 Defenders of a significant distinction between a priori and a posteriori justification could grant that there is no significant difference insofar as imagination plays the role in justification that Williamson proposes. And sometimes it does play that role in a priori justification as Elijah Chudnoff illustrates with many examples involving geometric propositions and accompanying figures (2011a: 636–38; 2013a: 370–372). However, there are other ways to justify propositions a priori. Some seemingly a priori propositions can be justified by reflection. One example that Chudnoff often appeals to involves the proposition: if \(a\lt 1\), then \(2 -2a \gt 0\). To justify that proposition, you might first let \(a = 1\) and see that \(2 - 2a = 0\). You might then reflect that when “a” is a number less than one but greater than or equal to zero, \((2 - 2a)\) is greater than zero. Finally, you might reflect that if “a” is a negative number, \((-2a)\) will be a positive number, so \((2 - 2a)\) will be a number larger than 2, and so greater than zero. So by reflection on a few relevant cases, we can come to see a priori that if \(a\lt 1\), then \((2 - 2a) \gt 0\). This way is much different than the way we might come via imagination to see A = If two marks had been nine inches apart, they would have been further apart than the front and back legs of an ant.