Sentential Translation, English to WFF Flashcards

1
Q

If Φ, ψ.

A

(Φ->ψ)

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2
Q

Φ only if ψ.

A

(Φ->ψ)

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3
Q

Φ is a sufficient condition for ψ.

A

(Φ->ψ)

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4
Q

Φ is sufficient for ψ.

A

(Φ->ψ)

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5
Q

Provided that Φ, ψ.

A

(Φ->ψ)

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6
Q

ψ provided that Φ.

A

(Φ->ψ)

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7
Q

ψ on the condition that Φ.

A

(Φ->ψ)

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8
Q

ψ is a necessary condition for Φ.

A

(Φ->ψ)

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9
Q

ψ is necessary for Φ.

A

(Φ->ψ)

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10
Q

Whenever Φ, ψ.

A

(Φ->ψ)

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11
Q

ψ if Φ.

A

(Φ->ψ)

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12
Q

Given that Φ, ψ.

A

(Φ->ψ)

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13
Q

In case Φ, ψ.

A

(Φ->ψ)

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14
Q

Φ only on the condition that ψ.

A

(Φ->ψ)

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15
Q

Φ and ψ.

A

(Φ&ψ)

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16
Q

Both Φ and ψ.

17
Q

Φ, but ψ.

18
Q

Φ, although ψ.

19
Q

Φ as well as ψ.

20
Q

Though Φ, ψ.

21
Q

Φ, also ψ.

22
Q

Φ or ψ.

23
Q

Either Φ or ψ.

24
Q

Φ unless ψ.

A

(Φvψ) or (~ψ->Φ)

25
Φ if and only if ψ.
(Φψ)
26
Φ is equivalent to ψ.
(Φψ)
27
Φ is necessary and sufficient for ψ.
(Φψ)
28
Φ just in case ψ.
(Φψ)
29
Neither Φ nor ψ.
~(Φvψ) or (~Φ&~ψ)