites and Philistines, the leader of Israel was Samson (Judges 16:31). Delilah was a Philistine woman, paid over a thousand shekels to seduce Samson and deliver him to the hands of his enemies. Philistines, happy that 'our god has delivered our enemy into our hands, the one who laid waste our land and multiplied our slain," displayed captured Samson in the temple. This Biblical story ends as follows.

The temple was crowded with about three thousand men and women. When they stood him among the pillars, Samson prayed to the Lord, reached toward the two central pillars and pushed with all his might. The temple collapsed, killing all the people in it.

Religious justifications of terrorism can be found in both the Qur'an and the Bible. The Bible also includes a remarkably close estimate how many people can be killed by collapsing a large building. 

The Play of Shadows  The shadow play was introduced to the West by travelers who witnessed it in China. The play of shadows is a form of puppetry in which flat cutout figures are held against a translucent screen and illuminated by a lamp from behind. The Chinese also perfected the making of tinted translucent materials used to produce colored shadows. Sometimes, the figures had grotesque shapes and ornamentation. The art of shadow puppetry followed the Silk Road to Turkey, where it spread to Greece, reaching across the North Africa into Spain and France. The famous French silhouettes, popular before photography became generally available, were influenced by the shadow play.

Parable of the Cave  bears a marked resemblance to the shadow play. It was narrated by Plato (c. 9600 HE, 400 BCE), a student of Socrates. This parable follows an interesting course: Imagine prisoners in an underground cave with their necks chained so that they can only see before them. Behind them a fire is blazing at a distance. Between the fire and the prisoners there is a raised way. In front of the prisoners there is a wall on which the prisoners see the shadows of events taking place on the raised way. To them, the truth is literally nothing but the shadows of the images.

The Knowledge will Set You Free    One of the prisoners escapes, returns to the cave, and tells the others about the world above. After prisoners leave the cave, they initially think that the shadows are truer than the visible objects, only gradually grasping the reality. The meaning of this allegory is that mediated images are the world of those who live in the cave. To be free, we have to ascent upwards, into the world that could be correctly perceived and interpreted. Among the tasks of social sciences is to lessen the irrationality of the society, to improve critical thinking of its members, and to enable us to see issues and events as they are and not as the puppeteers would like us to believe. To dispel shadows and to cast the rays of light.

 


Biosphere surrounded
by Noosphere

   Aristotle’s Diagrams   Aristotle (c. 9650 HE; 350 BCE) who was among the students of Plato, is one of the fathers of visual statistics, as he used diagrams to illustrate points of explanation. Among these diagrams is a series of concentric spheres:

         Geosphere (Earth at the center of the Universe)
    Hydrosphere (Earth's oceans)
    Atmosphere (Air surrounding the Earth)
    Pyrosphere (Sphere generating lightning)
    Stellarsphere (Stars above the Earth)

with the prime mover (the first cause) initiating their spinning motion. Teilhard de Chardin (1881-1955) replaced the Aristotle’s pyrosphere with his concept of noosphere. He reasoned that while evolution diversified the living forms, humankind reversed this divergent process into a convergent one. While many species are on the verge of extinction, the diverse human cultures are converging toward the omega point. Teilhard de Chardin predicted that after reaching the omega point, humankind will cover the Earth's surface with collective human consciousness, the noosphere (from Greek noos, mind), superimposed on the already-existing biosphere. He elaborated these concepts in an effort to reconcile Darwin’s theory of evolution with the Biblical teachings. He did not date to publish his private manuscripts (published after his death in books The Phenomenon of Man (1955), The Divine Milieu (1957), The Future of Man (1959), and Hymn of the Universe (1964)). However, these manuscripts were discovered in his study. Professor's Chardin was fired from the Parisian Institut Catholique and immigrated to China. Pierre de Chardin did not live long enough to witness the emergence of the Internet, or his noosphere in action.

Aristotle’s school building
in Macedonia

 

 

Corpus Aristotelicum   The collected works of Aristotle, Corpus Aristotelicum, are divided into logic, physics, and metaphysics. The metaphysics consists of teleology, epistemology, cosmology, ontology, and ethics. Aristotle thought that every entity in the universe moves toward a goal, teleos, inherent in its nature. The principle subjects of teleology thus are development and change. Materialists understood these as mutually interconnected causal chains of events. The idealists thought that these chains of events must have been initiated and guided by a spiritual, supernatural principle, the ultimate source and cause of all things and events. From these deliberations, philosophy developed along two parallel lines. One was realistic and secular, the other was idealistic and religious. The realistic tradition maintains that the concept of supernatural original cause is redundant, unnecessary to understand our world and the meaning of our existence. The idealistic tradition maintains that in order to understand the world and the meaning of our existence, the concept of God is necessary. The next question then is, how we can know that God exists? This used to be the central question of epistemology, the Greek episteme meaning 'to know.'

