A mathematician produced abstract systems unconstrained by the needs of science, and if scientists found an abstract system that fit one of their concerns, they could apply the system secure in the knowledge that it was logically consistent.
Second, because a synthetic a priori judgment is synthetic, not analytic, its truth is not determined by conceptual/truth-functional-logical/monadic-predicate-logical factors alone, and its denial is logically consistent.
It is argued that supposedly primitive thought is logically consistent but that the terms of this logic are not those with which modern Western culture is familiar.
If we observe one million tails, the probability of the hypothesis is very small indeed, but it is not 0, because any number of tails is logically consistent with a high probability of heads.
As absurd as it sounds, including "Crime and Punishment" in the prosecution's evidence is logically consistent with the current arguments for censorship, which revolve around the question of representation, and claim that portraying violence on the page or on the screen is enough to corrupt the audience, regardless of intention or message.
Stanley (2005: 127) defines fallibilism as "the doctrine that someone can know that p, even though their evidence for p is logically consistent with the truth of not-p"; Cohen (1988) defines it as the view that one can know on the basis of non-entailing reasons.
Also, his position is logically consistent.
While this is logically consistent with what Mr. Romney has said about his plan, I do not believe that is his intention or what will happen if he is elected president.
Besides, it is maintained that a stochastic approach hypothesizing stationarity and simultaneously admitting a scaling behaviour reproduces climatic trends (considering them as large-scale fluctuations) in a manner that is logically consistent, easy to apply and free of paradoxical results about uncertainty.
