Sets and Possible Worlds
This semester I'm directing an independent study on modal logic with a couple of students with strong math background. Yesterday some questions about sets and possible worlds came up, so I wrote up some notes for my students on the subject. This blog post is adapted from those notes. Introduction The development of axiomatic set theory was launched by consideration of Russell's Paradox: let A be the set of all sets that do not contain themselves. Does A contain itself or not? (This was on Existential Comics just yesterday!) The collection of axioms mathematicians developed to avoid paradox has the...
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Omniscience and Simplicity
The end of the semester is fast approaching, which means an even more hectic academic schedule, followed by a vacation. This post will be a brief remark on Sobel's treatment of omniscience, which completes his interlude on divine attributes. Following this, I will leave off until after the holidays, at which point I will deal with the remainder of the book, which treats arguments against the existence of God, and also 'Pascalian' practical arguments for belief in God. The main puzzle Sobel finds with omniscience is one pushed by Patrick Grim. The thrust of the argument is this: (1) a...
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Topic(s):
Abstract Objects
,
Contemporary Thinkers
,
Divine Attributes
,
Divine Simplicity
,
Jordan Howard Sobel
,
Metaphysics
,
Omniscience
,
Ontology
,
Patrick Grim
,
Philosophical Theology
,
Philosophy
,
Propositions
,
Timothy Williamson
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