Strictly speaking, a proposition is only irreconcilable with its negation. A is irreconcilable with !A. This is Aristotle's law of non-contradiction: A is not not A. A is never irreconcilable with B simply on the face of it. To conclude !B from A, we need a minor premise stating If A, then !B. Consider:
I was in New York at 8:00 last night.
I was in Atlanta at 8:00 last night.
These positions are not contradictory until one adds the minor premise:
I cannot be in two places at once.
Or,
I went to my one year anniversary with my wife last night.
I am going for my two year anniversary with my wife tomorrow.
These positions are not contradictory until one adds the minor premise:
I am not in polygamous marriages.
Consider, then, if I held the following two positions and the objection was made that these positions are in contradiction and needed reconciliation:
The earth is (roughly) a sphere.
The earth is a planet.
The necessary implicit minor premise, "planets cannot be spheres" or "spheres cannot be planets" is not something I hold to, therefore I have no obligation to reconcile my positions, as they do not contradict unless we assume propositions not in evidence. By all means, those holding these premises are free to argue them, but they may not presume them.
The compatiblists here hold two premises:
God predetermines absolutely everything
Man's will is free and he alone is responsible for what he does.
Neither of these two propositions is phrased as the negation of the other, meaning we cannot be told we have a conflict here which needs explaining unless we first presume the minor premise: If God predetermines absolutely everything, man is not free and he is not responsible for what He does.
I don't hold that premise, and I consider it entirely sufficient on our part to respond to this objection thus:
Your minor premise will never be found in any verse of scripture, being far too technical considering how little scripture says on the subject of the will to begin with.
Your minor premise, within secular philosophy, is intellectually lacking.
Your minor premise, when applied to scripture, is used to pit scriptures against scriptures to nullify plain readings of verses merely to defend free will, a doctrine which those plain readings never imperiled to begin with.
Your minor premise is never clearly articulated and confessed when you use it, which speaks to your inability to defend it.
Without your minor premise, there is no contradiction and I have no need to explain anything.
I was in New York at 8:00 last night.
I was in Atlanta at 8:00 last night.
These positions are not contradictory until one adds the minor premise:
I cannot be in two places at once.
Or,
I went to my one year anniversary with my wife last night.
I am going for my two year anniversary with my wife tomorrow.
These positions are not contradictory until one adds the minor premise:
I am not in polygamous marriages.
Consider, then, if I held the following two positions and the objection was made that these positions are in contradiction and needed reconciliation:
The earth is (roughly) a sphere.
The earth is a planet.
The necessary implicit minor premise, "planets cannot be spheres" or "spheres cannot be planets" is not something I hold to, therefore I have no obligation to reconcile my positions, as they do not contradict unless we assume propositions not in evidence. By all means, those holding these premises are free to argue them, but they may not presume them.
The compatiblists here hold two premises:
God predetermines absolutely everything
Man's will is free and he alone is responsible for what he does.
Neither of these two propositions is phrased as the negation of the other, meaning we cannot be told we have a conflict here which needs explaining unless we first presume the minor premise: If God predetermines absolutely everything, man is not free and he is not responsible for what He does.
I don't hold that premise, and I consider it entirely sufficient on our part to respond to this objection thus:
Your minor premise will never be found in any verse of scripture, being far too technical considering how little scripture says on the subject of the will to begin with.
Your minor premise, within secular philosophy, is intellectually lacking.
Your minor premise, when applied to scripture, is used to pit scriptures against scriptures to nullify plain readings of verses merely to defend free will, a doctrine which those plain readings never imperiled to begin with.
Your minor premise is never clearly articulated and confessed when you use it, which speaks to your inability to defend it.
Without your minor premise, there is no contradiction and I have no need to explain anything.