Logical positivists such as Rudolf Carnap and A. J. Ayer viewed any talk of gods as literal nonsense. For the logical positivists and adherents of similar schools of thought, statements about religious or other transcendent experiences can not have a truth value , and are deemed to be without meaning, because such statements do not have any clear verification criteria. As the Christian biologist Scott C. Todd put it "Even if all the data pointed to an intelligent designer, such a hypothesis is excluded from science because it is not naturalistic."  This argument limits the domain of science to the empirically observable and limits the domain of God to the unprovable.
Argument(s) for God’s being or existence form only a small portion of Anselm’s considerable and complex work, and his influence has been much wider and deeper than originating one perennial line of philosophical investigation and discussion. In his own time, he had several gifted students, among them Anselm of Laon, Gilbert Crispin, Eadmer (writer of the Vita Anselmi ), Alexander (writer of the Dicta Anselmi ), and Honorius Augustodunensis. His works were copied and disseminated in his lifetime, and exercised an influence on later Scholastics, among them Bonaventure, Thomas Aquinas, John Duns Scotus, and William of Ockham. For further discussion of Anselm’s influence, cf. Châtillon, 1959, Southern, 1963, Rovighi, 1964, Hopkins, 1972, and Fortin, 2001.