07/100 Days of Productivity

Today I continued solving the exercises I had for this week. More precisely I solved pp.14: exercises 22–23. Consequently, this is how my TO-DO list is currently looking like:

• pp.12 exercises 1–4.

• pp.13 exercises 5, 6, 8 (a, b, d, e, g and h), 9 (a, b, c and h), 10, 11, 13 and 14.

• pp.14: exercises 22–23.

• pp.15 exercises 32-37.

• pp.35: exercises 9, 30, 31 and 34.

I had serious trouble identifying the hypotheses and the conclusion in the statements and therefore I’ll write down the annotations I’ve made here. These are the rules to identify which is “p” (hypotheses), and which is “q” (conclusion) in conditional statements.

• If p, then q.
• If p, q.
• p is sufficient for q.
• q if p.
• q when p.
• A necessary condition for p is q.
• q unless ¬p.
• p implies q.
• p only if q.
• A sufficient condition for q is p.
• q whenever p.
• q is necessary for p.
• q follows from p.

For bi-conditional statements:

• p iff q.
• If p then q, and conversely.
• p is necessary and sufficient for q.