The philosophy of reasoning, to be complete, ought to comprise the theory of bad as well as of good reasoning.
John Stuart MillThe maxim is, that whatever can be affirmed (or denied) of a class, may be affirmed (or denied) of everything included in the class. This axiom, supposed to be the basis of the syllogistic theory, is termed by logicians the dictum de omni et nullo.
John Stuart MillThe United States is no more a Christian nation because most of its citizens are Christians than it is a 'white' nation because most of its citizens are white. We are Americans because we practice democracy and believe in republican government, not because we practice revealed religion and believe in Bible-based government.
John Stuart MillThe process of tracing regularity in any complicated, and at first sight confused, set of appearances, is necessarily tentative; we begin by making any supposition, even a false one, to see what consequences will follow from it ; and by observing how these differ from the real phenomena, we learn what corrections to make in our assumption.
John Stuart Mill