One of the reasons why i like Twin Peaks is because of its dream logic or because it contains some of the characteristics of dreams. I guess this is why i like many of the films of DL, not just because of their dream logic of course, but much of it has to do with that. And i guess TP and fire walk with me is not the most dreamy Lynch has made. But sometimes something in one or the other episode seems to be inspired by the dreamworld. 

 But i am curious: Is it something specific in FWWM or TP that you feel evoke that characteristic dream - logic?

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The way I see it, Cooper is the one who, in a sense, brings the dream world with him in Twin Peaks. I mean he represents real authority but takes his dreams seriously and openly admits he uses his intuition and dreams to solve mysteries. That is quite an original take as far as investigative methods are involved (hence "Special" Agent.) His deadpan answers when asked about his methods eventually convince the simple people of Twin Peaks that they can trust this man, though they don't always understand him, if ever.

Coop gets the town attuned to his dream logic and lets citizens further explore with him this path, incarnating, if you will, a virtual version of Lynch himself, arriving in Twin Peaks, a new debut for Lynch on the small screen: a new investigation in a small town for Cooper. The TV experience seems to be a dream unfurling for Lynch and the same can be said about the town our favorite agent falls in love with. They are both magicians in a way in that they both wish to see what happens inbetween worlds for they feel this is where the real mystery lies. And, as after a dream, you then wake up from the show with more questions than answers.

The sound wind makes through the pines. The sentience of animals. What we fear and what lies beyond the darkness.

 Yeah, Cooper being a unorthodox detective. Cooper listening to his dreams as a way to solve crimes, that is something that sets him apart from other detectives. And in that way he brings the dream world to TP.

But more generally what is the dream aspects of the show? One thing i would like to mention is that the different inconsistencies between FWWM and TP and the books is kinda like something similar to what happens in dreams. Instead of being a fault it is a vital and important part of the show. Instead of making the show bad, the inconsistencies makes it better! Because it is part of the dream aesthetics.

Another thing that happens in dreams(in my dreams anyway, and im sure in other people's dreams too) is the fleeting form of characters identity. In dreams the characters sometimes morph together or apart. I think we find this very often in the show. Like the whole pack of Mike and Bobby characters. And Laura almost resurected in the form of maddie. This playing with personal identity, this often happens in dreams.
 

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yeah, it's the Lynch influence specifically: That 'dream logic' is most prevalent in the Lynch directed episodes; it's his unique eye, his influence over the dialogue, editing in sound effects etc that demonstrate this primarily.

EDIT: I agree with ya about the fluidity of identity that is containted within dreams, and the inconsistency between the film and the series...most people pick apart the continutity faults between fwwm and the series, but i find this most appealing to the narrative...that's also why all of the discussions on the board of 'what is black lodge, who is bob, what is mrs tremond etc' are pointless, because they are dream-like figments that lack a solid, logical explanation

At one point Jerry Horne questions if it all is just a dream after the Icelanders talked to Ben Horne about the Packard Mill burning down because Leeland had called them beforehand. I think this is where Lynch exposes the mode of the art to the viewer and is actually communicating a frustration that ABC is forcing him to reveal the identity of the killer in the future. In my own opinion, the show starts to dither a little here and doesn't seem to have that same dreamy effect.

When Major Briggs talks to his son Bobby at the Diner, he tells him about a vision about the future and purposely says, it was not a dream, explaining the difference between a dream and vision. While TP may be dream-like I believe Lynch had a vision akin the Briggs' and accomplished what he wanted to do in the first season with the public akin to Bobby where Lynch could sit and speak straight to his audience. But the show became anti-climatic to Lynch and Frost and instead of hiding that frustration it was secretly inserted into the script like the Beatles song, Let It Be before the band broke up. Maybe the Major (Lynch) was positive about the future because he felt that he became closer to Bobby (the public) from communicating the vision and making it believable. The vision was the dream.

Just my personal thoughts

There was a fiish..iinn the percolatrr!