Using all 18 rules in natural deduction to answer proofs.

* represents dot and > represents horse shoe #1 1. Av(B*C) 2. A>B / B #2 1.A=B 2.AvB 3.A>(B>C) /C #3 1. M*T 2.(M*D)>K 3.(K*T)>~D /~D #4 1.(A*B)>(C*D) 2.(DV~A)> E*F 3.~F /~B

Use natural deduction to derive the conclusion of each argument.

---------------------------------------------- DIRECTIONS FOR TRANSLATIONS Translate the following statements into symbolic form. Use the letters O, C, M, P, R, N, and L as needed. Use (> for horseshoe) (* for dot)(v wedge)(=tripple bar)(~tilde) ----------------------------------------------- 1. Nikon will introduce a new lens but not both Minolta will extend its warranty and Olympus will introduce a smaller model. 2. Pentax will promote its auto flash provided that either Cannon advertises its auto focus or Ricoh increases sales. 3. Either Nikon’s introducing a new lens or Leica’s modernizing its factory is a sufficient condition for Ricoh to increase sales. 4. Ricoh will in... click for more

Evaluation of Argument Against Parfits Reductionism

HI, below is an argument against Parfit's reductionsim theory. I am not sure if I covered it good enough. And if it is a good, valid rgument, what can I do to better this argument in light of objections to Parfits argument? Any additional information would be great help, and if there are any errors please let me know. Is there any other possible objections to Parfit's argument? PARFIT'S REDUCTIONISM Derek Parfit upholds the Reductionism theory of personal identity believing that a person is nothing over and above his brain and body, and certain deeds and thoughts. He maintains that with the passage of time, man's thinking changes which results in the creation of a new identity and ther... click for more

What does thinking about the fact of existentialism - 'reflecting upon reflecting' - tell us ?

Suppose predictions of cosmologists come true and the universe will one day collapse into a primordial atom - perhaps as a precursor to another 'big bang' - and every remnant of causality is obliterated. Alternatively - since some now believe the universe to be accelerating outwards due to the repulsive character of the 'dark force' - substance may eventually be spread so thin that no life-supporting organization remains possible (echoing the fate foretold by the second law of thermodynamics). What sense could then be made of life, that does not collapse into mewling after intervention - divine or otherwise?

Descartes' Meditations in the end of Medieval Thought and the beginning of Modern Thought.

The publication of Descartes' Meditations has been identified as a defining episode marking the end of Medieval Thought and the beginning of Modern Thought. Discuss this view and make clear what particular themes or ideas in the Meditations support this interpretation.