Sentence examples for earlier logical from inspiring English sources

Discussing the earlier logical work of Kurt Gödel, Leavitt says that it established that the axiomatic system of Bertrand Russell and Alfred North Whitehead's "Principia Mathematica" was "inconsistent," when Gödel proved no such thing, and a definition of something called Skewes number is precisely backward.

Duns Scotus bitterly criticized it in his earlier logical writings.

The most radical form of the denial that religious experience has cognitive import was advanced by the early logical positivists, who held that all assertions or forms of expression involving a term such as "God" are literally meaningless because there is no way in which they can be verified or falsified.

The early logical works consist of the Summa grammatica, Summa de sophismatibus et distinctionibus and the Summulae dialectices [=Summulae super totam logicam].

According to the early, logical positivist, conceptions of language and science, the meaning of a proposition must be anchored in observable facts.

In his early logical commentaries, Scotus had argued that it was impossible to have two concepts that were related in a prior and posterior way, just as it was impossible to have a single concept that captured such a relationship.

The recognition of theoretical terms in the language of science by Carnap thus amounts to a rejection of an essential tenet of early logical empiricism and positivism, viz., the demonstration that all empirically significant sentences are translatable into an observation language.

It might even be suggested that Ludwig Wittgenstein's own movement from the early logical realism of his Tractatus Logico-Philosophicus to the meaning-as-use theory of the Philosophical Investigations is itself a movement towards a form of epistemological idealism.

On the other hand, Wittgenstein's later critique of analysis in the early (logical atomist) period of analytic philosophy, and Quine's attack on the analytic-synthetic distinction, for example, have led some to claim that we are now in a 'post-analytic' age.

Interest in this contemporary debate has led to a re-examination of some older views, especially the pluralism resulting from Carnap's famous tolerance for different linguistic frameworks and the work of Scottish/French logician Hugh McColl (1837 1909), who some have claimed was an early logical pluralist (Rahman, 2008).

This conceptual linking of methods of abstraction to ascertain truth and progressive politics is reminiscent of the radical politics of early logical positivists like Otto Neurath.