Selected Papers and Essays
For a list of publications, please see my CV. A
number of the papers here are works in progress. Comments
are welcome, especially on the works in progress. Click on the title
of a paper if you want to read the paper.
Quick links: [Metaphysics and logic]
[Philosophy of religion and theology]
[Ethics] [Mathematical papers]
Philosophical and theological papers
Metaphysics and logic
- "Identity and the Copying of Minds".
I argue against psychological theories of identity that claim that in cases
where one's personality and memories are moved into the brain of another, we
move with them. I am not entirely convinced by my arguments here, I must confess, but
I think they deserve some thought.
- "Freedom, Determinism and Gale's
Principle." I give an argument for incompatibilism on the
basis of a plausible supervenience principle and a weakened version of
Gale's principle that if all my actions were intentionally caused by another
person, then none of my actions were free.
- "Special Relativity and
Endurantism." I identify a fallacy in Hales and Johnson's
argument that endurantism is incompatible with special relativity and argue
that an improvement on their argument also does not succeed.
- "Processes, Marks and
Light-Spots." I give a simple counterexample to Salmon's
account of causal processes in terms of mark transmission. The example
has the advantage that not only does it appear to qualify as transmission of
a mark under Salmon's definition of mark transmission, but it appears to actually
be an instance of mark transmission.
- "Animalism and Brains". I argue that it is possible for
a human animal to survive the loss of all bodily parts other than the brain.
- "B-Theory, Language and Ethics",
Philosophy of Time Group Meeting, Eastern APA, 2006.
- The Principle of
Sufficient Reason: A Reassessment, Cambridge
University Press, in 2006. No longer available online, but can be
purchased from amazon.com.
- "Ex Nihilo Nihil Fit: Arguments New and Old
for the Principle of Sufficient Reason", presented at the American
Catholic Philosophical Association meeting, Cincinnati, November, 2002
- "Comments on John Haldane's 'The Soul'",
presented in Pittsburgh, April 5, 2003. (Handout
is also available.)
- Possible Worlds: What They Are Good For and
What They Are. Doctoral Dissertation, University of
Pittsburgh, 2001.
- "The Actual and the
Possible." In Richard M. Gale (ed.), Blackwell
Guide to Metaphysics, Oxford: Blackwell, 2002. A discussion of two
contemporary views of the nature of possibility and possible worlds, and a
theistic alternative. Includes a new version of the Third Way, and
ethical objections to David Lewis's extreme modal realism.
- "David Lewis's Counterfactual Arrow
of Time." Published in Nous. I argue that David Lewis's counterfactual
account of the direction of time fails in a number of cases, and in other
cases only succeeds because the cases are chosen by us in ways that cohere
with our time-reversal-asymmetric concerns.
- "The Subjunctive Conditional Law of Excluded
Middle." Work in progress. This Law claims
that for any pair of propositions p and q, it is true that were p to
hold, q would hold or it is true that were p to hold, not-q would
hold. I show that given plausible suppositions the Law is false.
- "The Cardinality Objection
to David Lewis's Modal Realism." Philosophical Studies
104 (2001) 167-176. The collection of all possible worlds
is too large to have cardinality and hence possible worlds cannot be
existent concrete entities.
- "What Are Aristotelian Forms?"
Work in progress. Prescinding from detailed exegesis of
texts, what kind of an entity is an Aristotelian form? Can the notion
be made intelligible in a contemporary setting? What would one be
saying about the world by saying that there are Aristotelian forms?
- "Recombination, Alien Properties and Laws of Nature" A criticism of recombinationist theories
of possibility, and an argument against views that utterly reject alien
properties.
- "Functionalism and Counting Minds."
Work in progress. In general there is no fact of
the matter as to how many machines are computing any given program.
Since there plainly is a fact of the matter as to how many persons are
conscious in a given way, it follows that being a conscious person is not
simply a matter of being an appropriate computing system.
- "Can Two Equal Infinity? The Attributes
of God in Spinoza." Work in progress. Spinoza's God has
"infinite attributes", even though only Extension and Thought are mentioned
explicitly? I argue that Spinoza, given his commitment to the truthmaker
principle that any true proposition is made true by something positive, can
neither say nor deny that Extension and Thought are the only two attributes.
I end with a truthmaker-based ontological argument for the existence of God
that might be of interest independently of Spinoza.
- "Lewis's Semantics for Subjunctive
Conditionals and Some Plausible Rules of Inference." [PDF]
Forthcoming in Synthese. I show that on a plausible interpretation of the
closeness relation between worlds, Lewis's account of subjunctive conditionals
fails to support two obvious rules of inference concerning conjunctions of
consequents or disjunctions of antecedents. I offer a modification of
Lewis's semantics that solves this problem, but note that some difficulty
still remains. I also characterize when the subjunctive conditional law
of excluded middle holds.