 

Laughing and weeping philosophers 

 

Heraclitus (c. 9500 HE; 500 BCE) concern with brevity of human existence earned him the epithet the ‘weeping philosopher.’ Only about a hundred of Heraclitus’ aphorisms survive. His most memorable is that

‘You cannot step into the same river twice,

 a favorite of Mikhail Gorbachev. 

Democritus (c. 9600 HE; 400 BCE), the father of the first atomic hypothesis (Gr., atomos, a-not + temmein to cut), was one of the first philosophers to warn about the subjective qualities of our cognitions, scorned numerous superstitions of his times, and asserted that

Belief in an afterlife is a laughable fiction.

For this medieval commentators sometimes described him as the 'laughing philosopher'.  

 

Death is like the Dream Catcher of
 the Plains Indians that captures
not only the bad dreams, but all
of them.

 

 Lucretius and Epicurus

Among Democritus’ followers the most congenial to a skeptical contemporary reader is Lucretius. In his De Rerum Natura Libri Sex (9950 HE; 50 BCE), Lucretius describes the universe as explicable in rational terms and shows the implausibility of religions and superstitions. His arguments about the irrationality of beliefs in God are told with eloquence and clarity.

The preamble to Book Two extols the Epicurean life of detached tranquility, maintaining modest and easily attainable standard of living, while avoiding lofty ambitions, controversies, and disputes. This lifestyle makes life genuinely worth living. Pains should be accepted with equanimity. When experiencing pain, one should concentrate the mind on past pleasures, and, when the pain interminable and severe, on its eventual eclipse by the painless state of death.

The concluding part of Book Three is about the fear of death. To fear a future state of death, Lucretius argues, is to make the conceptual error of assuming yourself being able to lament your own non-existence. Being dead will be no better or worse than it was when you've not yet have been born. This Lucretian ‘symmetry argument’ is gaining prominence in the recent philosophical literature on death.

Lucretius talks about death as the natural conclusion of life, a counterpart of birth, liberating us from pain, anguish, anxiety, and fear. Albert Einstein asserted the same, saying that the fear of death is irrational, since when you die, no one can ever harm you again. Death is also the ultimate defense against cruelty those in power can inflict upon the others.

Stoicism and Skepticism

Emperor Marcus Aurelius
(161-180)

Stoicism was one of the most influential schools of thought during Hellenistic and Roman times. Stoicism accentuated rational self-control, adherence to the laws of nature, and a person's duty to preserve dignity and reason. The founder of the Stoic school was Zeno (c. 9664 – 9739; 336 - 261 BCE), who met with his students in Athens at the Stoa Poikile (Painted Arcade). Zeno was shipwrecked on the Greek shores and taught that each human should cultivate reason and recognize that one can control own feelings even if many other things are outside of his or her control. He taught his students to value freedom. They were to remember that when the circumstances become intolerable, the door is always open, as the death is preferable to slavery. Romans considered Christianity with its self-abasement, subjugation, and constant pleas to the Lord to be the religion of slaves. The decline of the Roman Empire, coinciding with the ascent of Christianity, was paralleled by decline of skepticism and stoicism. Marcus Aurelius, one of the last Roman Emperors, he was also one of the last stoic philosophers.

 

 

Sextus Empiricus
 (c.140-220)

Skepticism   Sextus Empiricus (c. 10140 – 10220 HE; 140-220 CE), physician and philosopher, describes a skeptic (from a Greek verb meaning “to examine carefully”) as an investigator (zetetic). According to Sextus, the skeptic is someone who investigates phenomena and events, suspending the judgment during the course of these investigations. Skepticism is an attitude that examines claims to certainty. It can be directly contrasted with belief, which accepts claims that a statement or a set of statements is true. Why are some people more skeptical than others? Research into this question centers around Kelley’s hierarchies of personal constructs. These hierarchies are defined along a continuum reflecting their accessibility to change. The peripheral constructs are more likely to be modified by dissonant evidence or experience than the core constructs. Modification of peripheral constructs can be accomplished by rational argumentation while the modification of the core constructs requires dissonant evidence or experience with a strong emotive component. Comparisons of skeptics and believers indicate that believers are more resistant to change of their core constructs. When faced with the necessity to change a core construct, believers experience more anxiety than skeptics.

Scholastic epistemology

Credo quia Absurdum Epistemology has two broad philosophical traditions, scientific and religious. The scientific tradition asks how we know about the world, the religious how do we know about God. Throughout history the answers to this question were that God could be known by reason, by faith, or by experience. The proofs of God based on rational deliberations can be classified into cosmological, teleological, and ontological arguments, and are associated with Catholic theology. The rational arguments for the existence of God were elaborated throughout the Middle Ages. Saint Thomas Aquinas in his Summa Theologiae (1273) presents five proofs of God's existence in intricate arguments with eloquence fitting the Angelic Doctor. Jacques Maritain in his Degrees of Knowledge (1932) restated Thomas' proofs of God's existence in modern terms. Maritain divides knowledge into the categories of quantity and being, subject matters of mathematics and metaphysics. However, the rational proofs of God's existence are intrinsically self-contradictory and thus Tertullian's desperate cry 'credo quia absurdum' (I believe because it is absurd) echoes through the ages.

