Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Use the valid arguments form listed in table 2.3.1 to deduce the conclusion from premises. Assume all variables are statement variables. It should take 6 steps to complete the proof.
TABLE 2.3.1 Valid Argument Forms
Modus Ponens
Elimination
pvq
b.
pvq
а.
..p
Modus Tollens
Transitivity
..p→r
Generalization
p V q
Proof by
Division into Cases
а.
b.
..pv q
.pv q
p→r
q→r
Specialization
b.
... r
a.
.. p
.q du
Conjunction
Contradiction Rule
~p →c
... p
..p^q
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Transcribed Image Text:TABLE 2.3.1 Valid Argument Forms Modus Ponens Elimination pvq b. pvq а. ..p Modus Tollens Transitivity ..p→r Generalization p V q Proof by Division into Cases а. b. ..pv q .pv q p→r q→r Specialization b. ... r a. .. p .q du Conjunction Contradiction Rule ~p →c ... p ..p^q
42. а.
pvq
b.
pAs t
d.
с.
~r
e.
f. ..t
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Transcribed Image Text:42. а. pvq b. pAs t d. с. ~r e. f. ..t
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