In philosophy, theory (from ancient Greek theoria Theoria is Greek for contemplation (literally, to view or witness something as a spectator). Within Eastern Orthodox theology it refers to a stage of illumination on the path to theosis. It is obtained by means of contemplative prayer resulting from the cultivation of watchfulness (Gk: nepsis) achieved by the pure of heart who are no longer, θεωρία, meaning "a looking at, viewing, beholding") refers to contemplation or speculation, as opposed to action.^[1] Theory is especially often contrasted to "practice" (Greek praxis, πρᾶξις) which is a concept that in its original Aristotelian context referred to actions done for their own sake. The other type of actions are those "technical" ones done because they are instrumental to some other aim, such as making things like tools or houses. "Theoria Theoria is Greek for contemplation (literally, to view or witness something as a spectator). Within Eastern Orthodox theology it refers to a stage of illumination on the path to theosis. It is obtained by means of contemplative prayer resulting from the cultivation of watchfulness (Gk: nepsis) achieved by the pure of heart who are no longer" is also a word still used in theological contexts.

A classical example sometimes used to explain the distinction was within medicine Medicine is the science and art of healing. It encompasses a range of health care practices evolved to maintain and restore health by the prevention and treatment of illness. Before scientific medicine, healing arts were practised in accordance with alchemical treatments and ritual practices that developed out of religious and cultural traditions. Medical theory and theorizing involves trying to understand the causes Causality is the relationship between an event and a second event (the effect), where the second event is a consequence of the first and nature Nature is a word used in two major sets of ways, which are inter-connected in a complex way, for reasons related to the history of science, epistemology and metaphysics, particularly in Western Civilization of health At the time of the creation of the World Health Organization , in 1948, health was defined as being "a state of complete physical, mental, and social well-being and not merely the absence of disease or infirmity" and sickness, while the practical side of medicine is trying to make people healthy At the time of the creation of the World Health Organization , in 1948, health was defined as being "a state of complete physical, mental, and social well-being and not merely the absence of disease or infirmity". These two things are related but can be independent, because it is possible to research health and sickness without curing specific patients, and it is possible to cure a patient without knowing how the cure worked.^[2]

The verb θεωρία apparently developed special uses early in the Greek language Greek , an independent branch of the Indo-European family of languages, is the language of the Greeks. Native to the southern Balkans, it has the longest documented history of any Indo-European language, spanning 34 centuries of written records. In its ancient form, it is the language of classical ancient Greek literature and the New Testament of. In the book, From Religion to Philosophy, Francis Cornford Francis Macdonald Cornford was an English classical scholar and poet suggests that the Orphics Orphism (Ancient Greek, "Ορφικά") is the name given to a set of religious beliefs and practices in the ancient Greek and the Hellenistic world, associated with literature ascribed to the mythical poet Orpheus, who descended into Hades and returned. Orphics also revered Persephone (who descended into Hades each winter and returned used the word "theory" to mean 'passionate sympathetic contemplation' ^[3]. Pythagoras Pythagoras of Samos was an Ionian Greek philosopher and founder of the religious movement called Pythagoreanism. Most of our information about Pythagoras was written down centuries after he lived, thus very little reliable information is known about him. He was born on the island of Samos, and may have travelled widely in his youth, visiting Egypt changed the word to mean a passionate sympathetic contemplation of mathematical and scientific knowledge. This was because Pythagoras considered such intellectual pursuits the way to reach the highest plane of existence. Pythagoras stressed on killing the emotions and the lusts of the body and the release of the intellect to soar into the exalted domain of theory. Thus it was Pythagoras who gave the word "theory" the specific meaning which leads to the classical and modern concept of a distinction between theory as uninvolved, neutral thinking, and practice.^[4]

