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Elementary Logic First Test
Flash cards for the first test in Elementary Logic.
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Undergraduate 2
09/22/2008

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Term
Logic
Definition
Defined as the science which has as its central problem the attempt to formulate principles for appraising arguments as valid or invalid.
Term
Argument
Definition
Consists of one or more propositions offered as evidence for another proposition.
Term
Proposition
Definition
A statement which can be evaluated as true or false.
Term
Premise/Premises
Definition
Proposition/propositions offered as evidence in an argument.
Term
Conclusion
Definition
The proposition for which the evidence is offered.
Term
Inductive argument
Definition
One in which it is claimed that if the premises are true, then it is PROBABLE that the conclusion is true.
Term
Deductive argument
Definition
One in which it is claimed that if the premises are true, then the conclusion MUST be true.
Term
Valid
Definition
A deductive argument is this if its premises are related to its conclusion in such a way that if the premises were true, then it would be impossible for the conclusion to be false.
Term
Invalid
Definition
A deductive argument is this if it's premises are related to its conclusion in such a way that if the premises were true, then it would e possible for the premises to be true and their conclusions false.
Term
Sound
Definition
A Valid argument in which all its premises are said to be True.
Term
Simple Propositions
Definition
Arguments which no parts are propositions.
Term
Compound Propositions
Definition
Arguments which parts are propositions.
Term
Propositional variables
Definition
letters p-z
Term
Rule of Negation
Definition
The negation of a true proposition is false, and the negation of a false proposition is true.
Term
Conjunction
Definition
A compound proposition composed of two propositions connected by the word "and".
Term
Conjunction
Definition
A compound proposition composed of two propositions connected by the word "and".
Term
Conjuncts
Definition
A conjunctions component propositions.
Term
Rule of Conjunction
Definition
A conjunction is true if and only if both of its conjuncts are true.
Term
Disjunction
Definition
A compound proposition composed of two propositions connected by the word "or".
Term
Disjuncts
Definition
A disjunctions component propositions.
Term
Rule of Disjunction
Definition
An inclusive disjunction is true if and only if at least one of its disjuncts is true.
Term
Truth Value
Definition
The truth or falsity of a proposition.
Term
Conditionals
Definition
Compound propositions in which the words "if...then" connect the component propositions. (antecedent precedes the conditional, consequent follows the conditional.)
Term
Rule of Conditionals
Definition
A conditional is false if and only if its antecedent is true and its consequent is false, otherwise it is true.
Term
Biconditional
Definition
A compound proposition in which the words "if and only if" are used to connect component propositions.
Term
Rule of Biconditionals
Definition
A biconditional is true if and only if both its components have the same truth value.
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