From §1.1: 
    A proposition is a statement (communication) that is either true or false,

This is further expanded by subsequent text, including a prohibition against
    Statements whose truth value varies with circumstances such as “it's five o'clock” or “the stock market will rise tomorrow.”


no      bread
no      eat
no      eat bread
???     I eat bread
no      I ate bread yesterday
PROP    I ate bread on 2019-09-01
PROP    Luther Tychonievich ate bread on 2019-09-01 in Gregorian calendar in EDT


Atomic
    no cut

Atomic Proposition - not made of other smaller props





I'm cool and hip
    Not atomic
        I'm cool
        I'm hip


I'm from Trinadad and Tabago
    Atomic












Identify the propositions (and atomic propositions) in
Y    I earned an A in my discrete math class.
    Curry is delicious.
N    Don't look at my socks.
N    Do you smell that?
Y       you smell that


replace props with letters


    You deserve to pass this course if you did well on the homeworks or the in-class exercises without cheating.

P = You deserve to pass this course
H = you did well on the homeworks
I = you did well on the in-class exercises
C = you cheated

    P if H or I and not C
    P if ((H or I) and not C)
    P if ((H xor I) and not C)
    P if (H xor (I and not C))
    P if (H or (I and not C))



    You deserve an A in this course if you did well on the homeworks and the in-class exercises without cheating.
    Every citizen deserves the right to vote.
    It's unfair that the person sitting next to me always gets a hand up before I can, so the teacher doesn't call on me.
    you are not an alligator if you do not eat animals
    either it is wet or it is dry, and the sun is shining somewhere
    if it is not the case that I have not both eaten and slept then I will not weep or moan