By David Bostock
David Bostock offers a serious appraisal of Bertrand Russell's philosophy from 1900 to 1924--a interval that's thought of to be an important in his occupation. Russell constructed his concept of good judgment from 1900 to 1910, and over these years wrote the recognized paintings Principia Mathematica with A. N. Whitehead. Bostock explores Russell's improvement of 'logical atomism', which applies this good judgment to difficulties within the conception of data and in metaphysics, and used to be crucial to his philosophical paintings from 1910 to 1924. This booklet is the 1st to target this significant interval of Russell's improvement, analyzing the 3 key components of common sense and arithmetic, wisdom, and metaphysics, and demonstrating the iconic worth of his paintings in those parts.
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Extra resources for Russell's Logical Atomism
Example text
Thus ‘every man’ and ‘all men’ are now identified, and both are taken to be short for ‘8x (if x is human, then . . )’. Similarly ‘a man’ and ‘some man’ are now identified, and both are taken to be short for ‘9x (x is human, and . . )’. e. written shortly after PoM was completed, suggests that ‘we shall have to say that “the present king of France is bald” is neither true nor false’ (Collected Papers, vol. 4 [1994: 286]). But this mss apparently accepts that it is a proposition, though it lacks a truthvalue, whereas }73 of PoM claims that it is not a proposition at all.
0,5> …. We reorder this as a singly infinite array, by taking it in the order indicated by the arrows, namely <0,0>, <0,1>, <1,0>, <2,0>, <1,1>, <0,2>, <0,3>, <1,2>, <2,1> . . It is obvious that this array can be matched one-to-one with the natural numbers in their natural order, and is therefore denumerable. It follows that the class of all signed integers is denumerable, and so—more surprisingly—is the class of all rational numbers. But the class of all real numbers is not denumerable, and this is a crucial theorem of Cantor’s theory.
79. Cf. letter to Jourdain of March 1906, published in Grattan-Guinness [1977: 79]. 3 On Denoting 1 The early theory of denoting To appreciate the value which Russell himself placed upon this well-known article, we must first go back to his earlier theory of denoting, which was published as chapter V of his PoM. The theory concerns what he calls ‘denoting phrases’, and these consist of a common noun or noun phrase (such as ‘man’ or ‘man who broke the bank at Monte Carlo’) preceded by what is now called a ‘determiner’.