SoccerBoss
Category:
Philosophy
Price: \$5 USD

Question description

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?

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)

Part 1:

The argument selected for this assignment is the first one regarding the sea turtles.  The first premise is a conditional statement stating that nesting sanctuaries will be created for sea turtles and the slaughter of sea turtles will be halted if the sea turtle population continues to decrease or if rescue efforts are started to save sea turtles form extinction.  The second premise is another conditional statement saying that if nesting sanctuaries are created or poachers are arrested, then if the slaughter of sea turtles is halted, then the sea turtle population will not continue to decrease.  The conclusion of the argument is that the sea turtle population will not continue to decrease if these two premises are met.

Part 2:

Premise 1: (C v R) à (N •I)

Premise 2: (N v P) à (I à ~ C)

Indirect Proof:

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. ~I and I (from 10,12, Conjunction)

14.  ~C (from 3-13, Indirect Proof)

Part 3:

Translation:

C = sea turtle population continues to decrease

R = rescue efforts are commenced to save the sea turtle from extinction

N = nesting sanctuaries will be created

I = indiscriminate slaughter of the sea turtles will be halted

P = poachers are arrested

Conclusion: ~C: sea turtle population will not continue to decrease

Studypool has helped 1,244,100 students

1828 tutors are online

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors