The Language of Argument

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I n d e x

negation, 122–125, 246–247
series with independence,
250–251
probability phrases, 49
probability rules, 246–253
permutations and combinations,
250–251
of conjunctions, 247–248
of disjunctions, 248–249
of negations, 246–247
in a series, 249–250
probability scale, 244
problem clarification, 384–386
problem of equality, 416–417
process of elimination, 92, 125–126
pro-choice argument, 387–392. See
also abortion
pro-life argument, 385–387. See also
abortion
propositional conditionals, 43–45,
135, 137, 140, 145
propositional conjunction, 117
propositional connectives, 114–134
conjunction, 52, 114–121, 142,
247–248
definition, 114
disjunction, 122, 126, 142
exclusive disjunction, 132–134,
248–249
negation, 122–125, 246–247
truth-functional connectives,
126–128
truth-functionally equivalent,
133–134
validity testing, 128–132,
144, 163
propositional form, 115–116
propositional logic, 113–150
argument form in, 119–120
vs. categorical logic, 151–152
conditionals, 43–45, 134–150
formal analysis of arguments,
113–114
validity and, 119–121
propositional variables, 151
propositions, 155
psychic powers, 315
psychoanalytic theory, 329
purpose, 71

quality, rule of
contingent facts, 97–99
definition, 31
and rhetorical devices, 36, 37
quantity, rule of
contingent facts, 97
definition, 31
linguistic principles, 99–100
and rhetorical devices, 36–37
violations of, 80, 122, 144–145, 147
questions of fact, 354–355, 383
questions of law, 355–361
quotas, 368

racial segregation, 340
raising objections, 68
Randi, James, 315
range of moral principles, 384
rape, 387–388, 392–393. See also
abortion; violinist analogy, and
abortion
ratio decidendi, 358
rationality, as condition of
personhood, 388–389
rational-relation test, 362–363, 381
Reagan, Ronald, 139, 390, 395
reason markers, 42–43
reasoning, chain of, 86–88
reasons. See premises
reconstruction method, 102–103
red herring, 80, 308
Redford, Robert, 74–76, 89–90
reductio ad absurdum, 337–340
reference class, 189, 190–192
refutation, 333–349
counterexamples, 335–337
definition, 333
false dichotomies, 341–342
forms of, 333
by parallel reasoning, 343–349
reductio ad absurdum, 337–340
straw man, 52, 64–65, 341–342
Regents of the University of California v.
Bakke, 364–369, 375–376
Rehnquist, William, 365, 373
Reid, Thomas, 214n6
relevance, fallacies of. See fallacies of
relevance

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