I was quite familiar with three of the finalists - White's The Ill-Made Knight, Van Vogt's Slan, and Smith's The Grey Lensman - all quite well-known classics of the genre, and all on my nomination list. Boye's Kallocain, which I had actually read earlier this year, was also one of my nominations . So the only new novel to me among the finalists was The Reign of Wizardry by Jack Williamson , which, having now read, I think of as a quick and pleasant read, but not particularly special.
My personal opinion is that The Ill-Made Knight has aged the best of the the finalists, and as a retelling if the Arthurian legend, it holds a special place in my memories. But I'd be almost as happy if Slan wins, as it's a book I remember with much nostalgia from my childhood - as I suspect do many socially outcast young nerds.
Heinlein's If This Goes On… and Coventry - both personal favourites among his early work - were on my nomination list for this category. Magic, Inc., however, has always seemed to be one of Heinlein's lesser works and I did not consider it for nomination.
I had read both of the de Camp/Pratt finalists - The Mathematics of Magic and The Roaring Trumpet - before, but long enough ago that I did not remember them clearly. I have now remedied that . Both of the de Camp/Pratt novellas were good, well-crafted comic adventure pieces, but I remain convinced that for technique, entertainment value, and maturity of themes and ideas, the two Heinlein science fiction pieces are the cream of this crop.
Heinlein's "Blowups Happen," Sturgeon's "It!” and Bates' “Farewell to the Master” were among my nominees - I was of course long familiar with the Heinlein novelette, but not Harry Bates' story, which I read for the first time this year and was quite taken with, or the Sturgeon novelette, which I also read earlier this year . Heinlein's “The Roads Must Roll" was a close contender for me, though it just missed being one of my nominations. The late addition to the finalists, A. E. Van Vogt's "Vault of the Beast" was new to me, and sadly, I was not impressed . All in all, "Blowups Happen" and "Farewell to the Master" made the strongest impression on me in this category.
Best Short Story
“Martian Quest” by Leigh Brackett, “Requiem” by Robert A. Heinlein, and "Tlön, Uqbar, Orbis Tertius” by Jorge Luis Borges - I adore Borges - were all among my nominations for this category, and both “The Stellar Legion," also by Leigh Brackett, and “Robbie” by Isaac Asimov were among the works I had under consideration up to the end . I think I'd be quite content if any of them were to win, but my secret hopes are for the Borges piece.
 short notes on the Bates and Sturgeon novelettes here: http://bibliogramma.dreamwidth.org/188154.html
 short notes on A. E. Van Vogt's novelette here: http://bibliogramma.dreamwidth.org/199299.html
 short notes on the two Brackett stories here: http://bibliogramma.dreamwidth.org/188154.html