1. 原理 定律 定義 理論 學說 有什麼不同?
1. 原理 定律 定義 理論 學說 有什麼不同
2. What are the differences among definition, theorem, axiom, principle, and a law?
- 1 decade agoFavorite Answer
簡單的說 (comes from me, don't take too serious...)
給某項東西(事物)意義, 或對其性質完整周延的說明, 當然我們還要去檢驗是否良好定義 (well-defined)
The meanings and explanations of terms come from Wikipedia...
A definition may be a statement of the essential properties of a certain thing, or a statement of equivalence between a term and that term's meaning. The two are not mutually exclusive, nor are they equivalent.
A theorem is a proposition that has been or is to be proved on the basis of explicit assumptions. Proving theorems is a central activity of mathematicians. Note that "theorem" is distinct from "theory".
In various sciences, a theory is a logically self-consistent model or framework describing the behavior of a certain natural or social phenomenon, thus either originating from observable facts or supported by them. Scientific theories are formulated, developed, and evaluated according to the scientific method.
In physics, the term theory is generally used for a mathematical framework derived from a small set of basic principles, capable of producing experimental predictions for a given category of physical systems. An example is "electromagnetic theory", which is usually taken to be synonymous with classical electromagnetism, the specific results of which can be derived from Maxwell's equations.
公理 (AXIOM) -- 源自希臘文axioma，原意是「有價值的思想」。
In epistemology, an axiom is a self-evident truth upon which other knowledge must rest, from which other knowledge is built up. Not all epistemologists agree that any axioms, understood in that sense, exist.
In mathematics, an axiom is not necessarily a self-evident truth but rather, a formal logical expression used in a deduction to yield further results. Mathematics distinguishes two types of axioms: logical axioms and non-logical axioms.
A principle is something, usually a rule or norm, that is part of the basis for something else. For example, the ethics of someone may be seen as a set of principles that the individual obeys. These principles form the basis for their ethics.
Principles may also be introduced as pedagogy: laying down basics in a topic, in order later to proceed to more detailed developments.
Identifying or defining a rule as a principle says that, for the purpose at hand, the principle will not be questioned or further derived. This is a convenient way of reducing the complexity of an argumentation.
A physical law or a law of nature is a scientific generalization based on empirical observations. Laws of nature are conclusions drawn from, or hypotheses confirmed by scientific experiments. The production of a summary description of nature in the form of such laws is the fundamental aim of science. Laws of nature are distinct from legal code and religious Law, and should not be confused with the concept of natural law.Source(s): wikipedia and me
- Anonymous1 decade ago