Write the truth-functional form (TFF) for each sentence. Use P, Q, R, etc. as replacement letters. Always use P first, and only use Q if you need a second, R if you need a third, etc. (So every answer will have P in it.) 1. ~~AxQ(x)vAxQ(x) 2. ~AxQ(x)&Ax~Q(x) 3. a=bvb=a ill PvQ

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 2
Write the truth-functional form (TFF) for each sentence. Use P, Q, R, etc. as
replacement letters. Always use P first, and only use Q if you need a second, R if you
need a third, etc. (So every answer will have P in it.)
1. ~~AxQ(x)vAxQ(x)
2. ~AxQ(x)&Ax~Q(x)
3. a=bvb=a
4. ~(b=b)
5. ~Ax(P(x)->x=a)
6. ExP(x)&Ay(P(y)->Q(y))
7. Ex(P(x)&Ay(P(y)->Q(y)))
8. ~(ExP(x)vEyQ(y))->~ExP(x)
‒‒‒‒‒‒‒
PvQ
Transcribed Image Text:Question 2 Write the truth-functional form (TFF) for each sentence. Use P, Q, R, etc. as replacement letters. Always use P first, and only use Q if you need a second, R if you need a third, etc. (So every answer will have P in it.) 1. ~~AxQ(x)vAxQ(x) 2. ~AxQ(x)&Ax~Q(x) 3. a=bvb=a 4. ~(b=b) 5. ~Ax(P(x)->x=a) 6. ExP(x)&Ay(P(y)->Q(y)) 7. Ex(P(x)&Ay(P(y)->Q(y))) 8. ~(ExP(x)vEyQ(y))->~ExP(x) ‒‒‒‒‒‒‒ PvQ
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