Knowledge

Knowledge, on one common account by philosophers, is justified, true belief. But this is only one philosophical account, and "knowledge" is often used in a looser way by everyone else to refer to any form of truth or belief, a whole body of truth or a whole system of belief. For "knowledge" in this latter sense, see world view, ideology, and religion.

In a more restricted and philosophical sense, knowledge is the central topic of the philosophical subdiscipline of epistemology. A good place to begin with this topic is by explaining why most philosophers do distinguish between knowledge on one hand and both truth and belief on the other hand.

Firstly, knowledge is said to differ from truth for the simple reason that not all truths are known; in other words, there are undiscovered truths. Some people (including some philosophers) are apt to respond to this by asking, "What sort of thing is an undiscovered truth?" This is an ontological issue, however, and most of us will probably be satisfied if we simply give examples. For instance, the second law of thermodynamics was already true prior to its being formulated in the 19th century.

Secondly, knowledge is said to differ from belief because we believe many things when we do not really know them.

Generally, knowledge refers to one's ability to generalize the experience in a compact form, to remember it and transfer it to others, while it also refers to the tools for such generalizing and transferring. In this sense, even the customs and semantics of human language can be considered as knowledge, while the same applies to all forms of art including literature. The more structured (restricted) knowledge forms are religions, that follow the certain canons; this kind of knowledge (in the case of world religion) happens to be efficient in the organization of moral behavior of the members of religious societies and countries.

Even more structured are sciences, which follow the certain rules (elaborated empirically during centuries, with numerous of probes and errors), that make them efficient especially in the prediction of phenomena.

Customs

The category of customs should include not only commonly accepted human behavior, but also habitual semantics of commonly used human languages. For example, the usual meaning of the Bible is custom, widely accepted in the Christian community. The sentence {\em You shall love your neighbor as yourself} allows various interpretations, including the homosexual orientation of Jesus Christ, dependently on the meaning of the word love and its Hebrew and Aramaic equivalents. Similarly, the interpretations by Tim Rice and Michael Bulgakov should be qualified not as a custom but as an art.

The folklore also falls in the category of customs, while it is sometimes difficult for the investigation by the systematic methods. However, if one collects the folklore texts or the records of country–music and publish, the folklor becomes literature, art.

The semantics of the human languages and their understanding - i.e. the meaning of words - is the most important part of human knowledge. Namely this kind of knowledge gives sense to other kinds of knowledge.

Arts

Art is knowledge that is free from internal rules and is realized in a reproducible form that allow its systematic investigation, viewing, listening, performing, etc. Such a definition corresponds to a goal formulated in the introduction, although it slightly reduces the set of things which could be called art. Usually a product of art has the following properties:

A0. Internationality. The music, images, movies, sculptures can be recognized as art regardless of the nationality of the spectators; even the text files often allow the translation into other languages.

A1. Beauty. The extensive ability of any unexpected use.

A2. Structureless. Intents to bring into the arts rules are not efficient. The arts use all other knowledges; the same product may have both artistic and scientific value.

A3. Wisdom. Artists with their works say more, than they planned to say, and more, than they understand by themselves. In this sense, the product of art may be wiser than the author.

A4. Entirety. Intents to correct, to improve a product of art destroy it.

A5. Amoralism. Creatures that have goal to bring some moral to the society, have low artistic value if at all; the creature may violate any taboo.

Aiming the specific application of the classification, the topics of customs and arts are presented here only declaratively.

Religions

Religion is kind of the human knowledge based on some (specific for each religion) set of irrefutable concepts, believes, texts, symbols and performances.

Usually, any religion is characterized in the most of following:

R0. Difficulty of translation. Some of religions are strongly entangled with the ethnicity and language; there are opinions that neither Koran, nor Torah can be translated in a fully correct way. (Although some other religions like christianity are more international.)

R1. The existence of at least one God is presumed.

R2. There exist canonical sacred text, that allow the humans to guess the will of God(s) and follow it.

R3. God like some actions of human, these actions are called Good.

R4. God dislike some actions of human, these actions are called Evil.

R5. The suggested set of concepts pretends to play an organizing role in the society: The following to namely this religion provides abilities for the kindness, prudence and wisdom significantly wider, than any other religions.

God is generic term denoting any intelligent subject that in some way (that is not available for humans) has abilities that greatly exceed those of a human. Actions related to these abilities are called miracles.

God may look like a human (Jesus Christ, Buddha, Lenin), but also can be ``non-material (God - Holy Spirit, World Revolution, Marxism). God may be omnipotent (almighty), invincible, immortal and predicts future:
The Marxist doctrine is omnipotent because it is true
Long live invincible marxism - leninism - mao tsetung.
The generation of those who are now fifteen will see a communist society, and will itself build this society.
The immortal beacon of Comrade Stalin will forever illuminate the path on which the Chinese people march forward.
And he said unto Abram, Know of a surety that thy seed shall be a stranger in a land that is not theirs, and shall serve them; and they shall afflict them four hundred years.

