This is part of discussion brought up during 2013 election, and it have been a hot topic before. Rather than keeping discussion in comments of OddThinking's nomination I feel this is a better place for it.
By keeping a conservative and hard stance on references, some great answers are lost, the community gets a bit more close minded, and it alienates some people. The goal of the site should be to create as good answers as possible, and to minimize the amount of misinformation.
On the other side: by having a more liberal stance on references and being more open for original research, the amount of misinformation is increased. It risks lowering the credibility of the whole community.
Both brings good things, and both bring bad things. References ARE the core of the site, to maintain its credibility. That said, I would like to see the page open up more for original research. that said. If someone uses good deductive logic and makes proper answers based off that, it should be accepted as an answer.
That said, even with flawless logic, if what you base the logic off is wrong, your conclusion is wrong. This is not an easy thing to solve.