2/TRUTH-FUNCTIONS
... Statements are either simple such as `Roses are Red’ or compound: `Aristotle is Greek and Russell is English.’ Statement connectives: and, or, if...then, if and only if. When written in symbols they may be called logical operators. s7. Truth Values [TV]: statement either affirms/denies. Hence either ...
... Statements are either simple such as `Roses are Red’ or compound: `Aristotle is Greek and Russell is English.’ Statement connectives: and, or, if...then, if and only if. When written in symbols they may be called logical operators. s7. Truth Values [TV]: statement either affirms/denies. Hence either ...
Document
... KB |= Q iff for every interpretation I, If I satisfies KB then I satisfies Q. That is, if every model of KB is also a model of Q. For example: A B, A |= B ...
... KB |= Q iff for every interpretation I, If I satisfies KB then I satisfies Q. That is, if every model of KB is also a model of Q. For example: A B, A |= B ...
POSSIBLE WORLDS SEMANTICS AND THE LIAR Reflections on a
... Now, Kaplan’s argument shows that the principle of plenitude is incompatible with assumptions commonly made in possible worlds semantics. Here is how the argument goes: (i) There is a set W of possible worlds and a set P rop of propositions. (ii) There is, for every subset X of W , a corresponding p ...
... Now, Kaplan’s argument shows that the principle of plenitude is incompatible with assumptions commonly made in possible worlds semantics. Here is how the argument goes: (i) There is a set W of possible worlds and a set P rop of propositions. (ii) There is, for every subset X of W , a corresponding p ...
Lecture 3 - CSE@IIT Delhi
... An argument is a sequence of statements. All statements but the final one are called assumptions or hypothesis. The final statement is called the conclusion. An argument is valid if: whenever all the assumptions are true, then the conclusion is true. If today is Wednesday, then yesterday was Tuesday ...
... An argument is a sequence of statements. All statements but the final one are called assumptions or hypothesis. The final statement is called the conclusion. An argument is valid if: whenever all the assumptions are true, then the conclusion is true. If today is Wednesday, then yesterday was Tuesday ...
Logic
... • Euclidean: Given a line L and a point P not on L, there is exactly one line passing through P, parallel to L. • Hyperbolic: Given a line L and a point P not on L, there are at least two lines passing through P, parallel to L. • Elliptic: Given a line L and a point P not on L, there are no lines pa ...
... • Euclidean: Given a line L and a point P not on L, there is exactly one line passing through P, parallel to L. • Hyperbolic: Given a line L and a point P not on L, there are at least two lines passing through P, parallel to L. • Elliptic: Given a line L and a point P not on L, there are no lines pa ...