Results 21 to 30 of about 16,210 (208)
The Frege–Geach Problem, Modus Ponens, and Legal Language
[full article, abstract in English; only abstract in Lithuanian] This paper proposes a new pragmatic interpretation of the Frege–Geach problem and presents a possible solution using a model of ascriptive legal language.
Vitaly Ogleznev
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Abstract Chancy modus ponens is the following inference scheme: ‘probably φ’, ‘if φ, then ψ’, therefore, ‘probably ψ’ (Yalcin 2010, Moss 2015). I argue that Chancy modus ponens is invalid in general. I further argue that the invalidity of Chancy modus ponens sheds new light on the alleged counterexample to modus ponens presented by McGee
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Resolution as intersection subtyping via Modus Ponens [PDF]
Resolution and subtyping are two common mechanisms in programming languages. Resolution is used by features such as type classes or Scala-style implicits to synthesize values automatically from contextual type information. Subtyping is commonly used to automatically convert the type of a value into another compatible type.
Koar Marntirosian +3 more
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Towards a mental probability logic
We propose probability logic as an appropriate standard of reference for evaluating human inferences. Probability logical accounts of nonmonotonic reasoning with SYSTEM P, and conditional syllogisms (MODUS PONENS, etc.) are explored.
Niki Pfeifer, Gernot D. Kleiter
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Logic of Intuitionistic Interactive Proofs (Formal Theory of Perfect Knowledge Transfer) [PDF]
We produce a decidable super-intuitionistic normal modal logic of internalised intuitionistic (and thus disjunctive and monotonic) interactive proofs (LIiP) from an existing classical counterpart of classical monotonic non-disjunctive interactive proofs (
Kramer, Simon
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Generic Modal Cut Elimination Applied to Conditional Logics [PDF]
We develop a general criterion for cut elimination in sequent calculi for propositional modal logics, which rests on absorption of cut, contraction, weakening and inversion by the purely modal part of the rule system. Our criterion applies also to a wide
Dirk Pattinson, Lutz Schröder
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Fully implicational methods for interval-valued fuzzy reasoning with multi-antecedent rules [PDF]
Based on the fully implicational idea, we investigate the interval-valued fuzzy reasoning with multiantecedent rules. First, we construct a class of interval-valued fuzzy implications by means of a type of implications and a parameter on the unit ...
Hua-Wen Liu, Cheng Li
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On the Adoption Problem and Meta-Logical Monism
According to the Adoption Problem (AP) certain basic logical principles cannot be adopted. Drawing on the AP, Suki Finn presents an argument against logical pluralism: Modus Ponens (MP) and Universal Instantiation (UI) both govern a general structure ...
Mauro Santelli +2 more
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Subset models for justification logic [PDF]
We introduce a new semantics for justification logic based on subset relations. Instead of using the established and more symbolic interpretation of justifications, we model justifications as sets of possible worlds.
Lehmann, Eveline, Studer, Thomas
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Revisiting McGee’s Counterexample to Modus Ponens
In this paper, we provide a novel explanation of McGee’s (1985) alleged counterexample to Modus Ponens for indicative conditionals. Our strategy is to show that pragmatic phenomena interfere with intuitions concerning the acceptability of the inference ...
Nicolás Lo Guercio, Mariela Rubin
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