![Mathematics](/tpl/images/cats/mat.png)
Mathematics, 10.07.2019 03:20, bettybales1986
Choose the symbolic notation translation of the following statements that captures as closely as possible the logical structure of each statement.
if it walks like a duck and talks like a duck, then it's a duck.
( w v t )β d
( w Β· t ) β d
( w β t )β d
~ ( w β t )β d
if it does not walk like a duck and does not talk like a duck, then it's not a duck.
( w Β· t ) v ~ d
( ~ w Β· ~ t ) v ~ d
( ~ w Β· ~ t ) β~ d
( w βt ) β~ d
if carly works hard and is not distracted, then she will get done on time.
(w v ~ d )β t
(~ w Β· ~ d )β~t
(w β~ d ) β t
(w Β· ~ d )β t
use your knowledge of truth tables to identify the following statements as contingent, tautology, or self-contradiction.
p v ~ p
contingent
tautology
self-contradiction
p Β· ~ p
contingent
tautology
self-contradiction
p v q
contingent
tautology
self-contradiction
if p is true, q is false, r is true, and s is false, determine the truth value of the following:
are these true or false?
[ p v ( q v r ) ] β( s v p )
[ p v ( q Β· r ) ] β ~ s
~ ( q Β· r ) β~ ( s Β· p )
~ p β ( ~ s v ~ r )
~ [ p v ( q v r ) ] v ~ ( s v p )
( r Β· ~ s ) Β· p
![answer](/tpl/images/cats/otvet.png)
Answers: 2
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