# The double-negation in 3 is inspired! &nbspJust curious — was

The double-negation in 3 is inspired!  Just curious — was there a reason behind your decision to start with this, rather than just enter as the assumption the C you ultimately get in the next line?  Here is what I asked:Part 1:Select an argument from below to solve and discuss. 1.   If either the sea turtle population continues to decrease or rescue efforts are commenced to save the sea turtle from extinction, then nesting sanctuaries will be created and the indiscriminate slaughter of these animals will be halted. If either nesting sanctuaries are created or poachers are arrested, then if the indiscriminate slaughter of these animals is halted, then the sea turtle population will not continue to decrease. Therefore, the sea turtle population will not continue to decrease. (C, R, N, I, P)Here is your answer:Part1:  The argument selected for thisassignment is the first one regarding the sea turtles.  The first premise is a conditional statementstating that nesting sanctuaries will be created for sea turtles and theslaughter of sea turtles will be halted if the sea turtle population continuesto decrease or if rescue efforts are started to save sea turtles formextinction.  The second premise isanother conditional statement saying that if nesting sanctuaries are created orpoachers are arrested, then if the slaughter of sea turtles is halted, then thesea turtle population will not continue to decrease.  The conclusion of the argument is that thesea turtle population will not continue to decrease if these two premises aremet.Part2:Premise1: (C v R) à (N •I)Premise2: (N v P) à (I à ~ C)IndirectProof:1.  (C v R) à (N •I)  (Premise 1)2.  (N v P) à (I à ~ C) (Premise 2)3.  ~~C (Assumption for indirect proof)4.  C (Derived from 3, double negation)5.  C v R (from 4, Addition)6.  N • I (from 1,5 Modus Ponens)7.  N (from 6, Simplification)8.  N v P (from 7, Addition)9.  I à ~C (from 2,8, Modus Ponens)10.  ~I (from 3,9 Modus Tollens)11.  I • N (from 6, Commutativity)12.  I (from 11, Simplification)13. ~Iand I (from 10,12, Conjunction)14.  ~C (from 3-13, Indirect Proof)Part3:Translation:C = seaturtle population continues to decreaseR =rescue efforts are commenced to save the sea turtle from extinctionN =nesting sanctuaries will be createdI =indiscriminate slaughter of the sea turtles will be haltedP =poachers are arrestedConclusion:~C: sea turtle population will not continue to decrease