1975•MacSphere (McMaster University)Open access
Transfinite Cardinal Arithmetic
Kathryn Anne Murphy
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Abstract
The esta.blishinC of the principles of mathematics and the natural sci -1 ences is the ~esronsibility. of metaphysics ••• The cencr8.ltheory of 'sets ••• belon~ entirely to met<!-.physics'.'You can easily convince yourself of: this by testin(i the caterrories of: cardinal nwnber and ordin?l type, these f:und;unental concepts of set t;oeory ,e "i th res":,pect to the de(iree of their rrerierality, and also notice that the reaSO~ing ~them is quite pure, so that" cy ha~no room f:or olay., is is in no way che~ged by the pictures which I, like all metaphysicians, sonetimes make use of to explain metaphysical concepts.~or does the fact that ~f work appears in r.Jathemi1;ical journals af:f:
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