- "Causation and the Arrow of Time."
I argue that the direction of time probably supervenes on the directions of
causal relations.
Philosophy of religion and theology
- "Love and Obedience" I give an account
showing how duties of love entail duties of obedience, especially where the beloved
is God.
- "Should we prevent evil if
sceptical theism is right?"
I argue that the answer
is affirmative, pace Oppy.
- "Some recent progress on the
cosmological argument." [PDF] Presented at the Two Tasks
Conference, Alexandria, Virginia, June, 2006.
- "How not to reconcile
evolution and creation." Presented at the University of
Notre Dame, March 8, 2006.
- "Altruism, Teleology and
God." [PDF] Presented at the Harvard Divinity School,
December, 2005.
- "The Cosmos as a Work of Art."
Presented at Epiphanies of Beauty conference, University of Notre Dame, November,
2004.
- "Prophecy without Middle Knowledge."
Accepted for publication in Faith and Philosophy subject to
revision. I argue that the best available way to solve the problems with how
prophecy works given Middle Knowledge requires the invocation of a
principle of relevant similarity which states that an agent would
have acted in the same way had the circumstances been relevantly
similar. But if one is willing to allow this for a fairly lax measure
of relevant similarity, then one can get prophecy without Middle
Knowledge, assuming only divine foreknowledge.
- "Programs, Bugs, DNA and a Design
Argument." I give an analogical argument for the existence
of a designer of our DNA based on the applicability of the concept of a
genetic disorder.
- "Can one infer design without knowing
the function or purpose of a thing?" While the principle
still seems plausible to me, in this very short "paper" I
present an apparent counterexample.
- "On Three Problems of
Divine Simplicity." Presented at the Society of
Christian Philosophers satellite session at the American Catholic
Philosophical Association meeting, 2003. I consider three of the
most serious philosophical objections to the doctrine of divine simplicity
and offer reflections that make these objections less poignant, and that in
fact suggest that the incoherence claimed to be there might not be there.
- "Fine and Coarse Tuning,
Renormalizability and Probabilistic Reasoning." Presented at a workshop on fine-tuning,
Notre Dame University, April, 2003.
- "Comments on Alvin Plantinga's 'Games
Scientists Play'." Presented in Pittsburgh, April 5, 2003 at
a conference in honor of Richard M. Gale. (Handout is also available.)
- "A Restricted Principle of Sufficient Reason and the
Cosmological Argument." Accepted by Religious Studies. Some
people reject the Principle of Sufficient Reason (PSR) because of apparent
counterexamples like libertarian free will, quantum mechanics or the
conjunction of all contingent propositions. I offer a natural
restriction of the PSR that takes care of all such supposed counterexamples, a
restricted version nonetheless sufficiently strong to ground a Cosmological Argument.
- "A New Free Will Defense."
Forthcoming in Religious Studies. If creatures are to have significant free will, then God's essential
omnibenevolence and essential omnipotence cannot logically preclude him from
creating a world containing a moral evil. This is argued for with no
reliance on subjunctive conditionals of free will, but in several
independent ways based on premises that many will accept.
- With Richard M. Gale. "A Response to
Almeida and Judisch." International Journal for the
Philosophy of Religion (forthcoming). A response to some
criticisms of our new cosmological argument.
- With Richard M. Gale. "A New
Cosmological Argument." Religious Studies 35
(1999) 461–476. For every true proposition p, possibly p has an
explanation. We argue from this weak version of the principle of
sufficient reason that there exists a powerful and intelligent
Designer-Creator of the universe.
- "Christian Faith and
Belief." Forthcoming in Faith and Philosophy. Louis
Pojman (as well as others in different ways) has claimed that a Christian
does not need to believe the propositions of the Christian faith even with
epistemic probability 1/2. However, once we consider the nature of
ethical decision making in cases of uncertainty about moral principles, we
see that for many if not most Christians a commitment to acting in Christian
ways requires assigning an epistemic probability of at least 1/2 to
Christianity.
- "Faith, Paradox, Reason, and the Argumentum
Spiritus Sancti in Climacus and Kierkegaard." (Short
version.) Presented
at the meeting of the Soren Kierkegaard society at the 2001 Central APA.
This is a pseudonymous production, mirroring the pseudonymous productions
of Kierkegaard, exploring both the nature of the absurdity involved in faith
according to Climacus and Kierkagaard as well as broader issues of the
interpretation of the Concluding Unscientific Postscript.
- "Faith, Paradox, Reason, and the Argumentum
Spiritus Sancti in Climacus and Kierkegaard." (Long
version.)