While theories in the arts The arts is a broad subdivision of culture, composed of many creative endeavors and disciplines. It is a broader term than "art," which as a description of a field usually means only the visual arts. The arts encompasses visual arts, literature and the performing arts - music, drama, dance and film, among others. This list is by no means and philosophy Philosophy is the study of general and fundamental problems concerning matters such as existence, knowledge, values, reason, mind, and language. It is distinguished from other ways of addressing fundamental questions by its critical, generally systematic approach and its reliance on rational argument. The word "philosophy" comes from the may address ideas and not easily observable empirical phenomena, in modern science Science is a body of empirical, theoretical, and practical knowledge about the natural world, produced by researchers making use of scientific methods, which emphasize the observation, explanation, and prediction of real world phenomena by experiment. Given the dual status of science as objective knowledge and as a human construct, good the term "theory", or "scientific theory" is generally understood to refer to a proposed explanation An explanation is a set of statements constructed to describe a set of facts which clarifies the causes, context, and consequences of those facts of empirical The word empirical denotes information gained by means of observation, experience, or experiment. A central concept in science and the scientific method is that all evidence must be empirical, or empirically based, that is, dependent on evidence or consequences that are observable by the senses. It is usually differentiated from the philosophic phenomena, made in a way consistent with the scientific method Scientific method refers to a body of techniques for investigating phenomena, acquiring new knowledge, or correcting and integrating previous knowledge. To be termed scientific, a method of inquiry must be based on gathering observable, empirical and measurable evidence subject to specific principles of reasoning. A scientific method consists of. Such theories are preferably described in such a way that any scientist in the field is in a position to understand, verify, and challenge (or "falsify") it. In this modern scientific context the distinction between theory and practice corresponds roughly to the distinction between theoretical science Science is a systematic enterprise of gathering knowledge about nature and organizing and condensing that knowledge into testable laws and theories. As knowledge has increased, some methods have proved more reliable than others, and today the scientific method is the standard for science. It includes the use of careful observation, experimentation, and technology Technology is a term referring to whatever can be said at any particular historical period, concerning the state of the art in the whole general field of practical know-how and tool use. It therefore encompasses all that can be said about arts, crafts, professions, applied sciences, and skills. By extension it can also refer to any systems or or applied science Fields of engineering are closely related to applied sciences. Applied science is important for technology development. Its use in industrial settings is usually referred to as research and development.

Theories formally and generally

Theories are analytical Analysis is the process of breaking a complex topic or substance into smaller parts to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle, though analysis as a formal concept is a relatively recent development tools for understanding Understanding is a psychological process related to an abstract or physical object, such as a person, situation, or message whereby one is able to think about it and use concepts to deal adequately with that object, explaining An explanation is a set of statements constructed to describe a set of facts which clarifies the causes, context, and consequences of those facts, and making predictions A prediction or forecast is a statement about the way things will happen in the future, often but not always based on experience or knowledge. While there is much overlap between prediction and forecast, a prediction may be a statement that some outcome is expected, while a forecast may cover a range of possible outcomes about a given subject matter. There are theories in many and varied fields of study, including the arts Art is the process or product of deliberately arranging elements in a way to affect the senses or emotions. It encompasses a diverse range of human activities, creations, and modes of expression, including music, literature, film, photography, sculpture, and paintings. The meaning of art is explored in a branch of philosophy known as aesthetics and sciences Science is a systematic enterprise of gathering knowledge about nature and organizing and condensing that knowledge into testable laws and theories. As knowledge has increased, some methods have proved more reliable than others, and today the scientific method is the standard for science. It includes the use of careful observation, experimentation,. A formal theory is syntactic In logic, syntax is anything having to do with formal languages or formal systems without regard to any interpretation or meaning given to them. Syntax is concerned with the rules used for constructing, or transforming the symbols and words of a language, as contrasted with the semantics of a language which is concerned with its meaning in nature and is only meaningful when given a semantic Semantics is the study of meaning, usually in language. The word "semantics" itself denotes a range of ideas, from the popular to the highly technical. It is often used in ordinary language to denote a problem of understanding that comes down to word selection or connotation. This problem of understanding has been the subject of many component by applying it to some content (i.e. facts The word fact can refer to verified information about past or present circumstances or events which are presented as objective reality. In science, it means a provable concept. and relationships of the actual historical world as it is unfolding). Theories in various fields of study are expressed in natural language In the philosophy of language, a natural language is any language which arises in an unpremeditated fashion as the result of the innate facility for language possessed by the human intellect. A natural language is typically used for communication, and may be spoken, signed, or written. Natural language is distinguished from constructed languages, but are always constructed in such a way that their general form is identical to a theory as it is expressed in the formal language A formal language is a set of words, i.e. finite strings of letters, symbols, or tokens. The set from which these letters are taken is called the alphabet over which the language is defined. A formal language is often defined by means of a formal grammar ; accordingly, words that belong to a formal language are sometimes called well-formed words ( of mathematical logic Mathematical logic is a subfield of mathematics with close connections to computer science and philosophical logic. The field includes both the mathematical study of logic and the applications of formal logic to other areas of mathematics. The unifying themes in mathematical logic include the study of the expressive power of formal systems and the. Theories may be expressed mathematically, symbolically, or in common language, but are generally expected to follow principles of rational thought Reason is a mental faculty found in humans, that is able to generate conclusions from assumptions or premises. In other words, it is amongst other things the means by which rational beings propose reasons, or explanations of cause and effect. In contrast to reason as an abstract noun, a reason is a consideration which explains or justifies or logic Logic is the study of reasoning. Logic is used in most intellectual activities, but is studied primarily in the disciplines of philosophy, mathematics, and computer science. Logic examines general forms which arguments may take, which forms are valid, and which are fallacies. It is one kind of critical thinking. In philosophy, the study of logic.