Ontological Argument   Ontology (from Greek on, to be) is the branch of metaphysics that studies the nature of existence. The ontological argument can be phrased as follows. God is the most perfect being and since the concept of the most perfect being is inherent to our consciousness, then God must exist. This argument was originated by Saint Anselm (1033-1109). Saint Anselm was born in Italy, educated in Normandy, and entered England during the Norman (1066) invasion of England. There he was installed as archbishop of Canterbury. Divisive and argumentative, he was twice expelled from England, but he always returned. In his Proslogion Saint Anselm presents an argument that is considered to be the classic ontological proof of the God’s existence. The logic of the arguments is as follows. To exist both in the mind and in reality is greater than to exist only in the mind. If we define God as the greatest being, than such a notion cannot exist only in the mind, but must also exist in the reality.

 Sic et Non  The central maxim of scholasticism was ‘fides quaerens intellectum,’ (belief in search of reason). Primus inter pares of scholastics was Peter Abelard, best known for his book Sic et Non (Yes and No, 1120) about contradictory passages in the Scriptures and writings of the Church Fathers. These passages are discussed within the framework of Aristotle's dialectic method. Dialectic is a series of theses (propositions, arguments), antitheses (counter-propositions, counterarguments) which should result in synthesis, transcending the discussed issue. Dialectics is an important method of epistemology, enabling us to examine inherent contradictions in precepts others would like us to believe. The Sic et Non opens with the statement that 'There are contradictions and obscurities in the writings of the church fathers, but our respect for their authority should not discourage us from their critical evaluation.' Peter Abelard continues with unmistaken sarcasm that, however, 'the freedom of critical evaluation does not extend to the Old and New Testaments. There, if something strikes us as absurd, we should not say so, but must insist that the scribe made an error in copying the manuscript, or that there is an error in interpretation, or that the passage is only allegorical.' Predictably, the Sic et Non earned Peter Abelard hatred of the clerics, notably of Saint Bernard, who denounced him to the Pope Innocent II who had him condemned and his works listed in the Libri Prohibiti (index of forbidden books).


 
Occam’s Canon  The question of how we know certain things are true and how to explain them became prominent during the Middle Ages with the philosophy of William of Occam (c.1285-1349) Occam studied at Oxford where he was attracted to the philosophy of John Duns Scotus. Occam is best known by his canon

entia non sunt multiplicanda praeter necessitatem,’
(a multiplicity of reasons should not be posited unless necessary).

This is better known as Occam’s razor, close to the Aristotelian dictum that 'science is demonstration based on secure premises.'

In his Summa Logicae Occam rejects Saint Thomas' claims in Summa Theologiae that theology is a science and describes logical errors in his proofs of God's existence. This, predictably, earned Occam the accusation of heresy. The trial took place in Avignon and lasted several years. When Occam saw that he is going to be convicted, he decided to escape Avignon and seek refuge in Munich with Louis IV, Emperor of the Holy Roman Empire. Occam offered his services to Louis in exchange for Louis’ promise to protect him. According to the chronicler Occam said to Louis: ‘Defend me with your sword and I will defend you with my pen.’

Friar Roger Bacon and Sir Francis Bacon

Friar Roger Bacon (c.1220-1292)
Jules Verne of the 13th Century

Friar Roger Bacon was called by his friends 'Doctor Mirabilis' (the admirable doctor) and by his enemies the 'Crazy Monk at Oxford.' Roger Bacon is best known for his

"Sapientia sine eloquentia est quasi gladius acutus in manu paralytici,
sicut eloquentia expers sapientiæ est quasi gladius acutus in manu furiosi
"

(Science without eloquence is like a sharp sword in the paralyzed hands,
while eloquence without science is like a sharp sword in the violent hands).

Roger Bacon asserted the necessity of the study of languages, mathematics, experimental sciences, and moral philosophy. Scattered throughout his writings are descriptions of mirages, burning- mirrors, eclipses, laws of ebb and flow, diameters of the celestial bodies and their distances from one another, and shortcomings of the Julian calendar. Roger Bacon also affirms the possibility of microscopes and telescopes, steam- vessels and balloons.

Sir Francis Bacon (1561-1626)

 

Sir Francis Bacon was described by some of his contemporaries as 'cold, calculating and arrogant'. In Novum Organum (1620) Francis Bacon introduces his well known doctrine of the 'idols' and describes the scientific method as follows:

Collect reliable data
Classify data
Generalize data
Form a hypothesis
Verify hypotheses by further experiments
Elaborate hypotheses into a theory

Cosmology and epistemology

Launch of the Galileo probe
to the Jupiter (1989)

Ipse Dixit  Galileo Galilei's (1564-1642) nickname was 'the wrangler,' because of his caustic wit, nonconformity, and argumentativeness. This, together with him being a brilliant teacher with students flocking to his lectures (in academe, nothing else will infuriate colleagues more) made him many enemies. Galileo's contribution to epistemology is that he called attention to Aristotle's erroneous assertion that objects fall at accelerations proportional to their weights, i.e., the intuitively obvious argument that a heavier stone falls faster than a lighter stone. For centuries, the scientific reputation of Aristotle was such that statements were asserted without proof by the 'ipse dixit,' he himself (Aristotle) said it argument. Galileo used his timed (he counted his pulse to measure time) experiment - throwing objects from the (tilted) Pisa tower and measuring the time from their release to their impact to disprove the Aristotle's assertion. One of the first experiments carried after the landing of humans on the moon was the (successful) verification of the Galileo's free fall experiment. The epistemological implication of this Galileo vs. Aristotle controversy is that deference to authority is not a valid proof of assertions, arguments, hypotheses, or beliefs.

