Philip Kitcher's unificationist model entails that explaining particular instances and explaining the generalization are part of the same systematizing derivation, making the direction of explanation bilateral.

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Bilateral direction of explanation(as the outcome of Kitcher's model): The idea that explanation works both ways: you can go from general rules down to specific cases, and you can also work backward from specific cases to support or understand the general rules.
Generalization(Used in SQML proofs involving quantifiers): A proof rule in SQML by which a universally quantified formula is derived from an open formula, e.g. deriving ∀x(Fx → Fx) from the tautology Fx → Fx
Particular instances(where perceptual properties are said to belong): Individual, specific examples of something—like one specific painting, rather than paintings in general.
Philip Kitcher(as a philosopher who critiques evolutionary psychology arguments): A philosopher of science who examines how science actually works and what counts as genuine scientific evidence, rather than just-so stories.
Systematizing derivation(as the method uniting particular instances with generalizations): A logical process where you start with general principles and work through organized steps to show how specific facts follow from those principles.
Unificationist model(as the framework being described): A theory about explanation that says the best explanations are ones that bring together many different facts or phenomena under one big, unified set of principles—like how Newton's laws explain both falling apples and orbiting planets.

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