Georg Cantor on Truth
Browse 2 quotations attributed to Georg Cantor, catalogued under truth, with dates where available.
This page displays 2 quotations attributed to Georg Cantor and filed under "truth" in QuoteLineage. The selection is ordered by stored importance and quality scores, not citation counts. A topic label describes how an entry is catalogued; it does not establish the theme's importance in the author's work.
Attributed to Georg Cantor, entry #140167: "Mathematics, in the development of its ideas, has only to take account of the immanent reality of its concepts and has absolutely no obligation to examine their transient reality."
Attributed to Georg Cantor, entry #12367: "The old and oft-repeated proposition "Totum est majus sua parte" may be applied without proof only in the case of entities that are based upon whole and part; then and only then i…"
2 Quotes by Georg Cantor on Truth
"Mathematics, in the development of its ideas, has only to take account of the immanent reality of its concepts and has absolutely no obligation to examine their transient reality."
"The old and oft-repeated proposition "Totum est majus sua parte" may be applied without proof only in the case of entities that are based upon whole and part; then and only then is it an undeniable consequence of the concepts "totum" and "pars". Unfortunately, however, this "axiom" is used innumerably often without any basis and in neglect of the necessary distinction between "reality" and "quantity", on the one hand, and "number" and "set", on the other, precisely in the sense in which it is generally false."