Visual experiences that reliably occasion mathematical knowledge satisfy the reliabilist criterion for evidential status, making the enabling/evidence distinction theory-laden rather than principled.
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Theory-laden(in epistemology (theory of knowledge))
Already shaped by or dependent on particular assumptions and theories you've already accepted, rather than being purely objective or neutral.
Visual experiences(as used in epistemology (the study of knowledge))
What you see and perceive through your eyes—the immediate sensory impressions of the world around you.
knowledge(Distinguished from mere true belief, which may be the product of indoctrination and need not exercise deliberative capacities.)
Justified true belief — true belief that has been arrived at through the exercise of deliberative capacities, including comparison of and deliberation among alternatives.
mathematical knowledge(philosophy of mathematics and epistemology)
Truths about numbers, shapes, and abstract objects that mathematicians consider proven and certain.
principled(as used in logic and reasoning)
Based on clear, consistent rules or standards rather than random choices or personal preference.