Theory is constructed of a set of sentences In the field of linguistics, a sentence is an expression in natural language, often defined to indicate a grammatical and lexical unit consisting of one or more words that represent distinct concepts. A sentence can include words grouped meaningfully to express a statement, question, exclamation, request or command which consist entirely of true statements about the subject matter under consideration. However, the truth of any one of these statements is always relative to the whole theory. Therefore the same statement may be true with respect to one theory, and not true with respect to another. This is, in ordinary language, where statements such as "He is a terrible person" cannot be judged to be true or false without reference to some interpretation An interpretation is an assignment of meaning to the symbols of a language. Many formal languages used in mathematics, logic, and theoretical computer science are defined in solely syntactic terms, and as such do not have any meaning until they are given some interpretation. The general study of interpretations of formal languages is called formal of who "He" is and for that matter what a "terrible person" is under the theory. ^[5]

Sometimes two theories have exactly the same explanatory power One theory is said to have more explanatory power than another theory about the same subject matter if it can predict and otherwise account for all the facts that the second one does, but also explains the causes of other facts which the second one does not. The opposite of explanatory power is explanatory impotence because they make the same predictions. A pair of such theories is called indistinguishable, and the choice between them reduces to convenience or philosophical preference.

The form of theories is studied formally in mathematical logic Mathematical logic is a subfield of mathematics with close connections to computer science and philosophical logic. The field includes both the mathematical study of logic and the applications of formal logic to other areas of mathematics. The unifying themes in mathematical logic include the study of the expressive power of formal systems and the, especially in model theory In mathematics, model theory is the study of mathematical structures such as groups, fields, graphs, or even universes of set theory, using tools from mathematical logic. A structure that gives meaning to the sentences of a formal language is called a model for the language. If a model for a language moreover satisfies a particular sentence or. When theories are studied in mathematics, they are usually expressed in some formal language A formal language is a set of words, i.e. finite strings of letters, symbols, or tokens. The set from which these letters are taken is called the alphabet over which the language is defined. A formal language is often defined by means of a formal grammar ; accordingly, words that belong to a formal language are sometimes called well-formed words ( and their statements are closed In mathematics, a set is said to be closed under some operation if performance of that operation on members of the set always produces a member of the set. For example, the real numbers are closed under subtraction, but the natural numbers are not: 3 and 7 are both natural numbers, but the result of 3 − 7 is not under application of certain procedures called rules of inference In logic, a transformation rule is a syntactic rule used in a formal system which may be interpreted as a valid rule of inference for constructing true propositions. Rules of inference, along with any axioms or axiom schemata it uses to derive valid formulas, comprise the deductive system of the formal system. A special case of this, an axiomatic theory, consists of axioms In traditional logic, an axiom or postulate is a proposition that is not proved or demonstrated but considered to be either self-evident, or subject to necessary decision. Therefore, its truth is taken for granted, and serves as a starting point for deducing and inferring other truths (or axiom schemata) and rules of inference. A theorem In mathematics, a theorem is a statement which has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements, such as axioms. The derivation of a theorem is often interpreted as a proof of the truth of the resulting expression, but different deductive systems can yield other is a statement that can be derived from those axioms by application of these rules of inference. Theories used in applications are abstractions Abstraction is a conceptual process by which higher, more abstract concepts are derived from the usage and classification of literal, "real," or "concrete" concepts of observed phenomena and the resulting theorems provide solutions to real-world problems. Obvious examples include arithmetic Arithmetic or arithmetics is the oldest and most elementary branch of mathematics, used by almost everyone, for tasks ranging from simple day-to-day counting to advanced science and business calculations. It involves the study of quantity, especially as the result of combining numbers. In common usage, it refers to the simpler properties when (abstracting concepts of number), geometry Geometry "Earth-measuring" is a part of mathematics concerned with questions of size, shape, relative position of figures, and the properties of space. Geometry is one of the oldest sciences. Initially a body of practical knowledge concerning lengths, areas, and volumes, in the 3rd century BC geometry was put into an axiomatic form by (concepts of space), and probability Probability is a way of expressing knowledge or belief that an event will occur or has occurred. In mathematics the concept has been given an exact meaning in probability theory, that is used extensively in such areas of study as mathematics, statistics, finance, gambling, science, and philosophy to draw conclusions about the likelihood of (concepts of randomness and likelihood).

