Mixed Translation Exercise - Selected Answers

1. Not everyone is tired.

Tx: x is tired

~(x)Tx

3. Ignat is hungry but so is everyone.

a: Ignat

Hx: x is hungry

Ha & (x)Hx

5. Wanda is wicked just in case someone is.

Wx: x is wicked

a: Wanda

Wa ≡ (∃x)Wx

7. Someone isn't fair.

Fx: x is fair

(∃x)~Fx

9. It's not the case that everyone is here.

Hx: x is here

~(x)Hx

11. Neither Harry nor Annie spoke English.

Ex: x speaks English

a: Harry

b: Annie

~Ea & ~Eb

13. All Democrats are burned out but not all Republicans are.

Dx: x is a Democrat

Rx: x is a Republican

Bx: x is burned out.

(x)(Dx ⊃ Bx) & ~(x)(Rx ⊃ Bx)

15. Some logicians are bald but Belinda isn't.

Lx: x is a logician

Bx: x is bald

a: Belinda

(∃x)(Lx & Bx) & (La & ~Ba)