Translate the following English sentences into the symbolic languag...

  1. Home
  2. Homework Library
  3. Mathematics
  4. Math Logic
  5. Translate the following English sentences into the symbolic languag...

QuestionQuestion

Transcribed TextTranscribed Text

Translate the following English sentences into the symbolic language. Use S for 'Smith is here' and J for (Jones is away': 1. Jones is not away if and only if Smith is not away 2. Jones is away if and only if Smith is here, but Jones is not away 3. It is not the case that both Smith is here and Jones is not away 4. Either Jones is away or if Smith is here then Jones is not away 5. Smith is here, and Jones is away or Jones is not away 6. Jones is away, and it is not the case that either Smith is here or Jones is away Use the method of truth tables to determine whether or not each of the following arguments is valid: 7. (B=A) 8. B D A - A B A B A (B. A) .. A Use the method of formal proof together with the 6 elementary rules of inference [MP, MT, Add, D.S., Simp, Conj] to demonstrate the validity of the following arguments: 9. A u B 10. A C BvC AvB A / C Use the method of formal proof again but this time add the three replacement rules [DN, Com, Assoc] to the 6 rules above to demonstrate the validity of the following arguments: 11.B.A 12. (A.B).C. C (BVC)vD A u D/AC.D ~B

Solution PreviewSolution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

    By purchasing this solution you'll be able to access the following files:
    Solution.docx.

    50% discount

    Hours
    Minutes
    Seconds
    $18.00 $9.00
    for this solution

    or FREE if you
    register a new account!

    PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

    Find A Tutor

    View available Math Logic Tutors

    Get College Homework Help.

    Are you sure you don't want to upload any files?

    Fast tutor response requires as much info as possible.

    Decision:
    Upload a file
    Continue without uploading

    SUBMIT YOUR HOMEWORK
    We couldn't find that subject.
    Please select the best match from the list below.

    We'll send you an email right away. If it's not in your inbox, check your spam folder.

    • 1
    • 2
    • 3
    Live Chats