Pls answer it accurately thanks. 🙂 I expect you to have a good score for this.QUESTION 12
which rule is this?
1 1:
1 IB
IAB
what rule is applied?
O a. →
O b. E
O c. VI
O d. VE
QUESTION 13
Which of the following rules is the rule for introduction of negation? (1)
O a. 1. X
2.7 X
3.1
Ob.
1.1
2.1
3.1
IX
I:
IL
4.17 X
Oc.
1. X
2. X Y
O d.
1. X
2. Y
3. ΧΛΥ
QUESTION 14
A ו ר
With 2 rules for each connective we cannot prove A from A; but we can prove 7 A from A: you see the proof below. What is the missing line? (the missing line is a justification line — what rule is applied and on what lines)?
1. IA
..
2.1
НА
3. I
IA REPEAT 1
4.1
IL
FSE
7 E 2,3
5. HA
???
O a. 1 2-4
O b. V 3
O c. 1 2
O d. 3
QUESTION 10
Which one is the missing line?
1. IP v Q ::QVP
2.1
Tıp
3.1
IQ VP
4.1 210
5.1 IQ VP
VI 2
VI 4
6.) ?
VE 1,2-3, 4-5
OPVQ
O QVP
OP
QUESTION 11
which rule is this?
• A
• B
A AB
what rule is applied?
a. Vi
O b. AI
O c. →E
O d. E
QUESTION 7
Is this proof correct? We are proving without premises (because we are proving what corresponds to a tautology: so, no premises proof.)
:: PP
1.1
2.1
11p
IP
REPEAT 1
212
3.
4.1
5. IP + P
IP
REPEAT 3
O Yes
Ο Νο
QUESTION 8
Is this proof correct?
1.!(PAQV PAR) :: PVS
2.1
ΓΙΡΛΟ
3.1
IP
4.1
IP VS
SHOW:P VS
AE2
VI 3
2PAR
SHOW: PVS
IP
5.1
6.1
7.1
8. IP VS
AE 5
VI 6
IP VS
VE 1,2,3,4,5,6,7
O Yes
O No
QUESTION 9
Which one is a correct application of the rule?
O a.
1.|(AVB)C
2.C
VE 1
Ob.
1. (A VBC
2. ((A V B) → C)VQ
VI 1
O c.
1. (A VB)→C
2. AVB
→E 1
Od.
1.IA VB) C
2. AC
→ E1
QUESTION 4
Which one is the missing line?
1.1
2.1
3.1
4.1
IP AQ
IP
ΛΕ 2
► 2-3
O a. PAQ
O b.PVQ
Oc. (P.) →P
OdQVP
QUESTION 5
Find the missing line.
..QP
1.1P
2.1 I
3.1 IP
4.1QP
REPEAT 1
I 2-3
a. P
O b.PVO
O c. P Q
O d. 19.
QUESTION 6
..CC
Which proof is correct?
O a. 1. IA
2.
3.1
4.1 C→C
IA
IC
REPEAT 2
► 2-3
O b.
..CC
1. IA
2.1
3.1
4.1
CC
IC
IC
REPEAT 2
I 2-3
ос.
..CC
1. IA
2.1
3.1
4.1 C→C
ІВ
IC
REPEAT 2
I 2-3
Od.
1. IA
..CC
IC
2.1
3.1
4.1 B-C
IC
REPEAT 2
► 2-3
QUESTION 1
Pick what is missing from this proof.
Premise
AE 1
1. IBAL
2. IL
3.1
4. ILAB
ΛΙ 2, 3
AE 1
O a. LABAI
Oь. В
Oc. BALAI
O d. L ΛΕ
QUESTION 2
Which one is a correct application of the rule?
O a. 1. (AV, B) 4 (B-C)
2. (
BC)
AE 1
O b.
1. (AV, B) 4 (B-C)
2. B
ΛΕ 1
O c.
1. (AV, BA, (B-C)
2. C
AE 1
O d.
1. (AV, B) 4 (B-C)
2. A
AE 1
QUESTION 3
Which one is a correct application of the rule?
O a. 1. 1 (
AB)
2.1-(
AB)(AAC)
3.IA B
→E 1,2
O b.
1.4 (A + B)
2.1-(A + B) (AAC).
3. IAAC
LE 1,2
O c.
1.4 (AB)
2.1=-(A + B) → (AAC)
3.1 (
AB)
→E 1,2
O d.
1. (
AB)
2.1=-(A + B) → (AAC).
3. Ic
→E1,2

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