I am going to examine this question in / within the context of the epistemology of memory.
I can see that both are frequently used online. Are both equally acceptable?
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To examine something (say, a single verse in the Bible) in context is always a good idea--good hermeneutics too!
On the other hand, to stay within the confines of, say, "the epistemology of memory," is to stick to the issue at hand, which also is a good idea.
In other words, and in my opinion, the word within seems more suitable in your exemplar than the word in.
Is there a huge difference in denotation between the two words? No. On the other hand, to consider a question in context is to examine the circumstances surrounding the question, whereas to examine a question within the context is akin to bracketing the question and ignoring the surrounding circumstances, at least temporarily.
If indeed there is a difference between the two couplets, and a choice needs to be made, that difference is pretty darn subtle!