Results 171 to 180 of about 16,210 (208)
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Linguistic hedges and the generalized modus ponens

International Journal of Intelligent Systems, 1999
Summary: A modification of the generalized modus ponens is presented, namely, rule: if \(X\) is \(bB\) then \(Y\) is \(cC\); fact: \(X\) is \(aB\), conclusion: \(Y\) is \(dC\) where \(a\), \(b\), \(c\), \(e\), and \(d\) are linguistic hedges, and \(B\), \(C\) are fuzzy sets.
Luigi Di Lascio   +2 more
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An improvement on the discrepancy in the implementation of modus ponens

Information Sciences, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seok Yoon Hwang   +2 more
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Modus Ponens Defended

Journal of Philosophy, 2015
Is modus ponens for the indicative conditional valid? McGee [1985] famously presents several alleged ‘counterexamples’ to this rule of inference. More recently, Kolodny and MacFarlane [2010] and Willer [2010] argue that this rule is unreliable in some hypothetical contexts.
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Validity Under Assumptions and Modus Ponens

2021
Slightly altering and extending McGee’s semantics for conditionals, we define a ternary notion of validity for natural language arguments, which can be regarded as a unification of two kinds of validity in the literature. By the new notion of validity, an inference is not just valid or invalid, but valid or invalid under a set of assumptions.
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Modus ponens

2020
Questo articolo discute vari tentativi di esibire controesempi al modus ponens. In apertura, si chiarisce cosa significhi esibire un controesempio a un principio logico. Nel resto dell’articolo si considerano tre tipologie di attacco al modus ponens: (i) i controesempi di McGee la cui premessa maggiore consiste di condizionali iterati (ii) i ...
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Modus Ponens, Modus Tollens, and Likeness

1998
Modus Ponens (MP) and Modus Tollens (MT) are taught as basic rules of inference related to conditional statements in introductory logic courses. In ordinary reasoning, MP and MT can have important roles in modes of argumentation. However, one can also distinguish counter-examples to such reasoning patterns when considered as ‘strictly’ valid rules (i.e.
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On weakening the Deduction Theorem and strengthening Modus Ponens

Mathematical Logic Quarterly, 2004
AbstractThis paper studies, with techniques of Abstract Algebraic Logic, the effects of putting a bound on the cardinality of the set of side formulas in the Deduction Theorem, viewed as a Gentzen‐style rule, and of adding additional assumptions inside the formulas present in Modus Ponens, viewed as a Hilbert‐style rule.
Félix Bou   +2 more
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On a Generalization of the Modus Ponens: U-conditionality

2016
In fuzzy logic, the Modus Ponens property for fuzzy implication functions is usually considered with respect to a continuous t-norm T and for this reason this property is also known under the name of T-conditionality. In this paper, the t-norm T is substituted by a uninorm U leading to the property of U-conditionality.
Margarita Mas   +3 more
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Modified modus ponens and modal logic

Kybernetika, 2021
Summary: This paper discusses an inference rule called modified modus ponens, which is used in the logical system LPC+Ch which is first-order (or lower) predicate calculus equipped with additional axiomatization of modifier operators. This forms a system like a generalized modal system with several pairs of modal operators.
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On a Supposed Counterexample to Modus Ponens

The Journal of Philosophy, 1999
Critique du pretendu contre-exemple que V. McGee oppose a la regle du ponens en affirmant que celle-ci s'applique aux propositions conditionnelles mais non a leurs consequences conditionnelles. Soulignant l'invalidite de la loi d'exportation sur laquelle s'appuie l'argumentation de McGee, l'A.
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