Everything is Knowable - Computer Science Intranet
... These proofs have gone around in the community. Hintikka (1962, p. 69) already mentions both and it also reappears in the recent literature, e.g., it is mentioned again by Linsky in Salerno’s knowability volume (2009, p. 165). Our experience is that people seem unaware of proofs not based on the ess ...
... These proofs have gone around in the community. Hintikka (1962, p. 69) already mentions both and it also reappears in the recent literature, e.g., it is mentioned again by Linsky in Salerno’s knowability volume (2009, p. 165). Our experience is that people seem unaware of proofs not based on the ess ...
the common rules of binary connectives are finitely based
... τ (p, q, r, s) = qq 2 (s2 s2 )p3 r3 (qq 2 (s2 s2 )p3 )3 as is shown by straight-forward calculation. Theorem 2. If `1 , . . . , `n are independent and f.b. then `1 ∩ . . . ∩ `n is f.b. Example 2. As is well known, |=→ , |=← , |=↔ , |=↑ are f.b. Since these logics are independent according to the abo ...
... τ (p, q, r, s) = qq 2 (s2 s2 )p3 r3 (qq 2 (s2 s2 )p3 )3 as is shown by straight-forward calculation. Theorem 2. If `1 , . . . , `n are independent and f.b. then `1 ∩ . . . ∩ `n is f.b. Example 2. As is well known, |=→ , |=← , |=↔ , |=↑ are f.b. Since these logics are independent according to the abo ...
Introduction to Modal and Temporal Logic
... is impossible by its definition. Else pick any v ∈ W with wRv. By IH, either ϑ(v, ψ) = t or else ϑ(v, ψ) = f since ψ is smaller than ϕ. Either all R-successors of w make ψ false, or else at least one of them makes ψ true. Hence, either ϑ(w, hiψ) = f or else ϑ(w, hiψ) = t. Introduction to Modal and T ...
... is impossible by its definition. Else pick any v ∈ W with wRv. By IH, either ϑ(v, ψ) = t or else ϑ(v, ψ) = f since ψ is smaller than ϕ. Either all R-successors of w make ψ false, or else at least one of them makes ψ true. Hence, either ϑ(w, hiψ) = f or else ϑ(w, hiψ) = t. Introduction to Modal and T ...
page 3 A CONVERSE BARCAN FORMULA IN ARISTOTLE`S
... axioms expressing laws of identity in his construction of syllogistic as a deductive system. ...
... axioms expressing laws of identity in his construction of syllogistic as a deductive system. ...
Propositional and predicate logic - Computing Science
... Introduction What is logic? Why is logic used in Artificial Intelligence? How to use logical operators How to translate an English statement with logic notations Let’s recall complex truth tables Let’s recall tautology and contradictory How to use equivalent propositions How to logically use proposi ...
... Introduction What is logic? Why is logic used in Artificial Intelligence? How to use logical operators How to translate an English statement with logic notations Let’s recall complex truth tables Let’s recall tautology and contradictory How to use equivalent propositions How to logically use proposi ...
Propositional/First
... under all 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 rainin ...
... under all 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 rainin ...