World religions, each in their own way, offer a unique set of moral values and rules to guide humans. Often, such rules are presumed to be truth without limits and alternatives. Here are two examples:
(1)The law of the LORD is perfect, restoring the soul; The testimony of the LORD is sure, making wise the simple.
(2)... he who chooses a religion other than islam, it will not be accepted from him, and in the everlasting life he will be among the losers.

Some religions do not identify themselves as religions, pretending to be sciences. . The adepts consider their own belief as the only true concept, denying the dogmatic character of their believes, and treat any deviant behavior as crime, heresy and mental illness; the wrong-believers are punished or undergo the forced medical treatment. Some religions justify lies, sacrifices, betrays, massacre, murdering and wars, if they serve the needs or preferences of their God(s).

Most of religions avoid any refutable concepts. The concept is called refutable, if (and only if) in terms if this concept, some specific observation can be described that negates the concept. For example, the statement
The Party officially declares: The current generation of the soviet people will live in communism
is refutable: based of such a declaration, the next generation may shame the adepts of that religion as liars, impostors and frauders. Within few generations after creation of a new religion, it abandons and forgets all its refutable concepts and becomes more stable. Here are the examples of irrefutable concepts:
God blesses America
Imperialism is evil
God gives the immortal soul to everyone
The righteous will be at Heaven

The canonic texts describe the marvels and miracles that are specific for each religion. The miracle may refer to the magic conversion of water into vine, the drastic increase in production efficiency by the inspiration of the fuhrer, the catching of the spies by children, the destruction of an army of the enemy tanks by several heroic soldiers launching grenades, etc.

The definition in the beginning of the section does not specify features R1-R5 as necessary; so, many kinds of knowledge falls into the definition of religion. In particular, it includes the shintoism and the civil religions, although these religions do not pretend to be the "only true knowledge and Gods in these religions are not omnipotent.

Religions form a significant part of human knowledge and play an important role in human history. While a religion is tolerant with respect to other kinds of knowledge (and in particular, to other religions), it may assist the prosper development of the society. No one religion can substitute other kinds of knowledge, end even other religions, as one specific science cannot substitute all other sciences. The society, where any religion dominates in an aggressive way, becomes barbarian compared to other countries within few generations; the people of such a society loss the ability to analyze the information.

Sciences

After works by Karl Popper, the term science can be defined in the restrictive way:

Science is a form of knowledge, activity and notations, based on concepts that have all the six properties below:

S0. Applicability: Each concept has the limited range of validity, distinguishable from the empty set.

S1. Verifiability: In the terms of the already accepted concepts, some specific experiment with some specific result, that confirms the concept, can be described.

S2. Refutability: In the terms of the concept, some specific experiment with some specific result, that negates the concept, can be described.

S3. Self-consostency: No internal contradictions of the concept are known.

S4. Principle of correspondence: It the range of validity of a new concept intersects the range of validity of another already accepted concept, then, the new concept either reproduced the results of the old concept, or indicated the way to refute it. (For example, the estimate of the range of validity of the old concept may be wrong.)

S5. Pluralism: Mutually-contradictive concepts may coexist; if two concepts satisfying S1-S5 have some common range of validity, then, in this range, the simplest of them has priority.

All the six properties aboveare compulsory. For example, if the range of validity of a concept is the full set (id est, the concept is valid every time and everywhere), then it does not satisfy S0, and there is no need to check properties S1-S5 to qualify such a concept as non-scientific.

Scientific concepts are built on the base of observations, experiments, axioms, hypothesis, theorems and theories.

Observation means identification of some phenomena which are in some sense similar.

Axioms are statements that are considered as initial at the building-up of some concept. Concept with commonly accepted axioms is called "paradigm.

Theorems are statements that are proven on the base of axioms and definitions. Sometimes this term is used even in those cases then the proof of the statement is not yet constructed but is expected to be constructed in future. In such cases the term "hypothesis or "Conjecture is more suitable.

If the hypothesis is deduced from the postulates and other, already proven theorems, it becomes a theorem. If a hypothesis had predicted some non-trivial results of observations or experiments, it becomes a theory.

Activity, related with development of new concepts is called research. The most important classification of sciences is based on the subject of the research, the goal and the methods, that dominate in the research:
humanitarian --- natural,
fundamental --- applied and
theoretic --- experimenal.
At the beginning of century XXI, not all sciences are developed sufficiently to allow the use all the eight resulting options. Before Hooke and Newton, the deduction was prerogative of mathematics and not so often in physics, if at all. Before quantum mechanics was developed a science, deducing was not possible in chemistry. Until now, many concepts in biology and the humanitarian sciences are built up on the base of guesses and verification, rather than on the base of deduction. In particular, experimental astrophysics as well as experimental history or theoretic biology usually refer to a form of science–fiction rather than to a science.

Mathematics is the most important science, it makes up the basis of other sciences. There is not any science which dares to contradict mathematics. Computational mathematics and cybernetics serve as a bridge between mathematics and other forms of knowledge. General physics and theoretical physics relate mathematics to other sciences, although some sciences (even humanitarian ones) may use, for example, the statistical methods without referring to physics.

