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In the extreme case where the list of antecedent formulas of a sequent is empty, the consequent is unconditional. This differs from the simple unconditional assertion because the number of consequents is arbitrary, not necessarily a single consequent. Thus for example, ' ⊢ B 1, B 2 ' means that either B 1, or B 2, or both must be true.
A consequent is the second half of a hypothetical proposition. In the standard form of such a proposition, it is the part that follows "then". In an implication, if P implies Q, then P is called the antecedent and Q is called the consequent. [1] In some contexts, the consequent is called the apodosis. [2] Examples:
In propositional logic, affirming the consequent (also 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 committed when, in the context of an indicative conditional statement, it is stated that because the consequent is true, therefore the ...
Logical consequence (also entailment or implication) is a fundamental concept in logic which describes the relationship between statements that hold true when one statement logically follows from one or more statements.
A condition subsequent is a philosophical and legal term referring to a defined event which terminates a proposition or a contractual obligation. [ 1 ] [ 2 ] In contrast to a condition precedent , a condition subsequent brings the event (or obligation) to an end, rather than being necessary for to the event or obligation to occur.
Sequential analysis also has a connection to the problem of gambler's ruin that has been studied by, among others, Huygens in 1657. [12]Step detection is the process of finding abrupt changes in the mean level of a time series or signal.
Affirming the consequent – Type of fallacious argument (logical fallacy) Alignments of random points – Phenomenon in statistics; Anecdotal evidence – Evidence relying on personal testimony; Apophenia – Tendency to perceive connections between unrelated things
Yet, a full method of drawing conclusions in nature is not the scope of logic or syllogism, and the inductive method was covered in Aristotle's subsequent treatise, the Posterior Analytics. In the 19th century, modifications to syllogism were incorporated to deal with disjunctive ("A or B") and conditional ("if A then B") statements.