In logic and mathematics, necessity and sufficiency are terms used to describe a conditional or implicational relationship between two statements. For...

Biological tests of necessity and sufficiency refer to experimental methods and techniques that seek to test or provide evidence for specific kinds of...

and an associated proof method known as § Proof by contrapositive. The contrapositive of a statement has its antecedent and consequent negated and swapped...

known as converse error, fallacy of the converse, or confusion of necessity and sufficiency) is a formal fallacy (or an invalid form of argument) that is...

categorical syllogism is not distributed. Modal fallacy – confusing necessity with sufficiency. A condition X is necessary for Y if X is required for even the...

In logic, extensional and intensional definitions are two key ways in which the objects, concepts, or referents a term refers to can be defined. They...

the premises to be true and the conclusion to be false. For example, the inference from the premises "all men are mortal" and "Socrates is a man" to the...

members, known as command-like neurons, may not satisfy both the necessity and sufficiency criteria. The term command neuron first appeared in a 1964 paper...

greatly concerned with the logical statuses of propositions, e.g. necessity, contingency, and impossibility. In the twentieth century, possible worlds have...

A closed concept is a concept where all the necessary and sufficient conditions required to include something within the concept can be listed. For example...

arrangement of their terms and meanings, thus analytic statements are tautologies, merely logical truths, true by necessity. Whereas synthetic statements...

of Kripke and others (see Hilary Putnam), philosophers tend to distinguish the notion of aprioricity more clearly from that of necessity and analyticity...

location, the name for use in HTML documents, and the LaTeX symbol. The following symbols are either advanced and context-sensitive or very rarely used: Philosophy...

[citation needed] References feature in many spheres of human activity and knowledge, and the term adopts shades of meaning particular to the contexts in which...

Logical symbols representing iff   In logic and related fields such as mathematics and philosophy, "if and only if" (often shortened as "iff") is paraphrased...

judgment and decision making Metalepsis – Figure of speech Methodic school – School of medicine in ancient Greece and Rome Necessity and sufficiency – Terms...

It is a central concept in the philosophy of language, semantics, logic, and related fields. Propositions are the objects denoted by declarative sentences;...

errors in definitions that were assumed to be rigorous, and have caused axioms of mathematics and logic to be re-examined. One example is Russell's paradox...

the free dictionary. Antecedent (logic) Conjecture Necessity and sufficiency Sets, Functions and Logic - An Introduction to Abstract Mathematics, Keith...

stated in schematic terms belong to logic, and not those given in concrete terms. The concrete terms man, mortal, and so forth are analogous to the substitution...

and a few elementary rules alone. This is as opposed to non-formalists, within that field, who hold that there are some things inherently true, and are...

theories about other mathematical theories. Emphasis on metamathematics (and perhaps the creation of the term itself) owes itself to David Hilbert's attempt...

language.] Affirming the consequent Modus ponens Modus tollens Necessity and sufficiency Plausible reasoning Matthew C. Harris. "Denying the antecedent"...

(fallacy) Denying the antecedent (fallacy) Necessity and sufficiency See Conditional sentence. Sets, Functions and Logic - An Introduction to Abstract Mathematics...

mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory (also known as computability theory). Research in mathematical...

Non-classical logics (and sometimes alternative logics or non-Aristotelian logics) are formal systems that differ in a significant way from standard logical...

two conclusions, both of which seem justified. It is a term used in logic and epistemology, particularly in the philosophy of Immanuel Kant. Antinomy is...

argumentation, and narration. Fiction writing specifically has modes such as action, exposition, description, dialogue, summary, and transition. Author...

the subject of continued debate. Treating logical truths, analytic truths, and necessary truths as equivalent, logical truths can be contrasted with facts...

conditional of classical logic, combined with the necessity operator from modal logic. For any two propositions p and q, the formula p → q says that p materially...