Logic Review
... Premise: Either Fred took the train or he took the ferry. Premise 2: Fred did not take the ferry. Conclusion: Fred took the train. Premise: Either A or B. Premise: not B Conclusion: A ...
... Premise: Either Fred took the train or he took the ferry. Premise 2: Fred did not take the ferry. Conclusion: Fred took the train. Premise: Either A or B. Premise: not B Conclusion: A ...
Non-classical metatheory for non-classical logics
... classically, a classical metatheory would be ill equipped to formulate a faithful model theory. Let us now elaborate on this point. As a metalanguage in which to formulate a faithful model theory, classical set theory has two limitations. We have noted already that it is limited to interpretations i ...
... classically, a classical metatheory would be ill equipped to formulate a faithful model theory. Let us now elaborate on this point. As a metalanguage in which to formulate a faithful model theory, classical set theory has two limitations. We have noted already that it is limited to interpretations i ...
deductive system
... Given a language L, two deductive systems D1 and D2 are deductively equivalent if any theorem deducible from one system is deducible from another. In other words, `D1 A iff `D2 A. There is also a stronger notion of deductive equivalence: D1 is (strongly) deductively equivalent to D2 exactly when ∆ ` ...
... Given a language L, two deductive systems D1 and D2 are deductively equivalent if any theorem deducible from one system is deducible from another. In other words, `D1 A iff `D2 A. There is also a stronger notion of deductive equivalence: D1 is (strongly) deductively equivalent to D2 exactly when ∆ ` ...
Propositional Logic
... interpretations, no matter what the world is actually like or what the semantics is. Example: “It’s raining or it’s not raining.” • An inconsistent sentence or contradiction is a sentence that is False under all interpretations. The world is never like what it describes, as in “It’s raining and it's ...
... interpretations, no matter what the world is actually like or what the semantics is. Example: “It’s raining or it’s not raining.” • An inconsistent sentence or contradiction is a sentence that is False under all interpretations. The world is never like what it describes, as in “It’s raining and it's ...
the theory of form logic - University College Freiburg
... we could swap the predicates salva congruitate. Exchange of the ‘predicates’, however, would result in meaningless strings of signs and therefore violate the conditions on a proper symbolism. In a Wittgensteinian Begriffsschrift, as we might call a system which respects Wittgenstein’s demands, all w ...
... we could swap the predicates salva congruitate. Exchange of the ‘predicates’, however, would result in meaningless strings of signs and therefore violate the conditions on a proper symbolism. In a Wittgensteinian Begriffsschrift, as we might call a system which respects Wittgenstein’s demands, all w ...
