PHILOSOPHY natural deduction NOTE AN ESSAY

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Write out the conclusion that follows in a single step from the given premises (please read U as horseshoe):1.(S U ∼F) • (∼F U B)2.S v ∼F3.∼FQUESTION 2Write out the conclusion that follows in a single step from the given premises (please read U as horseshoe):1. ~M U S2. ~M3. (M v H) v ~SQUESTION 3Write out the conclusion that follows in a single step from the given premises (please read U as horseshoe):1. (J • ~N) v T2. ~(J • ~N)3. JQUESTION 4Write out the conclusion that follows in a single step from the given premises (please read U as horseshoe):1. N v C2. (N v C) U (F U C)3. ~CQUESTION 5Write out the conclusion that follows in a single step from the given premises (please read U as horseshoe):1. ~E U P2. ~P3. ~(P v ~H)QUESTION 6Please complete the following proof using the first eight rules of inference (please read U as horseshoe):1. M U ~Q2. (P U ~Q) U (R U ~L)3. ~L U S4. P U M                            / R U SQUESTION 7Please complete the following proof using the first eight rules of inference (please read U as horseshoe):1. L v ~S2. R U (P • ~Q)3. ~L4. (P • ~Q) U S              / ~RQUESTION 8Please complete the following proof using the first eight rules of inference (please read U as horseshoe):1. P v (M v R)2. M U S3. R U Q4. ~P                         / S v QQUESTION 9Please complete the following proof using the first eight rules of inference (please read U as horseshoe):1. (M v N) U (P • K)2. (P v ~Q) U [(R U L) • S]3. M                                       / P • (R U L)QUESTION 10Please complete the following proof using the first eight rules of inference (please read U as horseshoe):1. P • ~Q2. (P v ~R) U (~S • M)3. (~S • P) U (P U N)             / NQUESTION 11Please complete the following proof using the first eight rules of inference (please read U as horseshoe):1. (P U Q) • (R U S)2. P v L3. (L U M) • (N U K)         / Q v MQUESTION 12Please complete the following proof using the first eight rules of inference (please read U as horseshoe):1. P • (S v Q)2. (P v R) U M          / MQUESTION 13Please complete the following proof using the first eight rules of inference (please read U as horseshoe):1. ~P U Q2. R • (S U L)3. (Q • ~M) U (R U ~L)4. ~P • ~K5. ~P U ~M                       / ~LQUESTION 14Please complete the following proof using the first eight rules of inference (please read U as horseshoe):1. R U S2. P U ~Q3. ~Q U R4. P • Q                          / R • SQUESTION 15Please complete the following proof using the first eight rules of inference (please read U as horseshoe):1. (Q • R) v ~P2. R U S3. [ ~P • ~(Q • R)] U (L U ~Q)4. ~(Q • R) U (~Q U R)5. ~(Q • R) • ~M                           / L U S

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