Because the propositions of arithmetic and algebra are exclusively about relations of ideas, these disciplines are more certain than others.
The reason, they said, is that the propositions of church law and Pope John Paul II's teachings on a bishop's care of his priests "have not been done".
By common consent, the foundation on which Ms. Fleming's stardom rests is the sheer beauty of her voice, a property as axiomatic as the propositions of Euclid.
By the way, talking of Marinetti: it's interesting that Marinetti's novels, which supposedly enact the propositions of his many manifestos, are much less interesting than the manifestos.
Mr. Nunn has said that when he decided to do the play, it was with Mr. Goodman in mind; together they "would test the propositions of the play and test my view of Shakespeare's humanism".
In the second he argued that the principles of morality are as certain as the propositions of mathematics and thus can be known by reason unassisted by faith, an approach sometimes called ethical rationalism.
Those involved in state ritual are brought onstage only to be mocked, and the propositions of contemporary logic-choppers are drawn into the unending whirl of paradox, spun out to their conclusions, and so abolished.
"We need to be much more sophisticated in how we handle these problems in our society and I don't think the propositions of Christopher Hitchens, Richard Dawkins, Daniel Dennett and a number of other writers have really furthered useful healthy debate.
According to Quine, the propositions of a scientific theory should first be expressed in terms of predicate logic, or the predicate calculus, a logical language consisting of names, variables (which may be substituted for names), predicates (or properties), logical connectives (such as and, or, and if…then), and quantifiers.
For Frege and Russell, the propositions of logic and mathematics are pristinely independent of sense experience, depending for their truth only on the structures of the abstract world they describe a world made accessible to human beings through the light of pure reason.
The propositions of geometry are empirical.
