Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
a. From the three premises: (P v ~R), (~R-S), and ~P; Prove: S; hint use the definition of disjunction: (p v q) means that p is true, or q is true, or both p and q are true; so that from (p v q) and ~p it follows that q must be true: 1. (P v R) premise 2. (~R→S) premise 3. ~P premise 4. 5. 8

a. From the three premises: (P v ~R), (~R-S), and ~P; Prove: S; hint use the definition of disjunction: (p v q) means that p is true, or q is true, or both p and q are true; so that from (p v q) and ~p it follows that q must be true: 1. (P v R) premise 2. (~R→S) premise 3. ~P premise 4. 5. 8

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

Linguistics/Semantics Discrete Math question!

a. From the three premises: (P v ~R), (~R-S), and ~P; Prove: S; hint use the definition of disjunction: (p v q) means that p is true, or q is true, or both p and q are true; so that from (p v q) and ~p it follows that q must be true: 1. (P v ~R) premise 2. (~RS) premise 3. ~P premise 4. 5. b. From the three premises: (P→~Q), and ((~Q v R) →~S), (P & T); Prove: S; hint: use the definition of implication: (P→Q) means either P is false or Q is true, (that is, ~P v Q); and use the definition of disjunction. 1. (P- Q) premise 2. ((~Q v R)→ ~S) premise 3. (P& T) premise 4. 5. 6. 7. +
Transcribed Image Text:a. From the three premises: (P v ~R), (~R-S), and ~P; Prove: S; hint use the definition of disjunction: (p v q) means that p is true, or q is true, or both p and q are true; so that from (p v q) and ~p it follows that q must be true: 1. (P v ~R) premise 2. (~RS) premise 3. ~P premise 4. 5. b. From the three premises: (P→~Q), and ((~Q v R) →~S), (P & T); Prove: S; hint: use the definition of implication: (P→Q) means either P is false or Q is true, (that is, ~P v Q); and use the definition of disjunction. 1. (P- Q) premise 2. ((~Q v R)→ ~S) premise 3. (P& T) premise 4. 5. 6. 7. +
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS