Winquist received his B.A. in philosophy from the University of Toledo (1965), his M.A. in philosophy from the University of Chicago (1968), and his Ph.D. in philosophical theology from the University of Chicago (1970).
Winquist's work is tactical as well as theoretical, showing what kind of work theology can do in contemporary society. He suggests that theology is closely akin to what Gilles Deleuze and Félix Guattari refer to as a minor intensive use of a major language. The minor intensive theological use of language, Winquist argues, pressures the ordinary weave of discourse and opens it to desire. Thus theology becomes a work against "the disappointment of thinking."