When asked the question "what is time?", the fourth-century Christian philosopher St. Augustine replied, "If you don't ask me, I know, but if you ask me, I don't know." Construct a truth table for St. Augustine's statement and determine whether or not it is a tautology. Construct a truth table. Let p="you ask me" and let q = "I know." Р T T ... F F JIFU H q T T F -P ▼ -q ▼ U |▶▶► Is the statement a tautology? ▼ ▼, because the statement is ▼ ▼ ▼ ▼ ▼ ▼ ▼ for all possible cases. ▼ C

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 16CT: Let P represent any statement. Classify as true or false. a P and P b P or P
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When asked the question "what is time?", the fourth-century Christian philosopher St. Augustine replied, "If you don't ask me, I know, but if you ask me, I don't know." Construct a truth
table for St. Augustine's statement and determine whether or not it is a tautology.
Construct a truth table. Let p= "you ask me" and let q = "I know."
Р
T
T
F
F
q -P
T
▼
FLF
T
F
▼
▼
-9
▼
▼
▼
Is the statement a tautology?
because the statement is
V
▼
▼
▼
V
▼
▼
V
for all possible cases.
▼
C
Transcribed Image Text:When asked the question "what is time?", the fourth-century Christian philosopher St. Augustine replied, "If you don't ask me, I know, but if you ask me, I don't know." Construct a truth table for St. Augustine's statement and determine whether or not it is a tautology. Construct a truth table. Let p= "you ask me" and let q = "I know." Р T T F F q -P T ▼ FLF T F ▼ ▼ -9 ▼ ▼ ▼ Is the statement a tautology? because the statement is V ▼ ▼ ▼ V ▼ ▼ V for all possible cases. ▼ C
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