This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1910 Excerpt: ... P of classes 3K has the property n, in notation: Pn, in case Pn = P. Thus, for every P, Pn." Consider a class P of all classes P with common class Pn; this common class Pn belongs to the class P and is the only class P with the property D. to the second derived property Ppp: (9) P.O.PPPPp. 30. Properties of properties ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1910 Excerpt: ... P of classes 3K has the property n, in notation: Pn, in case Pn = P. Thus, for every P, Pn." Consider a class P of all classes P with common class Pn; this common class Pn belongs to the class P and is the only class P with the property D. to the second derived property Ppp: (9) P.O.PPPPp. 30. Properties of properties P.--A property P may have one or more of the following interrelated properties: f (1) mp; (2) 3Jl=n9K.3.2ftJ (3) W. 3. 3 m2 (4) a- 3 z mp. 3. m, We speak of properties Pl, P34, etc. J A property PSi is extensionally attainable, in the sense that for every class 3Jt there exists a superclass Tlp, the extension of 3Jt as to P, having the property P and contained in every superclass of 3Jt with the property P. (Cf. 27.) A property P1 is a property of the fundamental class 3ft. Every property P1 is equivalent to a closure property, in fact, to the closure CTo (cf. 34) as to the following transformation T0: T0 Tl = Tl or Tl, according as 3ft does or does not have the property P. In this notation, P being the class of all classes 9Jtp having the property P, and Pp being the class of all classes Wlpp having the property Pp, by (4//) we have accordingly we have, in the terminology of classes, -Ppp= (pp )n = ( pn )n = Fn--PP and hence, in the terminology of properties, as stated in the text, P. D.ppppp. The theory of 29-42 gains in perspionity when considered in connection with the suggestions of this footnote and those of the closing paragraphs of 28. fl) The fundamental class 3K has the property P. 2) If 9K is the greatest common subclass fl 9l of a class 31 of classes 3l (subclasses of 3K) having the property P, then 2U itself has the property P. 3) For every class 3Jt it is true that its extension Tip exi...
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
