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28 Cards in this Set

  • Front
  • Back

deductive argument

if and only if the conclusion is claimed to follow premises with logical necessity

Argument

a group of statements where one of the statements is claimed and supported by the others

inductive argument

if and only if the conclusion is claimed to follow premises with logical probability

deductive - argument based on math

an argument where math is used but NOT statistics

deductive - argument from definition

an argument where the conclusion is made from a words definition

deductive - categorical syllogism

all, no, or some

deductive - hypothetical syllogism

P1: if p, then q


P2: if q, then r


C: if p, then r

deductive - modus ponens

P1: if p, then q


P2: p


C: q

deductive - modus tollens

P1: if p, then q


P2: not q


C: not p

Deductive - denying the antecedent

P1: If p, then q


P2: not p


C: not q

Deductive - affirming the consequent

P1: If p, then q


P2: q


C: p

deductive - disjunctive Syllogism

P1: Either p or q


P2: not P


C: q



or



P1: Either p or q


P2: not q


C: p

deductive - Constructive Dilemma

P1: If p, then q


P2: If r, then s


P3: Either p or r


C: Either q or s

deductive - destructive dilemma

P1: If p, then q


P2: If r, then s


P3: Either not q or not s


C: Either not p or not r

Inductive - Prediction

conclusions says something about the future

inductive - argument from analogy

If Sarah's car has good gas mileage then Pat's car must have good mileage.

inductive - generalization

Because 10 grapes out of a bag are juicy, then all the grapes in that bag must be juicy.

inductive - argument from authority

the conclusion is made based on what an authoritative figure said

inductive - argument based on signs

the conclusion is based on what is written on a sign

inductive - casual inference

The child is sleeping, therefore he must have had a tiring day.

valid deductive argument

argument in which it is impossible for the conclusion to be false given that the premises are true

invalid deductive argument

argument in which it is possible for the occlusion to be false given that the premises are true

sound argument

deductive argument that is valid and has all true premises

strong inductive argument

argument in which it is impossible that the conclusion be false given that the premises are true

weak inductive argument

argument in which the conclusion does not follow probably from the premises even though it is claimed to do so

cogent argument

inductive argument that is strong and has all true premises

argument form

an arrangement of words and letters such that the uniform substitution of terms or statements in place of letters results in an argument

substitution instance


an argument or statement that has the same form as a given argument form or statement form