Sentential Translation, English to WFF

Question 1

If Φ, ψ.

Answer 1

(Φ->ψ)

Question 2

Φ only if ψ.

Answer 2

(Φ->ψ)

Question 3

Φ is a sufficient condition for ψ.

Answer 3

(Φ->ψ)

Question 4

Φ is sufficient for ψ.

Answer 4

(Φ->ψ)

Question 5

Provided that Φ, ψ.

Answer 5

(Φ->ψ)

Question 6

ψ provided that Φ.

Answer 6

(Φ->ψ)

Question 7

ψ on the condition that Φ.

Answer 7

(Φ->ψ)

Question 8

ψ is a necessary condition for Φ.

Answer 8

(Φ->ψ)

Question 9

ψ is necessary for Φ.

Answer 9

(Φ->ψ)

Question 10

Whenever Φ, ψ.

Answer 10

(Φ->ψ)

Question 11

ψ if Φ.

Answer 11

(Φ->ψ)

Question 12

Given that Φ, ψ.

Answer 12

(Φ->ψ)

Question 13

In case Φ, ψ.

Answer 13

(Φ->ψ)

Question 14

Φ only on the condition that ψ.

Answer 14

(Φ->ψ)

Question 15

Φ and ψ.

Answer 15

(Φ&ψ)

Question 16

Both Φ and ψ.

Answer 16

(Φ&ψ)

Question 17

Φ, but ψ.

Answer 17

(Φ&ψ)

Question 18

Φ, although ψ.

Answer 18

(Φ&ψ)

Question 19

Φ as well as ψ.

Answer 19

(Φ&ψ)

Question 20

Though Φ, ψ.

Answer 20

(Φ&ψ)

Question 21

Φ, also ψ.

Answer 21

(Φ&ψ)

Question 22

Φ or ψ.

Answer 22

(Φvψ)

Question 23

Either Φ or ψ.

Answer 23

(Φvψ)

Question 24

Φ unless ψ.

Answer 24

(Φvψ) or (~ψ->Φ)

Question 25

Φ if and only if ψ.

Answer 25

(Φψ)

Question 26

Φ is equivalent to ψ.

Answer 26

(Φψ)

Question 27

Φ is necessary and sufficient for ψ.

Answer 27

(Φψ)

Question 28

Φ just in case ψ.

Answer 28

(Φψ)

Question 29

Neither Φ nor ψ.

Answer 29

~(Φvψ) or (~Φ&~ψ)