modus ponens oor Sjinees
modus ponens
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(philosophy, logic) A valid form of argument in which the antecedent of a conditional proposition is affirmed, thereby entailing the affirmation of the consequent. Modus ponens has the form:
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肯定前件
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if X implies Y, and X is true, then Y is true
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Indeed, after the application of modus ponens, nothing is left but the conclusion, the rest disappears forever.
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Hence RA is, in effect, a way of algebraizing nearly all mathematics, while dispensing with FOL and its connectives, quantifiers, turnstiles, and modus ponens.
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On the other hand, DT is so useful for simplifying the syntactical proof process that it can be considered and used as another inference rule, accompanying modus ponens.
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During the conversion, it may be useful to put all the applications of modus ponens to axiom 1 at the beginning of the deduction (right after the H→H step).
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Contemporary theories often specify as their first axiom the classical or modus ponens or "the rule of detachment": A, A ⊃ B │ B The symbol "│" is usually written as a horizontal line, here "⊃" means "implies".
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It should not be necessary to do both of these, unless the modus ponens step is the conclusion, because if both are outside the scope, then the modus ponens should have been moved up before H and thus be outside the scope also.
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Combining their strengths and shortcomings, and the examples of Hetu-vidya reasoning, we can conclude that the three-form reasoning should have four forms: (1) the affirmative expression of formal implication; (2) the modus ponens of hypothetical reasoning concerning sufficient conditions after universal instantiation; (3) the negative expression of a formal implication; and (4) the modus tollens of hypothetical reasoning concerning sufficient conditions after universal instantiation.
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We can then detach the conclusion, β , via the modus ponens rule.
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This is the modus ponens rule of propositional logic .
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Since the antecedent here is just S , we can detach the consequent using Modus Ponens:
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This argument is valid, but this has no bearing on whether any of the statements in the argument are true ; for modus ponens to be a sound argument, the premises must be true for any true instances of the conclusion.
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Rule of inference, detachment, modus ponens : The rule that allows the theory to "detach" a "conclusion" from the "premises" that led up to it, and thereafter to discard the "premises" (symbols to the left of the line │, or symbols above the line if horizontal).
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12 sinne gevind in 6 ms. Hulle kom uit baie bronne en word nie nagegaan nie.