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Constructive proof. In mathematics, a constructive proof is a method of proof that demonstrates the existence of a mathematical object by creating or providing a method for creating the object. This is in contrast to a non-constructive proof (also known as an existence proof or pure existence theorem), which proves the existence of a particular ...
Existential generalization / instantiation. Constructive dilemma[1][2][3] is a valid rule of inference of propositional logic. It is the inference that, if P implies Q and R implies S and either P or R is true, then either Q or S has to be true. In sum, if two conditionals are true and at least one of their antecedents is, then at least one of ...
Informal logic encompasses the principles of logic and logical thought outside of a formal setting (characterized by the usage of particular statements). However, the precise definition of "informal logic" is a matter of some dispute. [1] Ralph H. Johnson and J. Anthony Blair define informal logic as "a branch of logic whose task is to develop ...
Intuitionistic logic, sometimes more generally called constructive logic, refers to systems of symbolic logic that differ from the systems used for classical logic by more closely mirroring the notion of constructive proof. In particular, systems of intuitionistic logic do not assume the law of the excluded middle and double negation ...
The P versus NP problem is a major unsolved problem in theoretical computer science. Informally, it asks whether every problem whose solution can be quickly verified can also be quickly solved. Here, quickly means an algorithm that solves the task and runs in polynomial time exists, meaning the task completion time is bounded above by a ...
Forum non conveniens (Latin for "an inconvenient forum" [1][2][3]) (FNC) is a mostly common law legal doctrine through which a court acknowledges that another forum or court where the case might have been brought is a more appropriate venue for a legal case, and transfers the case to such a forum. A change of venue might be ordered, for example ...
Principle of explosion. In classical logic, intuitionistic logic, and similar logical systems, the principle of explosion[a][b] is the law according to which any statement can be proven from a contradiction. [1][2][3] That is, from a contradiction, any proposition (including its negation) can be inferred; this is known as deductive explosion ...
Legal writing. Legal writing involves the analysis of fact patterns and presentation of arguments in documents such as legal memoranda and briefs. [1] One form of legal writing involves drafting a balanced analysis of a legal problem or issue. Another form of legal writing is persuasive, and advocates in favor of a legal position.