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Quote: Nothing and Universe are the limits of class extension; interpret 0 as Nothing and 1 as Universe

topics > all references > references a-b > QuoteRef: boolG_1854 , p. 47 III.13



Topic:
boolean values, binary numbers, and bit strings
Group:
sets

Quotation

Nothing and Universe are the two limits of class extension, for they are the limits of the possible interpretations of general names, none of which can relate to fewer individuals than are comprised of Nothing, or to more than are comprised in the Universe. ... An thus by assigning to 0 the interpretation Nothing, the law [0y=0] is satisfied ... [p. 48] A little consideration will here show that the class represented by 1 must be "the Universe," since this is the only class in which are found all the individuals that exist in any class.   Google-1   Google-2

Published before 1923


Related Topics up

Topic: boolean values, binary numbers, and bit strings (44 items)
Group: sets   (7 topics, 148 quotes)

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