Its arguments are largely derivative of Sadducismus Triumphatus by Joseph Glanvill. A copy of Glanvill's book was in Mather's library when he died. Still, Mather deserves the credit for coming up with a far superior title.
Wonders of the Invisible World (http://etext.lib.virginia.edu/toc/modeng/public/Bur4Nar.html) in etext.
wikipedia.org dumped 2003-03-17 with terodump