Eugine_Nier comments on The raw-experience dogma: Dissolving the “qualia” problem - Less Wrong
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Both riding a bike or seeing red involves the brain performing I/O, i.e., interacting with the outside world, whereas learning that 2+2=4 can be done without such interaction.
One might imagine so, but I expect there are no examples of it ever happening.
There are plenty of examples of less basic apriori truths being figured out once the basics are in place.