Logic Problems please respond!

Arguments, Validity, and Soundness (20 points)

For the following prompts, determine the properties that apply to each prompt (if any). Highlight or put in bold “yes” if the prompt does possess the characteristic listed, and highlight or put in bold font “no” if not.

1. Thanksgiving is coming soon. Therefore, it’s October.

Argument? Yes No

Valid? Yes No

Sound? Yes No

2. Barack Obama is a man. All men are mortal. Therefore Barack Obama is mortal.

Argument? Yes No

Valid? Yes No

Sound? Yes No


Symbolization

Please symbolize the following English sentences into logical notation. Place your answer below each respective question. To incorporate special characters into your answers, copy and paste from the symbol bank at the top of the quiz.

3. HANNAH and MIGUEL will volunteer this weekend if and only if CHRIS can’t volunteer this weekend.

4. The SUN is shining if there are no CLOUDS in the sky.

Well-formed-formulas (WFFs)

Determine whether each of the formulae below, individually, are well formed or not. If the formula is well formed, highlight or put “wff” in bold font. If the formula isn’t well formed, put “not a wff” in bold font or highlight it.

5. H & -(-R & M)

WFF Not a WFF

6. S &  (P  N)

WFF Not a WFF


Highlight (using the “highlighter” tool in your word processing program) the main logical operator of the following formula:

- ((G & J) & S)