Question

Consider the following hypothesis. M(John) hypothesis 1 ∀x(M(x) ^ N(x) hypothesis 2 ∀x(N(x) ↔ P(x)) hypothesis...

Consider the following hypothesis.
M(John) hypothesis 1
∀x(M(x) ^ N(x) hypothesis 2
∀x(N(x) ↔ P(x)) hypothesis 3


Use the rules of inference to prove that the following conclusion follows from these hypothesis. Clearly label the rules of inference used at every step of your proof.
P(John)

Engineering   Computer-Science   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The answer for the above mentioned question is explained below ::

From the given three hypothesis and by using rules of inference the conclusion P(John) is as follows ::

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the following statement: For every integer x, if 4x2 - 3x + 2 is even,...
Consider the following statement: For every integer x, if 4x2 - 3x + 2 is even, then x is even. Answer the following questions about this statement. 1(a) Provide the predicate for the starting assumption for a proof by contraposition for the given statement. 1(b) Provide the conclusion predicate for a proof by contraposition for the given statement. 1(c) Prove the statement is true by contraposition.
Consider the following hypothesis test. H0:  1 -  2≤ 0 Ha:  1 -  2> 0 The following results are for...
Consider the following hypothesis test. H0:  1 -  2≤ 0 Ha:  1 -  2> 0 The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n 1 = 30 n 2 = 70 x 1 = 25.6 x 2 = 22.2 σ 1 = 5.3 σ 2 = 7 a. What is the value of the test statistic (round to 2 decimals)? b. What is the p-value (round to 4 decimals)? Use z-table. Use z-value rounded to...
Write a proof of the following argument: "There is someone in this class that likes escape...
Write a proof of the following argument: "There is someone in this class that likes escape rooms. Every in this class can solve logic puzzles. Therefore, there is someone that likes escape rooms and can solve logic puzzles." Hint: Translate the English sentences into logic using the domain "people" and apply rules of inference to prove why the conclusion follows from the premises.
Consider the following data: x 3 4 5 6 7 P(X=x)P(X=x) 0.2 .1 .2 .2 0.3...
Consider the following data: x 3 4 5 6 7 P(X=x)P(X=x) 0.2 .1 .2 .2 0.3 Copy Data Step 2 of 5: Find the variance. Round your answer to one decimal place. Step 3 of 5: Find the standard deviation. Round your answer to one decimal place. Step 4 of 5: Find the value of P(X>6)P(X>6). Round your answer to one decimal place. Step 5 of 5: Find the value of P(X≤5)P(X≤5). Round your answer to one decimal place.
Prove the following statements: 1- If m and n are relatively prime, then for any x...
Prove the following statements: 1- If m and n are relatively prime, then for any x belongs, Z there are integers a; b such that x = am + bn 2- For every n belongs N, the number (n^3 + 2) is not divisible by 4.
Question 1 Consider the following hypothesis test. H0:  1 -  2= 0 Ha:  1 -  2≠ 0 The following results...
Question 1 Consider the following hypothesis test. H0:  1 -  2= 0 Ha:  1 -  2≠ 0 The following results are from independent samples taken from two populations. Sample 1 Sample 2 n 1 = 35 n 2 = 40 x 1 = 13.6 x 2 = 10.1 s 1 = 5.5 s 2 = 8.2 a. What is the value of the test statistic (to 2 decimals)? b. What is the degrees of freedom for the t distribution? (Round down your answer to...
Theorem: If m is an even number and n is an odd number, then m^2+n^2+1 is...
Theorem: If m is an even number and n is an odd number, then m^2+n^2+1 is even. Don’t prove it. In writing a proof by contraposition, what is your “Given” (assumption)? ___________________________ What is “To Prove”: _____________________________
7. (Problem 3 on page 341 from Rosen) Let P(n) be the statement that a postage...
7. (Problem 3 on page 341 from Rosen) Let P(n) be the statement that a postage of n cents can be formed using just 3-cent stamps and 5-cent stamps. The parts of this exercise outline a strong induction proof that P(n) is true for n ³ 8. Show that the statements P(8), P(9), and P(lO) are true, completing the basis step of the proof. What is the inductive hypothesis of the proof? What do you need to prove in the...
(1) The set subtraction law states that A - B = A ∩ B. Use the...
(1) The set subtraction law states that A - B = A ∩ B. Use the set subtraction law as well as the other set identities given in the table to prove each of the following new identities. Label each step in your proof with the set identity used to establish that step. a. (A - B) - A = ∅ _______________ (2) Use the set identities given in the table to prove the following new identities. Label each step...
Consider the following statement: If x and y are integers and x - y is odd,...
Consider the following statement: If x and y are integers and x - y is odd, then x is odd or y is odd. Answer the following questions about this statement. 2(a) Provide the predicate for the starting assumption for a proof by contraposition for the given statement. 2(b) Provide the conclusion predicate for a proof by contraposition for the given statement. 2(c) Prove the statement is true by contraposition. 2(d) Prove that the converse is not true.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT