3. Use the short truth table method to determine the validity or invalidity of all the argu- ment forms above, as well as the following, which contain more variables. (Here premises and conclusion are listed horizontally.) b. ~(p•q) Ɔ ~(r v s), (~p = (t v w)), ((r•w) = z) / .. (z Ɔ ~ s) d. (pvq) (r vs), p = ~(r•t), s=t/.. pɔt

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 10CT: Statement P and Q are true while R is a false statement. Classify as true or false:...
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Unit 5 Truth Tables for Testing Validity
93
3. Use the short truth table method to determine the validity or invalidity of all the argu-
ment forms above, as well as the following, which contain more variables. (Here premises
and conclusion are listed horizontally.)
b. ~(p•q)~(r v s), (~p = (t v w)), ((rw) = z) / .. (zƆ ~ s)
d. (pvq)(r v s), p = ~ · (r•t), s = t / pƆt
e. (p. • ~ q) > (r =~s), ~(s v z), (~qƆr) Ɔ (tv w), (w•~r) Ɔ t
h. (pvq)~r, s (~•~w) / . . (pv s) > ~ (r•t)
Ip(tr)
Transcribed Image Text:Unit 5 Truth Tables for Testing Validity 93 3. Use the short truth table method to determine the validity or invalidity of all the argu- ment forms above, as well as the following, which contain more variables. (Here premises and conclusion are listed horizontally.) b. ~(p•q)~(r v s), (~p = (t v w)), ((rw) = z) / .. (zƆ ~ s) d. (pvq)(r v s), p = ~ · (r•t), s = t / pƆt e. (p. • ~ q) > (r =~s), ~(s v z), (~qƆr) Ɔ (tv w), (w•~r) Ɔ t h. (pvq)~r, s (~•~w) / . . (pv s) > ~ (r•t) Ip(tr)
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