Friday

December 19, 2014

December 19, 2014

Posted by **Ryan** on Wednesday, May 14, 2014 at 8:40pm.

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].

**Answer this Question**

**Related Questions**

Symbolic Logic - Even if you know only some of them please help! 1. Give a ...

philosophy logic - Natural Deduction Proof Help? Having trouble with these two 1...

Logic - Having trouble with these two 1. 1 ~J 2 (B ⊃ M) ⊃ (~J &#...

Symbolic Logic - 1. ((∀x-Fx v ∀xGx) v -(∀xKx → -∃...

Introduction to logic - I need help on Quantifier logic problems? Using the ...

Philosophy - I need help with this proof for my philosophy class. This proof is ...

Philosophy - I need help with this proof for my philosophy class. This proof is ...

Philosophy - I need help with this proof for my philosophy class. This proof is ...

Math - Justin wants to use 188 ft of fencing to fence off the greatest possible ...

Philosophy - I need help with this proof for my philosophy class. This proof is ...