| Mathematics - 1905
...well expect to hear the warning : Proonl, o procnl este profani ! 2. The Solution. — Says Russell : **Pure mathematics is the class of all propositions of the form "p implies** </," where;) and (] are propositions containing one or more variables, the same in the two propositions,... | |
| Arthur Thomas Shearman - Logic, Symbolic and mathematical - 1906 - 242 pages
...definition of Pure Mathematics, which runs as follows : * The Principles of Mathematics, p. 1 1 . " **Pure Mathematics is the class of all propositions...contains any constants except logical constants."** * Here the notion of implication connecting p and q involves some of the indefinables of Symbolic Logic,... | |
| Arthur Thomas Shearman - Logic, Symbolic and mathematical - 1906 - 242 pages
...Principles of Mathematics, p. 1 1 . " Pure Mathematics is the class of all propositions of the form '/> **implies q,' where p and q are propositions containing...contains any constants except logical constants."** * Here the notion of implication connecting p and q involves some of the indefinables of Symbolic Logic,... | |
| Arthur Thomas Shearman - Logic, Symbolic and mathematical - 1906 - 242 pages
...occupied throughout his book in justifying his definition of Pure Mathematics, which runs as follows : " **Pure Mathematics is the class of all propositions of the form ' p implies** y,' where p and q are propositions containing one or more variables, the same in the two propositions,... | |
| Edward C. Hegeler - Philosophy - 1910
.... ., but independent of*. in. All the propositions of pure mathematics are, according to Russell,** **of the form "p implies q," where p and q are propositions...q contains any constants except logical constants.** Logical constants are all notions definable2* in terms of the following: Implication, the relation... | |
| Paul Carus - Philosophy - 1915
...definition of "Pure Mathematics" promulgated in the Principles. "Pure Mathematics," Mr. Russell informs us, **"is the class of all propositions of the form 'p implies...neither p nor q contains any constants except logical** constants."55 Elsewhere he tells us, "The variable is, from the formal standpoint, the characteristic... | |
| May Sinclair - Idealism - 1917 - 355 pages
...definite object." (Ibid. p. 6.) i"Pure Mathematics is the class of all propositions of the form of **p implies q where p and q are propositions containing...following: Implication, the relation of a term to** the class of which it is a member, the notion of such that, the notion of relation, and such further... | |
| May Sinclair - Idealism - 1917 - 355 pages
...definite object." (Ibid. p. 6.) i " Pure Mathematics is the class of all propositions of the form of **p implies q where p and q are propositions containing...the same in the two propositions, and neither p nor** 9 contains any constants except logical constants. And logical constants are all notions definable... | |
| F. P. Ramsey, D. H. Mellor - Philosophy - 1925 - 257 pages
...logical concepts occurred. Thus Russell, in The Principles of Mathematics, defines pure mathematics as ' **the class of all propositions of the form " p implies...q contains any constants except logical constants** '-1 This reduction of mathematics to symbolic logic was rightly described by Mr Russell as one of the... | |
| Alan L. Mackay - Science - 1991 - 312 pages
...similar to a given class. I'rinciplrs of Mathematics 1903 (New York: Cambridge University Press) 59 **Pure mathematics is the class of all propositions...q contains any constants except logical constants.** . .. The fact that all Mathematics is Symbolic Logic is one of the greatest discoveries of our age;... | |
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