This is the philosophical doctrine that all relations are internal to their bearers, in the sense that they are essential to them and the bearers would not be what they are without them. It was a term used in British philosophy around in the early 1900s. ^{[1] [2]} This Manual of Style has the simple purpose of making things easy to read by following a consistent format — it is a style guide. ... Absolute Idealism is a monistic ontology. ...

Some relations are clearly internal in this sense (four would not be four unless it were related to two in the way it is), and some relations are internal to their bearers under one description but not under another (a wife would not be a wife unless suitably related to a husband, but Mary would still be Mary had she not married). For example, Jack is taller than his wife, Joan. The relation is internal to both of them together, in symbolic form it can be given as: Jack(R)Joan, where R is the ordered relation of "Taller than".

The doctrine that all relations are internal implies that everything has some relation, however distant, to everything else, such a doctrine is ascribed by Russell and Moore to certain ideas by Hegel and the American philosopher, Charles Peirce. However neither of these philosophers themselves would describe there own beliefs in this manner, ie, as being doctrinaire. Russell associates it with pragmatism, objective idealism and the absolute idealism of Hegel. It also refers to a coherentism approach to truth. Georg Wilhelm Friedrich Hegel (August 27, 1770 - November 14, 1831) was a German philosopher born in Stuttgart, Württemberg, in present-day southwest Germany. ... Charles Sanders Peirce (pronounced purse), (September 10, 1839 – April 19, 1914) was an American polymath, physicist, and philosopher, born in Cambridge, Massachusetts. ... For themes emphasized by Charles Peirce, see Pragmaticism. ... Objective idealism is a metaphysics that postulates that there is in an important sense only one perceiver, and that this perceiver is one with that which is perceived. ... Absolute Idealism is a monistic ontology. ... Georg Wilhelm Friedrich Hegel (August 27, 1770 - November 14, 1831) was a German philosopher born in Stuttgart, Württemberg, in present-day southwest Germany. ... Coherentism - Wikipedia, the free encyclopedia /**/ @import /skins-1. ...

So for the example given above of Jack(taller than)Joan, the ordering of the relation Bertrand Russell claims is not internal to Jack and Joan taken together. The order is something external imposed on the couple Jack and Joan. This however leaves thes question as to the status of the ordering, it cannot be non-existent. A a further step in the process is needed to get beyond Russell's objection and this is to include the person doing the ordering in the example, so we have Jack is taller than Joan, according to Tom, or in symbolic form Jack(R)Joan)(R)Tom. However, here again we have another kind of ordering which is not included in the grouping. Bertrand Arthur William Russell, 3rd Earl Russell OM FRS (18 May 1872 – 2 February 1970), was a British philosopher, logician, and mathematician. ...

However, something approaching the holism of the doctrine of internal relations was later re-instated in the canon of Analytic Philosophy by Quine and his criticism of Russellian reductionism. Analytic philosophy is the dominant philosophical movement in University philosophy departments in English-speaking countries and in Scandinavia, although one of its founders, Gottlob Frege, was German, and many of its leading proponents, such as Ludwig Wittgenstein, Rudolf Carnap, Kurt Gödel, Karl Popper, Hans Reichenbach, Herbert Feigl, Otto Neurath... In computing, a quine is a program (a form of metaprogram) that produces its complete source code as its only output. ... Descartes held that, unlike humans, animals could be reductively explained as automata – De homines 1622) Reductionism in philosophy is a theory that asserts that the nature of complex things can always be reduced to (explained by) simpler or more fundamental things. ...

Russell had opposed the doctrine of internal relations in his abandonment of idealism by reverting to the age old doctrine of atomism and a version of Leibnizian, monadism, in which the world is conceived as composed of many distinct, independent entities, each of which can be considered in isolation from its relations to other things. The argument itself was first put down on paper in Plato's dialogue Parmenides and is often referred to as the argument of the One and the Many, part of which includes a version of Aristotle's Third Man Argument, which rejects Platonic Forms and introduces objects as being composed of both form and matter. In natural philosophy, atomism is the theory that all the objects in the universe are composed of very small, indestructible elements - atoms. ... The Monad was a symbol referred by the Greek philosophers as The First, The Seed, The Essence, The Builder, and The Foundation. Also referred to as Unity. ... Parmenides is one of the dialogues of Plato. ... The Third Man Argument (commonly refered to as TMA), first offered by Plato in his dialogue Parmenides, is a philosophical criticism of Platos own Theory of Forms. ...

A contemporary of Russell, the English philosopher, Alfred North Whitehead, maintained the necessity of a doctrine of internal relations for the theory of evolution: Alfred North Whitehead, OM (February 15, 1861 Ramsgate, Kent, England – December 30, 1947 Cambridge, Massachusetts, USA) was an English-born mathematician who became a philosopher. ... This article is about evolution in biology. ...

This material is in itself the ultimate substance. Evolution, on the materialistic theory, is reduced to the role of being another word for the description of the changes of the external relations between portions of matter. There is nothing to evolve, because one set of external relations is as good as any other set of external relations. There can merely be change, purposeless and unprogressive. But the whole point of the modem doctrine is the evolution of the complex organisms from antecedent states of less complex organisms. The doctrine thus cries aloud for a conception of organism as fundamental for nature. It also requires an underlying activity -- a substantial activity -- expressing itself in achievements of organism ^[3]

1. ^ G E Moore, 'External and Internal Relations', Proceedings of the Aristotelian Society (1919-20); reprinted in G E Moore, Philosophical Studies (1922)
2. ^ Russell ‘Pragmatism’ (1909) and ‘The Monistic Theory of Truth’ (1906-07)
3. ^ Whitehead, 1925, pages, 151-152