Gödel's incompleteness theorem Gödel's incompleteness theorems are two theorems of mathematical logic that establish inherent limitations of all but the most trivial axiomatic systems for mathematics. The theorems, proven by Kurt Gödel in 1931, are important both in mathematical logic and in the philosophy of mathematics. The two results are widely interpreted as showing that shows that no consistent, recursively enumerable theory (that is, one whose theorems form a recursively enumerable set) in which the concept of natural numbers can be expressed, can include all true statements about them. As a result, some domains of knowledge cannot be formalized, accurately and completely, as mathematical theories. (Here, formalizing accurately and completely means that all true propositions—and only true propositions—are derivable within the mathematical system.) This limitation, however, in no way precludes the construction of mathematical theories that formalize large bodies of scientific knowledge.

Underdetermination

A theory is underdetermined (also called indeterminacy of data to theory) if, given the available evidence cited to support the theory, there is a rival theory which is inconsistent with it that is at least as consistent with the evidence. Underdetermination is an epistemological issue about the relation of evidence to conclusions.

Intertheoretic reduction and elimination

If there is a new theory which is better at explaining and predicting phenomena than an older theory (i.e. it has more explanatory power), we are justified in believing that the newer theory describes reality more correctly. This is called an intertheoretic reduction because the terms of the old theory can be reduced to the terms of the new one. For instance, our historical understanding about "sound," "light" and "heat" have today been reduced to "wave compressions and rarefactions," "electromagnetic waves," and "molecular kinetic energy," respectively. These terms which are identified with each other are called intertheoretic identities. When an old theory and a new one are parallel in this way, we can conclude that we are describing the same reality, only more completely.

In cases where a new theory uses new terms which do not reduce to terms of an older one, but rather replace them entirely because they are actually a misrepresentation it is called an intertheoretic elimination. For instance, the obsolete scientific theory that put forward an understanding of heat transfer in terms of the movement of caloric fluid was eliminated when a theory of heat as energy replaced it. Also, the theory that phlogiston is a substance released from burning and rusting material was eliminated with the new understanding of the reactivity of oxygen.

Theories vs. theorems

Theories are distinct from theorems: theorems are derived deductively from theories according to a formal system of rules, generally as a first step in testing or applying the theory in a concrete situation. Theories are abstract and conceptual, and to this end they are never considered right or wrong. Instead, they are supported or challenged by observations in the world. They are 'rigorously tentative', meaning that they are proposed as true but expected to satisfy careful examination to account for the possibility of faulty inference or incorrect observation. Sometimes theories are falsified, meaning that an explicit set of observations contradicts some fundamental assumption of the theory, but more often theories are revised to conform to new observations, by restricting the class of phenomena the theory applies to or changing the assertions made. Sometimes a theory is set aside by scholars because there is no way to examine its assertions analytically; these may continue on in the popular imagination until some means of examination is found which either refutes or lends credence to the theory.

Philosophical theories

Theories whose subject matter consists not in empirical data, but rather in ideas are in the realm of philosophical theories as contrasted with scientific theories. At least some of the elementary theorems of a philosophical theory are statements whose truth cannot necessarily be scientifically tested through empirical observation.

Fields of study are sometimes named "theory" because their basis is some initial set of assumptions describing the field's approach to a subject matter. These assumptions are the elementary theorems of the particular theory, and can be thought of as the axioms of that field. Some commonly known examples include set theory, game theory, and number theory; however literary theory, critical theory, and music theory are also of the same form.

