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A law is a universal principle that describes the fundamental nature of something, the universal properties and the relationships between things, or a description that purports to explain these principles and relationships.
Laws of nature
For example, physical laws such as the law of gravity or scientific laws attempt to describe the fundamental nature of the universe itself. Laws of mathematics and logic describe the nature of rational thought and inference (Kant's transcendental idealism, and differently G. Spencer-Brown's work Laws of Form, was precisely a determination of the a priori laws governing human thought before any interaction whatsoever with experience).
Within most fields of study, and in science in particular, the elevation of some principle of that field to the status of law usually takes place after a very long time during which the principle is used and tested and verified; though in some fields of study such laws are simply postulated as a foundation and assumed. Mathematical laws are somewhere in between: they are often arbitrary and unproven in themselves, but they are sometimes judged by how useful they are in making predictions about the real world. However, they ultimately rely on arbitrary axioms.
Laws of fundamentals in mathematics
Some fundamental law of mathematics was introduced by Harsha .
First law of fundamentals: If we consider k as a constant and a, b & c are any real numbers of which the product of a and b is c but the product of and is not equal to .
Complemantry of first law of fundamentals:As per the first law a, b & c are any real numbers and k is constant the product of a and b is c,then the product of and is equal to .
Second law of fundamentals:If we consider a, b & c are any real numbers and k be any constant the division of a and b is c and the division of and is not equal to but equal to c.
Laws of economics are an attempt in modelization of economic behavior. Marxism criticized the belief in eternal laws of economics, which it considered a product of the dominant ideology. It claimed that in fact, those so-called laws of economics were only the historical laws of capitalism, that is of a particular historical social formation. With the advent, in the 20th century, of the application of mathematical, statistical, and experimental techniques to economics, economic theory matured into a corpus of knowledge rooted in the scientific method rather than in philosophical argument.
Finally, the term is sometimes applied to less rigorous ideas that may be interesting observations or relationships, practical or ethical guidelines (also called rules of thumb), and even humorous parodies of such laws.
Examples of scientific laws include Boyle's law of gases, conservation laws, Ohm's law, and others. Laws of other fields of study include Occam's razor as a principle of philosophy and Say's law in economics. Examples of observed phenomena often described as laws include the Titius-Bode law of planetary positions, Zipf's law of linguistics, Thomas Malthus's Principle of Population or Malthusian Growth Model, Moore's law of technological growth. Other laws are pragmatic and observational, such as the law of unintended consequences.
- Epistemology and philosophy of science
- Principle of law, Philosophy of law
- Legal positivism, which states that there is no necessary relation between morality and law. Law is thus conceived as the mere product of social conventions. Legal positivism is opposed to natural law theory and to legal interpretivism.
- Scientific law
- Axioms and Theorems