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  2. Principle - Wikipedia

    en.wikipedia.org/wiki/Principle

    Archimedes principle, relating buoyancy to the weight of displaced water, is an early example of a law in science. Another early one developed by Malthus is the population principle, now called the Malthusian principle. [8] Freud also wrote on principles, especially the reality principle necessary to keep the id and pleasure principle in check.

  3. Clear statement rule - Wikipedia

    en.wikipedia.org/wiki/Clear_statement_rule

    According to Professor Popkin, Chief Justice John Marshall imposed a clear statement rule: "where fundamental values were at stake, statutes would not be interpreted to impair such values, absent a clear statement in the legislation.” [2] Indeed, Marshall wrote in 1805 that "Where fundamental principles are overthrown, when the general system ...

  4. Statement (logic) - Wikipedia

    en.wikipedia.org/wiki/Statement_(logic)

    The fifth and sixth examples are meaningful declarative sentences, but are not statements but rather matters of opinion or taste. Whether or not the sentence "Pegasus exists." is a statement is a subject of debate among philosophers. Bertrand Russell held that it is a (false) statement. [citation needed] Strawson held it is not a statement at all.

  5. First principle - Wikipedia

    en.wikipedia.org/wiki/First_principle

    In philosophy and science, a first principle is a basic proposition or assumption that cannot be deduced from any other proposition or assumption. First principles in philosophy are from first cause [ 1 ] attitudes and taught by Aristotelians , and nuanced versions of first principles are referred to as postulates by Kantians .

  6. Falsifiability - Wikipedia

    en.wikipedia.org/wiki/Falsifiability

    A dogmatic falsificationist ignores that every observation is theory-impregnated. Being theory-impregnated means that it goes beyond direct experience. For example, the statement "Here is a glass of water" goes beyond experience, because the concepts of glass and water "denote physical bodies which exhibit a certain law-like behaviour" (Popper ...

  7. Mathematical proof - Wikipedia

    en.wikipedia.org/wiki/Mathematical_proof

    The definition of a formal proof is intended to capture the concept of proofs as written in the practice of mathematics. The soundness of this definition amounts to the belief that a published proof can, in principle, be converted into a formal proof. However, outside the field of automated proof assistants, this is rarely done in practice.

  8. Principle of bivalence - Wikipedia

    en.wikipedia.org/wiki/Principle_of_bivalence

    A famous example [2] is the contingent sea battle case found in Aristotle's work, De Interpretatione, chapter 9: Imagine P refers to the statement "There will be a sea battle tomorrow." The principle of bivalence here asserts: Either it is true that there will be a sea battle tomorrow, or it is false that there will be a sea battle tomorrow.

  9. Logical truth - Wikipedia

    en.wikipedia.org/wiki/Logical_truth

    Logical constants determine whether a statement is a logical truth when they are combined with a language that limits its meaning. Therefore, until it is determined how to make a distinction between all logical constants regardless of their language, it is impossible to know the complete truth of a statement or argument.