By Julius R Weinberg
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Additional info for An Examination of Logical Positivism (International Library of Psychology Philosophy and Scientific Method)
This, then, is a capital illustration of logical analysis in philosophy. The neutral portion of the Principia deals largely with the elementary propositions. The portion which cannot apparently be fitted into an empirical philosophy is conlogic of cerned with the realistic interpretation of infinity and the general proposition. By suppressing this portion of the work the Principia can be used as a point of departure for an empirical philosophy which attempts to reduce all meanings to empirical meanings (analytical) reduction of The by means of a purely logical concepts to empirical concepts.
Never- both cases theless, there is a sense in which all these pairs of facts have the same forms, and it is this sense in which Wittgenstein understands the pictorial nature of the elementary propositions. I shall identity consists, attempt to explain in what this formal to show wherein the difficulty lies. and Wittgenstein compares the relation of the proposition and objective to geometrical projection. It would, of course, be theoretically possible to represent every fact by a fact its of the reality 1 " same kind.
In other words, the degree of complexity of the relations among things is relative to the degree of complexity of the things related. Simple terms are simply related and complex terms are related in a complex manner. Now, assertions are made ascribing a simple relation among things of a given kind. Hence, simple objects which are logically prior to these relations must exist if the ascription is true. This is as fallacious a proof as the former, because it assumes that there are true propositions asserting simple relations among things without questioning whether there are such propositions or such relations to be asserted.