What does material conditional mean?
Definitions for material conditional
ma·te·ri·al con·di·tion·al
This dictionary definitions page includes all the possible meanings, example usage and translations of the word material conditional.
Wiktionary
material conditionalnoun
A conditional statement in the indicative mood.
Wikipedia
Material conditional
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. Material implication can also be characterized inferentially by modus ponens, modus tollens, conditional proof, and classical reductio ad absurdum.Material implication is used in all the basic systems of classical logic as well as some nonclassical logics. It is assumed as a model of correct conditional reasoning within mathematics and serves as the basis for commands in many programming languages. However, many logics replace material implication with other operators such as the strict conditional and the variably strict conditional. Due to the paradoxes of material implication and related problems, material implication is not generally considered a viable analysis of conditional sentences in natural language.
Wikidata
Material conditional
The material conditional is a logical connective that is often symbolized by a forward arrow “→”. The material conditional is used to form statements of the form “p→q” which is read as "if p then q" and conventionally compared to the English construction "If...then...". But unlike as the English construction may, the conditional statment “p→q” does not specify a causal relationship between p and q and is to be understood to mean "if p is true, then q is also true" such that the statement “p→q” is false only when p is true and q is false. The material conditional is also to be distinguished from logical consequence. The material conditional is also symbolized using: ⁕; ⁕ With respect to the material conditionals above, p is termed the antecedent, and q the consequent of the conditional. Conditional statements may be nested such that either or both of the antecedent or the consequent may themselves be conditional statments. In the example “ → ” both the antecedent and the conseuquent are conditional statments.
Numerology
Chaldean Numerology
The numerical value of material conditional in Chaldean Numerology is: 8
Pythagorean Numerology
The numerical value of material conditional in Pythagorean Numerology is: 6
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"material conditional." Definitions.net. STANDS4 LLC, 2024. Web. 27 Apr. 2024. <https://www.definitions.net/definition/material+conditional>.
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