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What is Modus Ponens rule? öğrenmeye başla
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if this then that or " if X then Y" is true and "X" is true => so "Y " must be true
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öğrenmeye başla
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A declarative statement that is either true or false but not both.
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öğrenmeye başla
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what are the propositional variables? öğrenmeye başla
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Each propositional variable has one of two truth values: true or false
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what is a compound statment? öğrenmeye başla
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A compound statement is a sentence that consists of two or more statements separated by logical connectors.
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what is the negation (not) connective symbol? öğrenmeye başla
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what is the conjunction (and) connective symbol? öğrenmeye başla
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What is the disjunction (or) connective symbol) öğrenmeye başla
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what is the connective symbol for implication (if-then) öğrenmeye başla
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What is the biconditional (if and only if) connective symbol? öğrenmeye başla
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what order are connective symbols considered in? öğrenmeye başla
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1) brackets, 2) negation, 3) conjunction dissjunctive, 4) implication bicnditional
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what is a tautology statement? öğrenmeye başla
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true for all possible values of its propositional variables is called a tautolog
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what is a contradiction statment öğrenmeye başla
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false for all possible values of its propositional variables is called a contradiction
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what is the symbol for logical equivalence? öğrenmeye başla
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define logical equivalent öğrenmeye başla
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Two statements are said to be logically equivalent,≡, if they have identical truth values for each possible value of their statement variables. (Corresponds to = with numbers)
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öğrenmeye başla
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refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is "ab = ba"; in numbers, this means 2×3 = 3×2.
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öğrenmeye başla
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"multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, for example, that 2(3 + 4) = 2×3 + 2×4.
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öğrenmeye başla
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The complement of the union of two sets is equal to the intersection of their complements and the complement of the intersection of two sets is equal to the union of their complements.
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conditional statement consists of two parts, a hypothesis the “if” clause and conclusion the “then” clause. For instance “If it rains, then they cancel school.” "It rains" is the hypothesis. "They cancel school" is the conclusion. what is the converse? öğrenmeye başla
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To form the converse of the conditional statement, interchange the hypothesis and the conclusion. The converse of "If it rains, then they cancel school" is "If they cancel school, then it rains."
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conditional statement consists of two parts, a hypothesis the “if” clause and a conclusion the “then” clause. For instance, “If it rains, then they cancel school.” "It rains" is the hypothesis. "They cancel school" is the conclusion. what is the inverse öğrenmeye başla
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To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion. The inverse of “If it rains, then they cancel school” is “If it does not rain, then they do not cancel school.”
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öğrenmeye başla
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To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement. The contrapositive of "If it rains, then they cancel school" is "If they do not cancel school, then it does not rain
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define sufficient condition öğrenmeye başla
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a condition that must be satisfied for a statement to be true and without which the statement cannot be true
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define necessary condition öğrenmeye başla
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a condition that must be present for an event to occur. A sufficient condition is a condition(s) that will produce the event. A necessary condition must be there, but it alone does not provide sufficient cause for the occurrence of the event.
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