Argument of Cardinal Bellarmine
 

The primary reason behind Galileo's trial by Inquisition was his epistemology and not his cosmology. As most of the religion is based on proving assertions by references to the Bible, Galileo's prosecutor Cardinal Bellarmine was well aware that Galileo's epistemology is a greater threat to religion than his cosmology. He used the Galileo's cosmology (asserting the implausibility of the heliocentric system) as the pretext for his prosecution, as Galileo's cosmology was a lesser threat to religion than his epistemology. In hindsight, Bellarmine was correct. Religion was able to survive the prima facie evidence, provided by satellites, that the Biblical geocentric arguments are erroneous and recently, Pope John Paul apologized for Galileo's persecution. As the assertion that Bible is the 'verbum Dei' is ipsative, whether religion could survive acceptance of Galileo's epistemological canon is an open question. Pope John Paul's Catechism of the Catholic Church (1992), a summary of the principles of the Christian religion, has over 3,000 quotations. About 1200 quotes are from the New Testament, 800 from the Old Testament, 760 from encyclicals, canon laws, and ecumenical councils and 300 from church fathers. Pope John Paul's catechism relies not on evidence, but on the ipse dixit type of arguments.

 

 

Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune Pluto

Cosmological Argument and the Solar System  The cosmological proof of God's existence revolved around the question of how the Earth came into being and how it will end. In India’s epic poem, "Rig-Veda," the primordial state was one of neither existence nor nonexistence, and no one, not even the Gods, knows who produced the universe. In Egypt, the God Khepri claims that before him, there was only non-being. When he came into being, being itself came into being, and all of the other beings were then produced from the fact of his existence. In Judea, God created Heaven and Earth ex nihilo and then shaped the Earth in seven days by giving verbal orders. The Hellenic civilization initially supported the heliocentric world system, first proposed by Aristarchus, (c.310-230 BC) in his book On the Sizes and Distances of the Sun and Moon where he accurately estimated the sizes of the Sun and of the Moon and their distances from the Earth. With the rise of Christianity, the heliocentric system was replaced by the geocentric world system. The geocentric system prevailed up to the times of Copernicus (1473–1543) and Kepler (1571–1630), who correctly described the celestial mechanics of the solar system.

Galaxies as seen by the
Hubble Telescope

 

Galactic Stage of the Cosmological Argument   The second stage of the cosmological proof of God's existence revolves around the questions of how the Universe came into being and how it will end. In 1902, Kapteyn who catalogued positions and brightness of almost a half-million stars and, using statistical methods, described their motions, observed that these motions were not random, but streamed in two opposite direction. Twenty-five years later, Jan Oort, using Kapteyn’s data, suggested that the two crossing streams of stars could be explained if our galaxy was spiral and rotating. This observation of galaxies also suggested that by looking at the Milky Way, we are looking toward the galactic center of where the stars are the densest.

 

The Big-Bang Theory   In 1927, Abbe Lemaitre suggested that our Universe is expanding and that it likely began with the 'big-bang,' i.e., with the explosive expansion of extremely condensed matter. The big bang theory was readily embraced since it tacitly implied that the universe could have been created. Subsequently, Albert Einstein postulated that the space-time universe is distorted due to gravitational effects.

Spheroid

Hyperboloid

If this curvature is positive, then the Universe has a finite, closed volume, and properties analogous to that of a spheroid. Its expansion will eventually stop and the red shifts of stars, marking the expanding Universe will become the blue shifts, characteristics of the contracting Universe. After a long but finite time interval, the universe will return to the state of again being a singularity of infinite density. At this moment, it will vanish, and, possibly, again be created during the next big bang.

If this curvature is negative, then the Universe has an infinite, open volume, and properties analogous to that of a hyperboloid. Its expansion will go on and, eventually, all the energy of the stars will be used up and the universe will vanish in the total darkness. There are so far, no definite answers with respect to the curvature of the universe and its final destiny.

Although the Big-Bang theory is widely accepted, the recent Symmetric theory of cosmology, named for the underlying symmetries which form the basis of the general theory of relativity, provides a viable alternative.

