Daily Archives: July 17, 2015

Abraham and True Consequents

In an earlier post, I gave an example of a scriptural argument which helps to show that a conditional with a false antecedent should be considered true. I recently ran across a biblical argument showing that, as in the defining truth table, a conditional with a true consequent should also be considered true. In Genesis 24:41, Abraham’s servant reports,

“Then you will be free from my oath, when you come to my clan. And if they will not give her to you, you will be free from my oath.”

The conditional is not necessarily meant to follow from the previous statement, but if it does, then this lends credence to the modern understanding of conditionals that when the consequent is true, the conditional itself must be true.

Jesus and false antecedents

Since the Stoics first considered the truth value of conditional statements, there has been debate over whether a conditional with a false antecedent should be considered true, as modern propositional logic holds. Let me nudge the discussion forward by considering Jesus’ response to Pilate during His trial:

Jesus answered, “My kingdom is not of this world. If My kingdom were of this world, My servants would fight” (John 18:36)

Jesus speaks truth. Thus the statement “My kingdom is of this world” is false, being the negation of his first statement. But this false statement is the antecedent of the true conditional, “If My kingdom were of this world, My servants would fight.” 

Nudge.