Metatheory

One form of philosophical theory is a metatheory or meta-theory. A metatheory is a theory whose subject matter is some other theory. In other words it is a theory about a theory. Statements made in the metatheory about the theory are called metatheorems.

Political theories

A political theory is an ethical theory about the law and government. Often the term "political theory" refers to a general view, or specific ethic, political belief or attitude, about politics.

Scientific theories

In scientific usage, the term "theory" is reserved for explanations of phenomena which meet basic requirements about the kinds of empirical observations made, the methods of classification used, and the consistency of the theory in its application among members of the class to which it pertains. These requirements vary across different scientific fields of knowledge, but in general theories are expected to be functional and parsimonious: i.e. a theory should be the simplest possible tool that can be used to effectively address the given class of phenomena. Such theories are constructed from elementary theorems that consist in empirical data about observable phenomena. A scientific theory is used as a plausible general principle or body of principles offered to explain a phenomenon.^[6]

A scientific theory is a deductive theory, in that, its content is based on some formal system of logic and that some of its elementary theorems are taken as axioms. In a deductive theory, any sentence which is a logical consequence of one or more of the axioms is also a sentence of that theory.^[5]

A major concern in construction of scientific theories is the problem of demarcation, i.e., distinguishing those ideas that are properly studied by the sciences and those that are not.

Theories are intended to be an accurate, predictive description of the natural world.

Theories as models

Theories are constructed to explain, predict, and master phenomena (e.g., inanimate things, events, or behavior of animals). A scientific theory can be thought of as a model of reality, and its statements as axioms of some axiomatic system. The aim of this construction is to create a formal system for which reality is the only model. The world is an interpretation (or model) of such scientific theories, only insofar as the sciences are true.

Theories in physics

In physics the term theory is generally used for a mathematical framework—derived from a small set of basic postulates (usually symmetries—like equality of locations in space or in time, or identity of electrons, etc.)—which is capable of producing experimental predictions for a given category of physical systems. A good example is classical electromagnetism, which encompasses results derived from gauge symmetry (sometimes called gauge invariance) in a form of a few equations called Maxwell's equations. Note that the specific theoretical aspects of classical electromagnetic theory, which have been consistently and successfully replicated for well over a century, are termed "laws of electromagnetism", reflecting that they are today taken for granted. Within electromagnetic theory generally, there are numerous hypotheses about how electromagnetism applies to specific situations. Many of these hypotheses are already considered to be adequately tested, with new ones always in the making and perhaps untested.

Pedagogical definition

In pedagogical contexts or in official pronouncements by official organizations of scientists a definition such as the following may be promulgated.

According to the United States National Academy of Sciences,

Some scientific explanations are so well established that no new evidence is likely to alter them. The explanation becomes a scientific theory. In everyday language a theory means a hunch or speculation. Not so in science. In science, the word theory refers to a comprehensive explanation of an important feature of nature supported by facts gathered over time. Theories also allow scientists to make predictions about as yet unobserved phenomena, ^[7]

According to the American Association for the Advancement of Science,

A scientific theory is a well-substantiated explanation of some aspect of the natural world, based on a body of facts that have been repeatedly confirmed through observation and experiment. Such fact-supported theories are not "guesses" but reliable accounts of the real world. The theory of biological evolution is more than "just a theory." It is as factual an explanation of the universe as the atomic theory of matter or the germ theory of disease. Our understanding of gravity is still a work in progress. But the phenomenon of gravity, like evolution, is an accepted fact.^[8]

The primary advantage enjoyed by this definition is that it firmly marks things termed theories as being well supported by evidence. This would be a disadvantage in interpreting real discourse between scientists who often use the word theory to describe untested but intricate hypotheses in addition to repeatedly confirmed models. However, in an educational or mass media setting it is almost certain that everything of the form X theory is an extremely well supported and well tested theory. This causes the theory/non-theory distinction to much more closely follow the distinctions useful for consumers of science (e.g. should I believe something or not?)

The term theoretical

The term theoretical is sometimes informally used in place of hypothetical to describe a result that is predicted, but has not yet been adequately tested by observation or experiment. A hypothesis is the application of a theory or theories to new conditions which has yet to be tested while a theory is a prediction based on previous observations or experiments of the same or similar circumstances. It is not, however, uncommon for a theory to produce predictions that are later confirmed or proven incorrect by experiment. By inference, a prediction proved incorrect by experiment demonstrates the hypothesis is invalid. This either means the theory is incorrect, or the experimental conjecture was wrong and the theory did not predict the hypothesis.