Devil’s Concubine  Like Tertullian, Martin Luther (1483-1546) was not able to reconcile his incisive reasoning with his faith. Like many others he was unable to renounce his belief even though his reason was telling him that he was wrong. In desperation, he called reason

the devil’s concubine

and developed his sotereologic (from Gr. soteri(a) salvation) teaching around the central theme that people believe in God’s existence sola gratia, sola fide, and sola scriptura. That is, through faith given to them as a favor by God, and revealed in the Bible. Luther, who was well educated, had to realize that at his time the classical proofs of God’s existence were no longer tenable. What remained, unassailable by evidence, was faith. And it was faith that Luther embraced.

Those who believe God can be known only by faith that is a response to the Biblical revelation tend to be skeptical of philosophical proofs of God’s existence and maintain that the proofs of God’s existence by faith or by direct personal experience are more transcendental than the rational proofs. The assertions of God's existence by faith are intangible and stand aloof as ultimately unverifiable, purely personal mental constructs.

Some time ago there happened an alleged miracle in a southern Arizona town. The television commentator reporting the event asked a Franciscan monk for his opinion. The old man, confident that few would know he is quoting from Franz Werfel's Das Lied von Bernadette (1941) replied:

‘To those who believe, no proof is necessary.
To those who do not, no proof is possible.’

The onset of Protestantism coincides with the time when the advances in sciences, especially astronomy, made the rational proofs of God's existence untenable and they thus had to be replaced by experiential (based on exaltation) and fiducial (based on trust) arguments that God exists.

Classical protagonists of epistemology

  Rene Descartes (1596-1650)
Je Pense, Donc Je Suis  The search for knowledge is fraught with difficulties. Rene Descartes is best known for his unique strategy to conquer some problems of epistemology. This strategy is, initially, to withhold belief from anything that is not entirely certain. On close scrutiny, practically everything is open to doubt. In the process of examining his beliefs, Descartes imagined that a demon who, while actively trying to deceive him, challenges the belief that the physical world exists and calls into question the validity of reason. But not even a demon could deceive someone into believing that he or she does not exist. Cogito, ergo sum, which is usually translated 'I think, therefore I am,' is thus beyond skeptical doubt. This is the best part of the Descartes’ philosophy. However, entertaining doubt can easily lead to doubts about the existence of God and at this point Descartes becomes frightened. In 1633, upon hearing of Galileo barely escaping being burned at the stake, Descartes destroyed several of his manuscripts and introduced as the basic postulate of his epistemology an absolute belief in God’s existence as a prerequisite of all knowledge. Descartes managed to escape persecution. Some, upon hearing this story contemplated whether the Descartes’ Cogito, ergo sum should not be better rendered into English as 'I think, thus I am.'

George Berkeley (1685-1753)
 
Esse est Percipi  A variation of the ontological proof of God’s existence was presented by the Bishop George Berkeley, best known for the main campus of the University of California renamed in 1866 after him, and for the expression ‘esse est percipi,’ (to be is to be perceived). Berkeley developed his philosophy within the context of his argumentation with John Locke (1632-1704), as he believed that Locke's views lead to skepticism and atheism. Locke held that the material objects possess in reality the measurable qualities (such as mass), but that their sense qualities (such as color) exist only in our mind. Against this view Berkeley held that all properties of material objects exist only in our minds (to be is to be perceived). Since physical objects exist even when no one perceives them, then their objective existence (when no human mind perceives them) implies the God's existence, or, more precisely, existence of the God's mind, Berkeley argued.}

David Hume’s (1711-1776)
  Will the Sun Rise Tomorrow?  Central to David Hume’s theory of knowledge is the classification of knowledge into a priori and a posteriori categories. A priori knowledge is knowledge attainable prior to experience by reason alone. A posteriori knowledge is based upon experience. In the course of deductive reasoning one may attain positive, certain knowledge by building super-ordinate structures according to the laws of logic from a subordinate set of a priori truths. A classic example of a super-ordinate structure build by deduction from a set of postulates is Euclidian geometry. A posteriori knowledge is derived from experience by induction. While deductive reasoning seeks positive, certain truth, inductive reasoning makes conclusions that are only true with some degree of probability. Hume, one of the modern skeptics, successfully defended the contention that the statement 'the sun will rise tomorrow' is a statement of probability and not an absolute truth. About a century after Hume, the procedures of inductive reasoning were formalized by the theory of inferential statistics.

Immanuel Kant (1724-1804)
 
Phenomena and Noumenoa  Immanuel Kant is best remembered for his  'zwei Dinge erfüllen das Gemüt mit immer neuer und zunehmender Bewunderung und Ehrfurcht, je öfter und anhaltender sich das Nachdenken damit beschäftigt:

der gestirnte Himmel über mir
und das moralische Gesetz in mir.'

(the starry sky above me and the moral law within me.)  Kant claimed that only objects of experience, phenomena, may be known, whereas things lying beyond experience, noumena, are unknowable, and thus in some cases we assume a priori knowledge of them. The existence of such unknowable 'things-in-themselves' cannot be verified by science, yet the belief in God and immortality is mandatory, as morality requires their existence.

