Propositional Logic
... § If P is False, regardless of Q, P ⇒ Q is True § No causality needed: “5 is odd implies the Sun is a star” is True ...
... § If P is False, regardless of Q, P ⇒ Q is True § No causality needed: “5 is odd implies the Sun is a star” is True ...
FC §1.1, §1.2 - Mypage at Indiana University
... with which we began this chapter. Logical deduction will be a major topic of this chapter; under the name of proof , it will be the last major topic of this chapter, and a major tool for the rest of this book. ...
... with which we began this chapter. Logical deduction will be a major topic of this chapter; under the name of proof , it will be the last major topic of this chapter, and a major tool for the rest of this book. ...
INTERMEDIATE LOGIC – Glossary of key terms
... A rule of digital logic that can be used to simplify a proposition (see Appendix D). AND gate Lesson 32, page 266 A logic gate that performs the logical operation conjunction. Antecedent Lesson 4, page 27 In a conditional if p then q, the antecedent is the proposition represented by the p. Argument ...
... A rule of digital logic that can be used to simplify a proposition (see Appendix D). AND gate Lesson 32, page 266 A logic gate that performs the logical operation conjunction. Antecedent Lesson 4, page 27 In a conditional if p then q, the antecedent is the proposition represented by the p. Argument ...
What is "formal logic"?
... memory and so on. During many years the neo-Kantian paradigm of antipsychologism promoted in particular by Frege has dominated the research in logic. Maybe for this reason, works developed by people like Piaget, were not taken seriously in account by logicians. But it seems that nowadays, through th ...
... memory and so on. During many years the neo-Kantian paradigm of antipsychologism promoted in particular by Frege has dominated the research in logic. Maybe for this reason, works developed by people like Piaget, were not taken seriously in account by logicians. But it seems that nowadays, through th ...
Complexity of Recursive Normal Default Logic 1. Introduction
... propositional logic nonmonotonic formalisms, the basic results are found in [BF91, MT91, Got92, Van89]. In case of formalisms admitting variables and, more generally, infinite recursive propositional nonmonotonic formalisms, a number of results has been found. These include basic complexity results ...
... propositional logic nonmonotonic formalisms, the basic results are found in [BF91, MT91, Got92, Van89]. In case of formalisms admitting variables and, more generally, infinite recursive propositional nonmonotonic formalisms, a number of results has been found. These include basic complexity results ...
Symbolic Logic I: The Propositional Calculus
... 2.3. Conjunction. Since P ∧ Q asserts both P and Q, we have tv(P ∧ Q) = 1 when both tv(P ) = 1 and tv(Q) = 1, but tv(P ∧ Q) = 0 otherwise. That is, tv(P ∧ Q) = 0 whenever at least one of tv(P ) = 0 or tv(Q) = 0 and only then. 2.4. Disjunction. By definition, P ∨ Q affirms at least one of the stateme ...
... 2.3. Conjunction. Since P ∧ Q asserts both P and Q, we have tv(P ∧ Q) = 1 when both tv(P ) = 1 and tv(Q) = 1, but tv(P ∧ Q) = 0 otherwise. That is, tv(P ∧ Q) = 0 whenever at least one of tv(P ) = 0 or tv(Q) = 0 and only then. 2.4. Disjunction. By definition, P ∨ Q affirms at least one of the stateme ...
i Preface
... computable, otherwise our insights would, in the relevant sense, be the output of an algorithm (viz. the algorithm which specifies the dynamics of the physics of the brain). There are obviously lots of lacunae in this argument, and the foregoing sketch is only the barest skeleton of the complete def ...
... computable, otherwise our insights would, in the relevant sense, be the output of an algorithm (viz. the algorithm which specifies the dynamics of the physics of the brain). There are obviously lots of lacunae in this argument, and the foregoing sketch is only the barest skeleton of the complete def ...
doc
... (a) Explain what it means to say that a sentence in the predicate calculus is semantically true. Also state what it means for a sequent to be semantically valid in predicate logic. A sentence in the predicate calculus is semantically true iff the sentence is true in very interpretation of the predic ...
... (a) Explain what it means to say that a sentence in the predicate calculus is semantically true. Also state what it means for a sequent to be semantically valid in predicate logic. A sentence in the predicate calculus is semantically true iff the sentence is true in very interpretation of the predic ...
Probability Logic
... are on a par. When the sets of values are subintervals of [0,1] there is a decision procedure for determining whether or not a logical consequence relation holds. / The true-false logic of propositions Although the true-false logic of propositions is obviously well-known, we nevertheless wish to ske ...
... are on a par. When the sets of values are subintervals of [0,1] there is a decision procedure for determining whether or not a logical consequence relation holds. / The true-false logic of propositions Although the true-false logic of propositions is obviously well-known, we nevertheless wish to ske ...
Braun Defended
... propositions (10) and (11) differ and hence differ in truth-value. This objection, however, ignores the distinction between the proposition expressed by a sentence, its assertoric content, and what contribution a sentence makes to complex sentences of which it is a part, its ingredient sense. If we ...
... propositions (10) and (11) differ and hence differ in truth-value. This objection, however, ignores the distinction between the proposition expressed by a sentence, its assertoric content, and what contribution a sentence makes to complex sentences of which it is a part, its ingredient sense. If we ...
Document
... The more fruitful type of definition is a matter of drawing boundary lines that were not previously given at all. What we shall be able to infer from it, cannot be inspected in advance; here, we are not simply taking out of the box again what we have just put into it. The conclusions we draw from i ...
... The more fruitful type of definition is a matter of drawing boundary lines that were not previously given at all. What we shall be able to infer from it, cannot be inspected in advance; here, we are not simply taking out of the box again what we have just put into it. The conclusions we draw from i ...
CSE 20 - Lecture 14: Logic and Proof Techniques
... Negating a sentence: iclicker What is the negation of the sentence: “There is an university in USA where every department has at least 20 faculty and at least one noble laureate.” There is an university in USA where every department has less than 20 faculty and at least one noble laureate. All univ ...
... Negating a sentence: iclicker What is the negation of the sentence: “There is an university in USA where every department has at least 20 faculty and at least one noble laureate.” There is an university in USA where every department has less than 20 faculty and at least one noble laureate. All univ ...
