Van Inwagen's argument against the Principle of Sufficient Reason requires the principle that:
- No necessary truth can explain a contingent one.
- George couldn't divide the fourteen peanuts among the three party-goers because 14 is not divisible by 3.
- Arrow's Theorem explains why the United States' two-party system works better than Canada's electoral system.
- It takes a long time to find an optimal path between cities because the Traveling Salesman Problem is NP-hard.
- Patricia when told that she could have as much land as she could enclose with a four-mile-long string was wise to put the string in the shape of a circle because of the isoperimetric inequality.
- The distribution of error in the experiment was Gaussian because of the Central Limit Theorem.