Thanks to the comments and discussion, I was motivated to do more research into my own question. What I've found is that there have been some attempts to use semantic technologies for personal knowledge management (PKM).
I have not found evidence one way or the other as to whether these tools have been helpful for knowledge discovery, but they seem promising.
The main tool that would be accessible to the average user is Semantic MediaWiki, this is an extension to Wikipedia's popular MediaWiki software that adds KR functionality based on semantic web technologies.
Here is an article about how to set this up for PKM.
PDF Journal article Semantic Wikis for Personal Knowledge Management
-This article does a good job outlining a general theory of how to build a semantic knowledge application for PKM. The arguments are not tied to a specific software implementation.
PDF Journal article Learning with Semantic Wikis
-I haven't read this article yet, but from the abstract it sounds generally useful
I've been studying the field of knowledge representation (KR) and everything I've come across is focused on building knowledge systems for machine processing. I wonder why nobody seems to have applied these ideas to make digital KR systems for human beings to use as tool for active inquiry or personal knowledge management. Reading this stuff, I get the sense that it mostly about encoding a lot of boring facts rather than helping us with the edge of discovery.
Two off-the-cuff hypotheses:
1. Lack of economic incentives to develop high-quality general user facing software for KR. These tools are too hard to use effectively in their current state to have any kind of widespread adoption outside of profit-driven business interests.
2. Inability of existing KR systems to ergonomically conform to human patterns of learning and reasoning. If so, this might be due to a lack of sufficient understanding how to transition between informal natural language based reasoning and formalized reasoning, or it may simply be that the chosen formalisms are not the best ones for empowering human thought.
On the other hand, I might be dead wrong. Maybe there has been some brilliant use of this stuff for human discovery that I am unaware of. If so, I would love to know about it.