So, as Russell explained, in opposition to everything asserted by Hegelians, he adopted the view that external relations are essential to making sense of basic mathematical notions, and this view also becomes central to his philosophy of logical atomism
David Bostock provides an exposition and evaluation of Bertrand Russell's logical atomism
Another benefit of our alternative expression is that it makes clearer the relation between Wittgenstein's Tractatus and Russell's constructive logical atomism
(in, say, his 1914 and 1918) as well as Carnap's later constructive undertaking in his Aufbau.
This new art trend is often correlated with Wittgenstein's early Tractatus Logico-Philosophicus (1921), in which he attempted to delimit the relationship between language and reality by establishing "the conditions for a logically perfect language," a form of logical atomism
or positivism which the philosopher later renounced.
He studied logic--Bertrand Russell's Philosophy of Logical Atomism
, and A.
Moore and, in a separate paper, with Gottlob Frege, Russell's logicism, his theory of descriptions and his substitutional theory, 'the theory of types', his method of analysis, his neutral monism and his metaphysics of logical atomism
, his structuralism and the absolute description of the world, his influence on knowledge by acquaintance to knowledge by causation, an essay on 'Russell, Experience, and the Roots of Science' and finally an essay on 'Bertrand Russell: Moral Philosopher or Unphilosophical Moralist'.
In that of Hempel and Oppenheim these ideals have become attenuated, although they seem to remain motivating, if tacit, elements, as in the project of logical atomism
, to which the deductive-nomological theory is related.
Important to the development of logical positivism was the perspective of logical atomism
and the works of Whitehead, Russell, Wittgenstein, and eventually, the Vienna Circle.
He then describes Wittgenstein's abandonment of logical atomism
in the late 20s in favour of the idea that elementary propositions may be logically related to one another in virtue of membership of systems of propositions ("logical holism").
It endured alongside powerful rivals, including Bertrand Russell's logical atomism
and the varieties of positivism that emerged from the Vienna Circle.
The early chapters (1-3) are devoted to elaborating these claims and to demonstrating that two theses widely attributed to the early Russell are false: i) that in Principia (co-authored with Whitehead), Russell advanced a ramified type-theory of entities, and ii) that Russell's logical atomism
is a form of reductive empiricism.
In the Tractatus Wittgenstein had made the idea that objects are simple and necessarily existent the basis of his logical atomism
and of his conception of logical analysis.