I have a number of questions that I am interested in pursuing. I am interested in studying philosophy
and hopefully eventually teaching it. I am a Christian.
Some of the philosophical problems I am currently wrestling with:
Solutions to paradoxes (e.g. paradox of vagueness, paradox of the heap)
Solutions to the problem of evil
The implications/ relevance of Godel's incompleteness theorem to philosophy
Finding a good introduction book to logic (i.e. including argument construction, logical fallacies,
symbolic logic etc...)
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Here are some works and authors that might interest you on the topics you mention:
Solutions to Paradoxes: anything by Roy Sorenson. Especially Vagueness and Contradiction.I've just
finished reading it and his views on vagueness generally struck me as quite sensible. His analysis of
the paradox of the heap was very clear and accessible.
Solutions to the problem of evil: My advice to you as a Christian interested in philosophy would be to
read Alvin Plantinga's "Advice to Christian Philosophers" (if you haven't already read it). This was a
landmark event for Christian philosophy in the English speaking world and includes sections on both
the logical and probabilistic versions of the argument from evil. I believe that the article was published
in the journal Faith and Philosophy.Plantinga has a list of publications on his web page at the
University of Notre Dame site.
Godel: On this topic I would recommend Michael Potter's book Reason's Nearest Kin.
Logic: The best text book on logic that I know of (and lots of people disagree with me about this....) is
Quine's Methods of Logic.It probably doesn't qualify as introductory.