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
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
Section: Chapter Questions
Problem 1RQ
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcacad820-b104-4aaa-a732-c3d296764e35%2F71a2f713-71e8-44de-9ab4-0cc569f37d83%2Fbkpp2s7_processed.png&w=3840&q=75)
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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