Comte de Saint-Simon When he was 13-years-old, Henri de Saint-Simon (1760-1825) refused to make his first Communion. During the War of Independence he followed his relative, the Marquis de Saint-Simon, to America where he took part in the battle of Yorktown. Before leaving America, in 1783, he presented to the Viceroy of Mexico the plan of a canal between the two oceans. During the French Revolution he was imprisoned for eleven months and while in prison, he formulated his main ideas about a scientific and social reform of humanity.

 

Saint-Simon envisaged the reorganization of society with elite of philosophers, engineers and scientists. He also advocated a secular humanist religion to replace the traditional religions with scientists as instructors. When dying, Saint-Simon said to Olinde Rodriguez, a philanthropist who liked his social ideas and supported him financially:

 

"Remember that to do anything great you must be impassioned".

 

Saint-Simon was crucial for the development of the social sciences, as he proposed a "science of society," based on the same foundations as the natural sciences. Saint-Simon highly influenced his disciple Auguste Comte. Saint-Simon's vision was highly influential throughout Europe through the 19th Century. Among his adherents were the mathematician Lagrange and Emperor Napoleon III.

 

Among Saint-Simon his notable adversaries was Friedrich Hayek (1889-1992), one of the architects of the “supply side” economics which gained momentum during the Ronald Reagan administration. The influence of the Kantian tradition on Hayek is evident in his use of Popper's principle that scientific knowledge proceeds by falsification, not by verification. Hayek's personal relationship with Popper, whom he helped in his career, was somewhat ironic considering that Hayek was a cousin of the philosopher Ludwig Wittgenstein (1889-1951) whom Popper criticized in the footnotes to The Open Society and Its Enemies. Hayek's entire approach to economics emphasized the limited nature of knowledge. He reasoned that the price mechanism of the free market serves to convey information about supply and demand that is dispersed among many consumers and producers and which cannot be coordinated in any other way. The tragedy of our time is that Hayek’s theory, leading to abysmal inequalities in the distribution of wealth happened precisely at the time when the computer technology could have made planned economies a viable and likely superior alternative to the “invisible hand” of Adam Smith, concentrating the wealth in the hands of few and sowing the social ills all around the globe.

 

The ancillor of Hayek and Popper was Allan Bloom who maintained that

 

"professors [promulgating positivism and logical positivism] simply would not and could not talk about anything important, and they themselves do not represent a philosophic life for the students."

 

seconded by his adherents describing the scientific analysis of society as a

 

miserable, impoverished, and incoherent a theory of logical positivism, a sea of nonsense, sterility, futility, and what could even be called autism.

  

 

Oeuvres de Saint-Simon

Auguste Comte  Auguste Comte (1798 – 1857) strived to develop a science of society that could explain past events and predict the future. Initially, he called this new science ‘social physics,’ and, later, 'sociology.' Comte stressed the necessity of separating facts and values during the course of scientific inquiry and dreamed about the ideal society, a sociocracy, ruled by scientists with decisions made on the basis of scientific, sociologic evidence. The natural science of Comte’s time was largely liberated from the restrictions the medieval Church had placed on the surviving knowledge of the ancients. It lessened its dependence on authority and relied instead on a combination of reason, observations, and experiments as the primary means of attaining knowledge. Comte maintained that his new science, sociology, should not only be of academic interest, but also should benefit society and contribute to the improvement of the quality of life. A strong point of Comte’s blueprint for the new science and new society was the stress he placed on the self-corrective nature of scientific theory. This he contrasted with theories and societies based on religious dogma, coerced to accept canonical beliefs as permanently valid and enforcing the laws as absolute criteria of conduct. Among the methodologies Comte envisioned for his new science was that of the natural experiments. In his book, A General View of Positivism (1848), Comte proposed to replace religion with humanism guided by the principles of social science.  The inscription on Comte’s tombstone reads ‘Love as the Principle, Order as the Means, Progress as the Goal.

 

In his book The Course of Positive Philosophy (1830-1842), Comte theorized that humanity is progressing through a series of stages of intellectual and cognitive development, consisting of:

Theological Stage
Theological Stage, where cognitive structures of people are dominated by supernatural entities with priests ruling society

                Metaphysical Stage
  Metaphysical Stage, where the cognitive structures of people are shaped by abstractions and lawyers rule the society.

Positive Stage
Positive, Scientific Stage, where the cognitive structures are primarily built on the basis of facts discovered by methods of science and verified through experimentation, observation, and logic.

 

Oeuvres de Auguste Comte

§         Cours de philosophie positive. 2 vol. Paris, Hermann, 1975.

§         Leçons de sociologie.

§         Système de politique positive. 4 vol. Paris, Anthropos, 1969

§         Du pouvoir spirituel. 1 vol. comprenant les opuscules de jeunesse. Paris, Le livre de poche, Pluriel, 1978.

§         Le catéchisme positiviste. Paris, Garnier-Flammarion, 1966.

§         Discours sur l'esprit positif. Paris, Société positiviste internationale, 1923; rééd. Paris, Vrin 1987.

§         Traité philosophique d'astronomie populaire. Paris, Fayard, 1985.

