1. Construct a proof for Constructive Dilemma without using CD or IP. That is: P ⊃ Q, R ⊃ S, P v R ⊢ Q v S

(1 point)

2. If God were unable to prevent evil, He would be impotent. If he were able to prevent evil, but unwilling to do so, then He would be malevolent. Evil can exist only if God is either unwilling or unable to prevent it. There is evil. But if God exists, He is neither impotent nor malevolent. So, God doesn’t exist. [Translation follows]

~A ⊃ I

(A & ~W) ⊃ M

E ⊃ (~W v ~A)

E

G ⊃ ~(I v M) /∴ ~G

(A proof of the above without using CP or IP is worth 4 points; with CP or IP, is worth 2 points.)

The method to find the female dormitory is 2-d=800

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )