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In propositional logic, material implication [1] [2] is a valid rule of replacement that allows a conditional statement to be replaced by a disjunction in which the antecedent is negated. The rule states that P implies Q is logically equivalent to not- P {\displaystyle P} or Q {\displaystyle Q} and that either form can replace the other in ...
The material conditional (also known as material implication) is an operation commonly used in logic. When the conditional symbol → {\displaystyle \rightarrow } is interpreted as material implication, a formula P → Q {\displaystyle P\rightarrow Q} is true unless P {\displaystyle P} is true and Q {\displaystyle Q} is false.
It is the negation of material implication. That is to say that for any two propositions P {\displaystyle P} and Q {\displaystyle Q} , the material nonimplication from P {\displaystyle P} to Q {\displaystyle Q} is true if and only if the negation of the material implication from P {\displaystyle P} to Q {\displaystyle Q} is true.
14, OR, Logical disjunction; 15, true, Tautology. Each logic operator can be used in an assertion about variables and operations, showing a basic rule of inference. Examples: The column-14 operator (OR), shows Addition rule: when p=T (the hypothesis selects the first two lines of the table), we see (at column-14) that p∨q=T.
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Urdu literature (Urdu: ادبیاتِ اُردُو, “Adbiyāt-i Urdū”) comprises the literary works, written in the Urdu language.While it tends to be dominated by poetry, especially the verse forms of the ghazal (غزل) and nazm (نظم), it has expanded into other styles of writing, including that of the short story, or afsana (افسانہ).
In logic, a strict conditional (symbol: , or ⥽) is a conditional governed by a modal operator, that is, a logical connective of modal logic.It is logically equivalent to the material conditional of classical logic, combined with the necessity operator from modal logic.
Literature written in Hindi-Urdu was not common prior to the 1700s. [14] In North India, rich literary cultures existed in Awadhi and Brajbhasha, with earliest Awadhi texts dating to the 14th century. [15] In Delhi, poets wrote in Persian, while Rekhta/Hindvi (what is now recognizable as Hindi-Urdu) did not have the same literary recognition. [16]