Category: Cantor
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World + God = God: A Mathematical Analogy
The Big Henry offers the following comment on my post, World + God = God? "World + God = God" is (mathematically) analogous to "number + infinity = infinity", where "number" is finite. If God embodies all existence, then God is "existential infinity", and, therefore, no amount of existence can be added to or subtracted…
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Infinity and Mathematics Education
A reader writes, Regarding your post about Cantor, Morris Kline, and potentially vs. actually infinite sets: I was a math major in college, so I do know a little about math (unlike philosophy where I'm a rank newbie); on the other hand, I didn't pursue math beyond my bachelor's degree so I don't claim to…
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The Axiom of Infinity as Easy Way Out?
I posed the question, Can one prove that there are infinite sets? Researching this question, I consulted the text I studied when I took a course in set theory in a mathematics department quite a few years ago. The text is Karl Hrbacek and Thomas Jech, Introduction to Set Theory (Marcel Dekker, 1978). On pp.…
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A Cantorian Argument Why Possible Worlds Cannot be Maximally Consistent Sets of Propositions
A commenter in the 'Nothing' thread spoke of possible worlds as sets. What follows is a reposting from 1 March 2009 which opposes that notion. ……………. In a recent comment, Peter Lupu bids us construe possible worlds as maximally consistent sets of propositions. If this is right, then the actual world, which is of course one…