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DTSTAMP:20260407T161405Z
DTSTART;TZID=Europe/Brussels:20260519T144500
DTEND;TZID=Europe/Brussels:20260519T154500
SUMMARY:Bolzano\, continuum\, and the Part-Whole Principle
UID:20260408T171549Z-iCalPlugin-Grails@philevents-web-f5d4878dd-r5qzs
TZID:Europe/Brussels
LOCATION:Kardinaal Mercierplein 2\, Leuven\, Belgium\, 3000
DESCRIPTION:Abstract \;
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\nBolzano's concept of the continuum\, proposed in his last work Paradoxes of the Infinite\, has long been considered erroneous or even inconsistent. In this talk\, I will argue that Bolzano&rsquo\;s framework provides a plausible theory with a clear analogy in contemporary mathematics. He defines two quantities associated with continuous extension: magnitude and multitude. Magnitude corresponds to the Lebesgue measure. As for multitudes\, Bolzano insisted on the Part-Whole Principle\, in contrast to Cantor's notion of cardinality. Nevertheless\, multitudes can also be consistently interpreted within the framework of Numerosity theory. The relationship between Bolzano's magnitude and multitude corresponds to the relationship between the Lebesgue measure and numerosity.
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ORGANIZER;CN=Jan Heylen;CN=Sylvia Wenmackers;CN=Shahab Khademi;CN=Nena Bobovnik:
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