If some science concept contradicts the basic paradigms of mathematics or those of physics, then according to S5 a way should be indicated to prove that they are wrong.

Sciences and society

Usually the sciences, and especially the fundamental ones do not give a fast benefit, as other types of knowledge. The spending of the budget funding to support the satisfaction of the personal curiosity of researchers requires justification. There were intents to submit the development of science to other goals (creation of facilities of the modernization of the industry, or increasing of the military power of a country, etc.). Some researches, especially applied ones, can be motivated in such a way; and the results may be scientific.

During the human history, there was not developed more efficient motivation for science, than curiosity of researchers who do it. Yet, there is no other way to make the deep science. However, the needs of industry can be mentioned as motivation for the financial support of the curiosity of researchers.

The distribution of funds assigned for the development of science is serious problem. Administrators of funds cannot drill deeply into the research they finance. The funds are distributed on the base of the formal criteria: publications, citation, participation in the conferences. The ability to write the grant applications and good relations with colleagues and the distributors of funds become important, if not dominant, factor in the success in the getting of the financial support. For the same reason, the spectacularity of the new effects is important for their promotion.

Especially non-efficiently the funds are sent in the countries with corrupted bureaucracy; and not only because the significant part of foundation is spent for bribes and the private security. The government being unable to keep the growth of the technology of the country at the international level begins to secret the scientific achievements in order to enable the monopolistic use in the military industry. Often, the results are fake: the secrecy protects them from critics and opens wide field for both wanted and unwanted errors.

In a totalitaristic country, some sciences may be not only left without foundation, but crashed by the physical repression of researchers, as it happened in the USSR with the theory of relativity, quantum mechanics, cybernetics and genetics. Previously, in Europe, in the epoch of the Holly Inquisition, the similar phenomena took place with respect to astronomy and physiology.

The properties S0-S5 allow to separate scientific concepts from others without fighting the pseudosciences. In particular such researches as inertial propulsion can be identified as a fraud, not a science: the criterion 4 (the principle of correspondence), is violated.

Objectivity

Past century, Karl Popper had described some especially efficient kind of knowledge. He called it science. However, not only science iteself, but, perhaps, even term "science was in use even before Popper. But Popper seems to be first, who formulated the criterion of refutability as the essential property of ANY scientific concept. . The results by Popper can be expressed in the following sentences:

1. It is easy to obtain confirmations, or verifications, for nearly every theory -- if we look for confirmations.

2. Confirmations should count only if they are the result of risky predictions; that is to say, if, unenlightened by the theory in question, we should have expected an event which was incompatible with the theory — an event which would have refuted the theory.

3. Every "good" scientific theory is a prohibition: it forbids certain things to happen. The more a theory forbids, the better it is.

4. A theory which is not refutable by any conceivable event is non-scientific. Irrefutability is not a virtue of a theory (as people often think) but a vice.

5. Every genuine test of a theory is an attempt to falsify it, or to refute it. Testability is falsifiability; but there are degrees of testability: some theories are more testable, more exposed to refutation, than others; they take, as it were, greater risks.

6. Confirming evidence should not count except when it is the result of a genuine test of the theory; and this means that it can be presented as a serious but unsuccessful attempt to falsify the theory. (I now speak in such cases of ``corroborating evidence.)

7. Some genuinely testable theories, when found to be false, are still upheld by their admirers — for example by introducing ad hoc some auxiliary assumption, or by reinterpreting the theory ad hoc in such a way that it escapes refutation. Such a procedure is always possible, but it rescues the theory from refutation only at the price of destroying, or at least lowering, its scientific status.

In the Popper's terminology, the falsifiability and refutability are synonyms. This century, term "falsifivation" is ambiguous. First, may mean rejection, refuting of a concept on the base of its internal contradictions revealed, or for the reason of contradiction with some experimental results, observations. Second, the same term may mean the misinformation, fabrication, fraud, non–honest fabrication of something that pretends to be information or knowledge. For this reason, it is better not use term "falsification", using the terms "refutation" or "fraud" dependently on the meaning required.

The request of refutability does not allow any objectivity; science appears as a special tool to make the efficient predictions, rather than any kind of objective knowledge. Then, the principles of Science appear as pretty general (but still empiric) set of criteria that allow to qualify some knowledge as scientific and expect its efficiency.

The requirement of refutability opposes the {\em believe} in the ability to get some {\em objective} knowledge. The idea by Popper were not accepted by colleagues, as the growth of knowledge is believed to dominate over the refutation. . The ignorance of refutability and believes into some objective knowledge leads to the growth of pseudo-science and suppression of really new branches of science. For example, in the USSR, in its time, even the theory of relativity, quantum mechanics, cybernetics were suppressed as pseudo-sciences; the inertial propulsion and lysenkoism can be considered as relatively modern examples of pseudo–science. .

The main property, that distinguish any pseudoscience from any science (whenever the concepts are true or false) is neither an objectivity, nor a truth of a research or a concept (only God knows the Truth), but the way the concept is constructed and its attitude with respect to other concepts. The scientific concept may be false, but it should provide ways to reveal it (and reject it).