Jackson's Mary argument demonstrates that complete physical knowledge is epistemically incomplete with respect to qualia, suggesting physical facts underdetermine phenomenal facts.
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Underdetermine(in epistemology (theory of knowledge))
When something doesn't give you enough information to figure out the complete answer—it leaves multiple possibilities still open.
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.
phenomenal facts(what Russellian monism tries to explain)
Observable, measurable facts about conscious experience—what things are actually like from a person's point of view, like the redness of red or the painfulness of pain.
qualia(The passage presents two competing definitions to contrast the views)
On the Cartesian picture: intrinsic qualities of inner ideas of which subjects are directly aware, necessarily shared by internal duplicates regardless of environment. On wide representationalism: representational contents of inner states whose nature is partly externally determined