# Logic

posted by .

1. Give a proof of the following:

(∀F)( (P)( [ιxGx][Px] ⊃ F(P) ) ⊃ F(G))

(∃F)( (P)( F(P) ≡ [ιxGx][Px])

Therefore, E!(ιxGx)

2. Prove the following:

[ιxMx][Thales believed that Bx]

[ιxMx][ιyEy][x=y]

Therefore, [ιxEx][Thales believed that Bx]

3. Prove the following:

Kepler Believed that (9 > 7)

(∃x)( (z)(Pz ≡ z=x) • x = 9)

Therefore, (∃x)( (z)(Pz ≡ z=x) • Kepler believed that (x>7))

a) The fastest man on Earth is not superman. Mx: x is a man; Fxy: x is faster than y; Sx: x lives on Earth but was born on Krypton. (Express it first with scope markers and then translate. There are two scopes.)

b) Pegasus is not equal to Pegasus. Px: x is winged and a horse. (Express first with scope markers and then translate. There are two scopes.)

c) Oedipus believed that Jocasta was not his mother. (Hint: Oedipus is famous for marrying his mother Jocasta, not knowing she is his mother. Give a primary scope occurrence for the description of Jocasta as “the mother of Oedipus.” Pxy: x gave birth to y; Ox: x is most famous topic of psychoanalysis. “Jocasta” is replaced by “the mother of Oedipus,” which is (ιx)[ιyOy][Pxy].

## Similar Questions

1. ### CHEMISTRY

I'm in the same class as Catie, and we're working on the same lab; however, i chose a different approach. here's what i have below, your help is much appreciated. so i have X= g AgNO3 0.953-x = Ba(NO3)2 therefore .953-X-NO3=?
2. ### Introduction to logic

I need help on Quantifier logic problems?
3. ### Symbolic Logic

1. ((∀x-Fx v ∀xGx) v -(∀xKx → -∃y∀z∃w-Dyzw)) & ((∀xFx & ∀x-Gx) v (∃xKx → ∀y∃z∀wDyzw)) ├ ∀x(((Fx → Gx) → (Kx → ∀y∃z∀wDyzw)) …
4. ### Symbolic Logic

Even if you know only some of them please help! 1. Give a proof of the following: (∀F)( (P)( [ιxGx][Px] ⊃ F(P) ) ⊃ F(G)) (∃F)( (P)( F(P) ≡ [ιxGx][Px]) Therefore, E!(ιxGx) 2. Prove the following: …
5. ### philosophy logic

Natural Deduction Proof Help? Having trouble with these two 1. 1 ~Y ⊃ ~L 2 W v ~Y 3 W ⊃ ~B / ~B v ~L 2. 1 ~U • (G = ~T) 2 (~U v D) ⊃ (W • ~R) / W • ~U
6. ### Logic

Having trouble with these two 1. 1 ~J 2 (B ⊃ M) ⊃ (~J ⊃ B) 3 ~J ⊃ (B ⊃ M) / B 2. 1 ~L 2 V v (A v L) 3 (V v A) ⊃ ~V / A
7. ### Math

Can you help me ? I need to figure formula if I have \$2023.60 what percent is it of \$55,953.77?
8. ### calculus

If f(x) is differentiable for the closed interval [-3, 2] such that f(-3) = 4 and f(2) = 4, then there exists a value c, -3 < c < 2 such that (4 points) If f(x) = ι(x2 - 8)ι, how many numbers in the interval 0 ≤ …
9. ### calculus

If f(x) = ι(x2 - 8)ι, how many numbers in the interval 0 ≤ x ≤ 2.5 satisfy the conclusion of the mean value theorem?
10. ### Math

υиιт яαтє: 40 ¢м σf ѕиσω ιи 8 нσυяѕ

More Similar Questions