§         La synthèse subjective. Paris, chez l'auteur, 1856.

Kurth's typology of empires  Some of Comte's ideas were used by Kurth in his Typology of Empires, based on the characteristic level of ontological development of an empire.

Logical Positivism
To argue about truth or falsity of statements that do not permit verification
is a waste of time. Examples of metaphysical statements are 'there are angels'
or 'the devil does not exist.' These sentences cannot be proved or disproved,
they are meaningless.

Logical Positivism

Methodology of science is hard to reconcile with metaphysical or religious speculations, as these beliefs are usually encapsulated, the religious systems are closed and dogmatic and such argumentation is a waste of time.

The main tenets of logical positivism pertain to the meaningfulness and verifiability of statements.

         A proposition is meaningful only if it is verifiable.

         A proposition is verifiable only if it can be proved or disproved or can be deduced from other propositions which are verifiable.

         Statements that are not verifiable are cognitively meaningless although they may possess emotive meaning.

 

Stars of science  The founder of logical positivism was Ernst Mach. Three stars of science guided Mach's epistemology:

 

         parsimony

         reality

         methodology

Ernst Mach is today perhaps best known for the Mach Number, a ratio of the speed of an object to the speed of sound, with Mach One (758 mph) separating subsonic and supersonic speeds. However, a more fundamental contribution to science is his theory of scientific philosophy.

Around the turn of the century Mach was one of the most visible and well-known scientists. He exercised influence even on Vladimir Lenin who wrote his Materialism and Empiriocriticism as a polemic with Mach. Mach taught mathematics, physics and philosophy at universities in Prague and Vienna. He maintained that the more we know about something, the more concise we can be explaining it. In this he echoed Blaise Pascal who ended one of his letters to a friend

Forgive me that this letter is so long,
I was too busy to make it short.’

Mach’s principle of parsimony is close to that of Occam’s razor. As Occam, he maintains that the principle of parsimony excludes theology from being a science. Theology’s assumption of God as an explanatory construct is not parsimonious. Mach hoped that with the realization of the principle of parsimony the mystical and the religious would disappear.

Mach made the principle of parsimony a guiding principle of science. Science should strive for minimal theories with maximal explanatory power. Quantitative methods should be used to express our inner world. By creating permanent knowledge we should be able to transcend our own existence. His message to a true scientist is:

Do not look for the dubious immortality in the afterlife.
You can continue your conscious self by merging your cognitive structures with the positive culture of the humankind.

 


Moritz Schlick (1882-1936)

Death of the Professor   The apostle of logical positivism was Moritz Schlick, who founded, in 1924, the Vienna Circle (initially called the Ernst Mach Association), to promulgate logical positivism. Based on writings of Ernst Mach, logical positivism, also known as logical empiricism, underlies modern scientific inquiry. Among the members of the Vienna Circle were Rudolf Carnap, Hans Hahn, Otto Neurath, Herbert Feigl, and Gottlob Frege. On June 22, 1936, Moritz Schlick, Professor of Philosophy at the University of Vienna, was ascending the ‘staircase of philosophers’ to deliver his last lecture of the spring semester. Waiting on the staircase was one of his students, Johann Nelböck, who pulled a gun and killed him. Schlick had failed Nelböck in his class and slept with Nelböck's wife. Although from a family of German Protestant nobility, Schlick was characterized in the press as a Jew. This event ended the existence of the Vienna Circle, but not its legacy.


Rudolf Carnap (1891-1970)

Semantic, logic and the philosophy of science Rudolf Carnap, professor at Prague's Emperor Charles IV University, University of Chicago and at the University of California at Los Angeles, is best known for his work on the mutual relationships between semantic, logic, and epistemology. He wrote numerous books on this subject, such as The Logical Structure of the World (1928, Introduction to Semantics (1942), and Logical Foundations of Probability (1950).


Bertrand Russell (1872-1970)

 Bertrand Russell Another major theoretician of logical positivism was Bertrand Russell (1872-1970). Bertrand Russell was a mathematician, philosopher, and Nobel Prize winner. Throughout his life, Russell showed rigor in his analyses, openness to ideas, and aversion to dogma. He was in prison twice. The first time in 1918 for opposing the WW I, the second time in 1961 for opposing nuclear weapons. Russell thought that it might be possible to decompose narratives into their component statements, verifiable by empirical observation, reason, and logic. Let's illustrate Russell's epistemology by contrasting the Aristotelian (provable) and Peripatetic (improvable) syllogisms.

Peripatetic Syllogism

Aristotelian Syllogism

All humans are mortal
Socrates is a human
therefore Socrates is mortal

If all humans are mortal
and all Greeks are humans
then all Greeks are mortal.

The Peripatetic syllogism, containing the statement 'All humans are mortal,' invokes an unknowable future and is thus improvable.


this no-man’s-land is philosophy ...

In his History of Western Philosophy (1946), Bertrand Russell writes that

Between science and religion, between what we know and what we do not know, is a no-man’s-land. This no-man’s-land is philosophy.'

