The Collaborative International Dictionary of English v.0.48:

Paralogize \Pa*ral"o*gize\, v. i. [imp. & p. p. Paralogized;
   p. pr. & vb. n. Paralogizing.] [Gr. paralogi`zesqai.]
   To reason falsely; to draw conclusions not warranted by the
   premises. [R.]
   [1913 Webster]