The
law of non-contradiction states that
contradictory propositions cannot both be true in the same sense at the same time,
A paradox is a
seeming contradiction that is not
a true contradiction.
To
prove that X and Y are
a paradox, a seeming contradiction, but not
a true contradiction, one needs to explain how statements X and Y are not truly assertions about
the same thing at the same time in the same way, but there is actually some obfuscated difference between the two statements in regard to their subject, object, time or manner. The existence of a paradox relies on some kind of
equivocation in the two statements that makes it
seem like they are equivalent when they are not actually equivalent statements, i.e. not truly
describing the same thing in the same way at the same time.
For instance, in "an unpopular populist" the idea is of a populist who is not popular. In other words they hold and champion
popular policy positions but they are not a
popular person. So, popular in "populist" and popular in "unpopular" are not being used of the same thing in the same sense at the same time. In the former it is referring
to her policy positions, and in the latter it is referring to
her personality. Hence we can show that this is a paradox and not a true contradiction.
You said:
Rufus said:
"And therein is the great paradox to man's will. As a moral agent, we can voluntarily (freely) make choices. On the other hand, because our hearts (the seat of all our faculties) are full of evil and corruptness our choices are inherently biased toward sin and evil; therefore in this sense the unregenerate man's will is in bondage to the world, the flesh, the devil and and even the Law since the law arouses sinful passions."
You are saying that we freely make choices; but we cannot choose not to sin.
Do you mean, "1. We freely make choices (between doing either of amoral act X or Y or Z); but we cannot freely make choices to do moral acts A or B or C" ?
Or do you mean, "2. We freely make choices (between doing either of immoral acts X or Y or Z); but we cannot freely make choices to do moral acts A or B or C" ?
Or do you mean, "3. We freely make choices (between doing either of moral acts A or B or C); but we cannot freely make choices to do moral acts A or B or C" ?
If you mean either 1 or 2, then what you state in blue is a paradox, only an apparent contradiction, but not a real one, since "choices" are not being exercised concerning the same things in the same way at the same time.
But if you mean 3, you have an actual contradiction rather than a paradox.
So, which meaning are you proposing? 1 ? or 2 ? or 3? or some other?