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Logic 110
Final Exam Term Review
30
Philosophy
Undergraduate 2
12/06/2010

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Term
Explanation (explanans & explanadum)
Definition
An expression that claims to shed light on some event or phenomena

explanans - the statements that purport to do the explaining

explanadum - the statement that describes the event or phenomena to be explained
Term
Conditional Statement
Definition
An "If... then..." statement that is composed of 2 parts - antecedent and consequent

antecedent - the statement that comes immediately after the "if"

consequent - the statement that comes immediately after "then"
Term
Deductive Argument
Definition
An argument is deductive (iff) it incorporates the claim that it is impossible for the conclusion to be false given that the premises are true. Involves logical necessity (necessary reasoning).
Term
Inductive Argument
Definition
An argument is inductive (iff) it incorporates the claim that it is improbable for the conclusion to be false give that the premises are true. Involve logical probability (probabilistic reasoning).
Term
Argument Based on Mathematics (I or D?)
Definition
A type of deductive argument whose conclusion depends on some purely arithmetic or geometric computation or measurement.
Term
Argument from definition (I or D?)
Definition
A type of deductive argument where the conclusion is claimed to depend merely on the definition of some word or phrase used in the premise or conclusion
Term
Categorical Syllogism (I or D?)
Definition
A syllogism in which each statement begins with one of the words "all," "some," or "no."
Term
Hypothetical Syllogism (I or D?)
Definition
Pa: If p, then q
Pb: If q, then r
C: If p, then r
Term
Modus Ponens (I or D?)
Definition
Pa: If p, then q
Pb: p
C: q
Term
Modus Tollens (I or D?)
Definition
Pa: If p, then q
Pb: not q
C: not p
Term
Denying the Antecedent (I or D?)
Definition
Pa: If p, then q
Pb: not p
C: not q
Term
Affirming the Consequent (I or D?)
Definition
Pa: If p, then q
Pb: q
C: p
Term
Disjunctive Syllogism (I or D?)
Definition
Pa: Either p or q | Either p or q
Pb: not p | not q
C: q | p
Term
Constructive Dilemma (I or D?)
Definition
Pa: If p, then q
Pb: If r, then s
Pc: Either p or r
C: Either q or s
Term
Destructive Dilemma (I or D?)
Definition
Pa: If p, then q
Pb: If r, then s
Pc: Either not q or not s
C: Either not p or not r
Term
Prediction (I or D?)
Definition
An type of inductive argument that proceeds from knowledge about the past to make a claim about the future
Term
Argument from Analogy (I or D?)
Definition
An inductive argument that depends on the existence of an analogy, or similarity between two things or states of affairs
Term
Inductive Generalization (I or D?)
Definition
An inductive argument that proceeds from the knowledge of a selected sample to make a claim about the whole group.
Term
Argument from Authority (I or D?)
Definition
An inductive argument that concludes something is true because a presumed expert or eyewitness said that it is.
Term
Argument Based on Signs (I or D?)
Definition
An inductive argument that proceeds from the knowledge of a sign to make a claim about the thing or situation that the sign symbolizes.
Term
Causal Inference (I or D?)
Definition
An inductive argument that proceeds from the knowledge of a cause a claim about an effect, or that proceeds from knowledge of an effect to a claim about a cause
Term
Valid Deductive Argument
Definition
A deductive argument is valid (iff) it is impossible for the conclusion to be false given that the premises are true; the conclusion follows from the premises with logical necessity
Term
Invalid Deductive Argument
Definition
A deductive argument is invalid (iff)it is possible for the conclusion to be false given that the premises are true
Term
Sound argument (I or D?)
Definition
An argument is sound (iff) it is a valid deductive argument with all true premises and a true conclusion
Term
Strong Inductive Argument
Definition
An inductive argument is strong (iff) it is improbable for the conclusion to be false given that the premises are true
Term
Weak Inductive Argument
Definition
An inductive argument in which it is possible that the conclusion be false given that the premises are true; the conclusion does not follow probably from the premises
Term
Cogent Argument (I or D?)
Definition
An argument is cogent (iff) it is an inductive argument that is both strong and possesses all true premises
Term
Argument Form
Definition
Results from replacing the different words or sentences that make up an argument with logical variables; it is the sole determinant of validity.
Term
Substitution Instance
Definition
An argument that is produced by uniformly substituting terms or statements in place of the letters in an argument form
Term
Counterexample
Definition
A substitution instance that has all true premises and a false conclusion; is used to prove argument forms and hence, the argument itself invalid
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