The natural sciences do not provide grounds for belief in God or personal immortality. Religion is not an indispensable component of human existence, but morality and humanism is.


there are devils ...

Angels and demons   Logical positivism divides statements into three principal categories. A priori analytic sentences express relationships that are verifiable by the rules of formal logic. A posteriori synthetic sentences are verifiable by using the rules of scientific inquiry. There are also a priori synthetic sentences. These metaphysical sentences cannot be verified, but their meaning can be experienced. Statements within the realm of literature, poetry, and art frequently communicate feelings and are legitimate means for sharing our experiences as human beings. The claims of truth-values for a priori synthetic sentences in the sense of science and not that of literature are intellectually dishonest. These metaphysical statements are not verifiable and all disputes about their truth or falsity are senseless. To argue about truth or falsity of statements that do not permit verification is a waste of time. Examples of metaphysical statements are 'there are angels' or 'the devil does not exist.' These sentences cannot be proved or disproved, they are meaningless.

Mach’s detractors   Hermann Bahr, one of Mach’s early admirers and later his enemy, in his ‘Dialogue About Tragedy’ criticizes Mach by using the following line of reasoning. ‘Reason dethroned old Gods as well as our Earth. Now it also threatens to destroy us. We have to realize that the foundation of our life is not truth, but illusion. I, personally, do not care what is or is not true. I care most about what I need.’ This Great Truth Controversy is so pervasive that it is likely embedded in the personalities of its proponents and detractors. Scientists tend to pursue truth, moralists tend to pursue power. This was well understood by another Mach’s antagonist, Emile Durkheim (1858-1917. To Durkheim, ‘religion is the projection of the power of society.’ However, the main enemy of logical positivism was Karl Popper.


Karl Popper (1902-1994)

Karl Popper,  a vocal critic of logical positivism, gained notoriety with publication of (1957) The Poverty of Historicism, where he rejected the concept of history that aims at discovery of historical trends. Popper's (1934) Logik der Forschung (logic of scientific discovery) was criticized as being only a restatement of Kantian synthetic a priori propositions and their quid facti verity. One of Popper's acolytes, Cyril Hoschl, (in his speech at Prague's Carolinum, May 25, 1994) claimed that "Sir Karl Raimund Popper, C.H., K.T., M.A., Ph.D., D.LITT, F.R.S., F.B.A. is the most eminent living philosopher of science." 

A different view of Popper was voiced by the British philosopher David Papineau, who reviewed Malachi Haim Hacohen's (2000) book Karl Popper: the formative years for the The New York Times (November 12, 2000). Papineau praises Hacohen's 600 pp. volume on Popper and concludes that by Hacohen's own account, "Popper was a monster, a moral prig."  Martin Gardner in his article A Skeptical Look at Karl Popper (Skeptical Inquirer, July, 2001) writes that

I am convinced that Popper, a man of enormous egotism, was motivated by an intense jealousy of Carnap. It seems that every time Carnap expressed an opinion, Popper felt compelled to come forth with an opposing view. Popper's great and tireless efforts to expunge the word induction from scientific and philosophical discourse have utterly failed. Except for a small but noisy group of British Popperians, induction is just too firmly embedded in the way philosophers of science and even ordinary people talk and think.

For incisive criticism of Popper you may consult David Stove's Popper and after: four modern irrationalists (the other three being Imre Lakatos, Paul Feyerabend, and Thomas Kuhn, know for his (1962) Structure of scientific revolutions, mocked in Frank & Ernest comic strip showing a chick breaking out of its shell, looking around, and saying, "Oh, wow! Paradigm shift!”.)

Armand T. Ringe composed the following clerihew on Popper who believed that he, Karl Popper, single-handedly destroyed the philosophical tenets of logical positivism and who was exalted by his protagonists as the England's greatest philosopher of science since Bertrand Russell:

Sir Karl Popper
Perpetrated a whopper
When he boasted to the world that he and he alone
Had toppled Rudolf Carnap from his Vienna Circle throne.

Karl Popper concocted his philosophy of science mostly from the convoluted, obtuse philosophy of Immanuel Kant.

Beyond logical positivism: Nonoverlapping Magisteria and the God hypothesis The nonoverlapping magisteria is phrase coined by Stephen Jay Gould in his (1999) book Rocks of Ages where he argues that the question of God's existence cannot be settled by scientific methods. Gould maintains that

The magisterium of science covers the empirical realm.
The magisterium of religion extends over questions of
ultimate meaning and moral value. Science studies how
the heavens go, religion how to go to heaven.

Richard Dawkins (2006) in his God Delusion answers Gould's claims as follows:

This remarkably widespread fallacy - many repeat it as a
mantra - that science has nothing to say about the question
of God's existence implies that science cannot even make
probability judgments on the question. The presence or
absence of a creative super-intelligence is unequivocally
a scientific question, even if it is not yet a decided one.

Gould and Dawkins books discuss many issues central to modern theory of scientific inquiry and are recommended for anyone interested in the central questions of epistemology.