Armstrong's own truthmaker principle entails that distinct truths require distinct ontological grounds, which presupposes that sentence structure constrains what kinds of truthmakers are admissible.
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The principle that for any given truth, there must exist a truthmaker — an entity in the world that ontologically grounds that truth
truthmakers(as used in metaphysics and logic)
In philosophy, a truthmaker is the thing in the world that makes a statement true. For example, the existence of snow is what makes the statement 'snow is white' true.