List of notable theories

• Astronomy: Big Bang Theory
• Biology: Cell theory — Evolution — Germ theory
• Chemistry: Atomic theory — Kinetic theory of gases
• Climatology: Climate change theory (due to anthropogenic activity)
• Education: Constructivist theory — Critical pedagogy theory — Education theory — Multiple intelligence theory — Progressive education theory
• Engineering: Circuit theory — Control theory — Signal theory — Systems theory — Information theory
• Film: Film Theory
• Games: Combinatorial game theory — Game theory — Rational choice theory
• Geology: Plate tectonics
• Humanities: Critical theory
• Literature: Literary theory
• Mathematics: Approximation theory — Arakelov theory — Asymptotic theory — Bifurcation theory — Catastrophe theory — Category theory — Chaos theory — Choquet theory — Coding theory — Deformation theory — Dimension theory — Ergodic theory — Field theory — Galois theory — Game theory — Graph theory — Group theory — Hodge theory — Homology theory — Homotopy theory — Ideal theory — Intersection theory — Invariant theory — Iwasawa theory — K-theory — KK-theory — Knot theory — L-theory — Lie theory — Littlewood–Paley theory — Matrix theory — Measure theory — Model theory — Morse theory — Nevanlinna theory — Number theory — Obstruction theory — Operator theory — PCF theory — Perturbation theory — Potential theory — Probability theory — Ramsey theory — Representation theory — Ring theory — Set theory — Shape theory — Small cancellation theory — Spectral theory — Stability theory — Stable theory — Sturm–Liouville theory — Twistor theory
• Music: Music theory
• Philosophy: Proof theory — Speculative reason — Theory of truth — Type theory — Value theory — Virtue theory
• Physics: Acoustic theory — Antenna theory — BCS theory — Landau theory — M-theory — Perturbation theory — Theory of relativity — Quantum field theory — Scattering theory — String theory
• Planetary science: Giant impact theory
• Visual Art: Aesthetics — Art Educational theory — Architecture — Composition — Anatomy — Color theory — Perspective — Visual perception — Geometry — Manifolds
• Sociology: Sociological theory — Social theory — Critical theory
• Sports: Chess theory
• Statistics : Extreme value theory
• Theatre : Theory relating to theatrical performance.
• Other: Obsolete scientific theories — Phlogiston theory

See also

• Falsifiability
• Formal language
• Formal system
• Hypothesis
• Hypothesis testing
• Model
• Predictive power
• Scientific method
• Testability

Notes

1. ^ Originally the word theory was used in Greek philosophy, for example that of Plato. The word theory is related to θεωρός "spectator", θέα thea "a view" + ὁρᾶν horan "to see", literally "looking at a show". See for example dictionary entries at Perseus website. The word has been in use in English since at least the late 16th century.Harper, Douglas. "theory". Online Etymology Dictionary. http://www.etymonline.com/index.php?term=theory. Retrieved 2008-07-18.
2. ^ See for example Hippocrates Praeceptiones, Part 1.
3. ^ Cornford, Francis Macdonald (November 8, 1991). From religion to philosophy: a study in the origins of western speculation. Princeton University Press. ISBN 978-0691020761.
4. ^ Russell, Bertrand, History of Western Philosophy
5. ^ ^{a b} Curry, Haskell, Foundations of Mathematical Logic
6. ^ Merriam-Webster.com Merriam-Webster Dictionary: Theory in Science
7. ^ National Academy of Sciences (2005), Science, Evolution, and Creationism, a brochure on the book of the same title.
8. ^ AAAS Evolution Resources

References

• Popper, Karl (1963), Conjectures and Refutations, Routledge and Kegan Paul, London, UK, pp. 33–39. Reprinted in Theodore Schick (ed., 2000), Readings in the Philosophy of Science, Mayfield Publishing Company, Mountain View, Calif., pp. 9–13.
• Chairman of Biology and Kennesaw State Ronald Matson's webpage comparing scientific laws and theories
• Hawking, Stephen (1996). "The Illustrated A Brief History of Time" (Updated and expanded ed.). New York: Bantam Books, p. 15.
• Mohr, Johnathon (2008). "Revelations and Implications of the Failure of Pragmatism: The Hijacking of Knowledge Creation by the Ivory Tower". New York: Ballantine Books. pp. 87–192.

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