We run our website the way we wished the whole internet worked: we provide high quality original content with no ads. We are funded solely by your direct support. Please consider supporting this project.

The Hexagon of Opposition

Throughout the western philosophical and theological tradition, scholars have assumed that the future can be adequately described in terms of what will and will not happen. In this essay I, Alan Rhoda and Tom Belt argue that this assumption is mistaken, for the logical contradictory of will is not will not but might not. Conversely, the logical contradictory of will not is not will, but might. We suggest that the traditional assumption that the future is exhaustively describable in terms of what will and will not occur is influenced by an inadequacy in Aristotle’s famous “Square of Opposition.” We correct this deficiency and demonstrate that an adequate logical model of the future must incorporate might and might not, producing a “Hexagon of Opposition” rather than a “Square of Opposition.”

Click here to download this essay:

The Hexagon of Opposition: Thinking Outside the Aristotelian Box

Category:
Tags: ,
Topics:

Related Reading

What is the significance of Jonah 1:2; 3:2, 4–10; 4:2?

God “changed his mind” (3:10) about the destruction he planned to carry out on Nineveh. If all events in history are eternally settled and known by God as such, his word to Jonah that he planned to destroy Nineveh in forty days was insincere as was his inspired testimony that he in fact changed his…

Topics:

Lord Willing? Part 3

In this final segment of Greg’s discussion with Jessica Kelley about her book Lord Willing?, Jessica talks about how to respond to someone who is grieving or in crisis. You can find part 1 here and part 2 here. We’re so grateful that Jessica took the time to share her story with us. We know…

What is the significance of Genesis 22:12 ?

Abraham passed God’s “test” (vs. 1) by being willing to sacrifice his son. The Lord says “…now I know that you fear God, since you have not withheld your son…” If the classical understanding of foreknowledge is true, God’s statement “now I know” seems disingenuous. The meaning of God’s explanation for this knowledge — “since…

Topics:

How do I avoid feeling like God is absent?

Question: I used to see God involved in everything and used to believe every event expressed God’s will. After my wife and I lost our child in a tragic accident,  and as a result of reading your books (especially Is God to Blame?),  I came to embrace the warfare worldview and the open view of…

What is the significance of Jeremiah 3:19–20?

“I thought how I would set you among my children…And I thought you would call me, My Father, and would not turn from following me. Instead, as a faithless wife…you have been faithless to me…” If the future is eternally and exhaustively settled, and if God therefore knows it as such, he could not have…

Topics:

Does Prayer Really Change Things?

Many people operate out of a blueprint model where God is viewed as absolutely unchanging, and all that occurs in the world is the unfolding of an eternal divine plan. If this is the case, then the purpose of prayer is to change us, not to change things. While prayer does change us, the Bible…