- "Samkara's Principle and Two Ontomystical
Arguments." International Journal for Philosophy of
Religion 49 (2001) 111-120. Two ontological arguments
are given, one of them apparently new, and the crucial possibility premises
in them are argued for on the basis of mystical experience.
- "A Religious Experience Argument for
the Existence of a Transcendent Holy Being." Work in
progress. Experiences fall into irreducible classes. Any
class of actual cognitive experiences contains an experience which is right,
in the sense that it is veridical or at least that which it purports about
reality is indeed so. Mystical experiences of a transcendent holy
being constitute a class of cognitive experiences. Hence there is a
transcendent holy being.
- "Meyer's proof of the existence of God."
A summary of Meyer's attempt at proving the existence of God by means of
a strong causal principle and Zorn's Lemma from set theory.
- "The
Unwritten Esther." A short prize-winning essay on the Book
of Esther.
Ethics
- "Plans and their
Accomplishment", Maritain Society Group Meeting, Eastern APA, 2006
- "Cooperation with past evil
and use of cell-lines derived from aborted fetuses." I
argue for a moderate position on which the use of such cell-lines has a
presumption against it, but is not absolutely forbidden. At the same
time, I analyze why precisely there is such a presumption. This
analysis has interesting connections with the retributive theory of
punishment.
- "Love and Double Effect."
Presented at the Formation and Renewal Conference, Notre Dame
University, October, 2003
- "Eight Tempting Big-Picture Errors in
Ethics." Presented at the University Faculty for Life
Conference, Georgetown University, May 31, 2003
- "Kantian Maxims and Lying."
Work in progress. Christine Korsgaard argued that Kant's
first Categorical Imperative (CI) allows you to lie to people who try to
deceive you about their intentions. I argue that Korsgaard's argument
rests on what appears to be a subtle misunderstanding of the nature of a
Kantian maxim.
- "Lying, Deception and
Kant." Work in progress. A common objection
to Kant is that his view prohibits lying under all circumstances. But
there is a distinction between lying and deception, and some forms of
deception are clearly permissible. A more serious objection to Kant is
that his view prohibits all deception.
- "Not Out of Lust But in Accordance With
Truth: Theological and Philosophical Reflections on Sexuality and Reality." Forthcoming in Logos. An account of Christian sexual ethics centered on the
notion of truth and reality.
- "Christian Sexual Ethics and Teleological
Organicity." The Thomist 64 (2000) 71-100.
An account of Christian sexual ethics,
particularly focusing on the immorality of contraception, centered on an
analysis of the unitive dimension of sexuality and an argument that the
unitive dimension is dependent on the procreative.
- "Lying
and speaking your interlocutor's language." [Link might work
only if your institution subscribes to The Thomist.] The Thomist
63 (1999) 439-453. If one ought not lie even to the Gestapo
officer at the door when one is hiding Jews, what should one do?
- "I was once a fetus: an
identity-based argument against abortion." Work in
progress. To kill me earlier in my life inflicts a greater harm
on me by depriving me of more. I was once a fetus. Therefore, to
have killed me then would have deprived me of more than to have killed me
now. Since it is the harm to me that makes it wrong to kill me now, it
would have been wrong to kill me when I was a fetus. I also give a
Rawlsian argument against abortion based the claim that I was once a
fetus. Most of the paper is a defense of the claim that I was once a
fetus.
- "I was once a fetus: that is why abortion
is wrong." Work in progress. A shorter variant of
the above argument.
- "Maternal love and abortion."
Work in progress. Some people
are opposed to abortion in general because they loved their children when
these were fetuses. While this may be a psychological explanation of why
these people believe thus, and perhaps an argument for these people not to
abort the children they love, it does not at first sight seem to be an
argument for the prima facie wrongness of abortion in general, and especially
not an argument that other people have any reason to pay attention to. I will
argue that on the contrary the phenomenon of mothers loving their unborn
children gives one a significant reason to think abortion to be prima facie
wrong in general.
Mathematical papers
- Symmetrization, Green's Functions,
Harmonic Measures and Difference Equations. Doctoral
dissertation, University of British Columbia, 1996. In .dvi.gz format.
- "A general
Hsu-Robbins-Erdos type estimate of tail probabilities of sums of independent
identically distributed random variables." Draft of a paper
forthcoming in the Periodica Mathematica Hungarica. A very general theorem
characterizing the convergence of sums of terms of the form tnP(|X1+...+Xn|>ean)
where X1,...,Xn are independent and
identically distributed.
- "From the
Polya-Szego symmetrization inequality for Dirichlet integrals to comparison
theorems for p.d.e.'s on manifolds." Presented at the 8th
Symposium on Classical Analysis, Kazimierz Dolny, Poland, September, 1995.
A method for proving symmetrization inequalities for some elliptic
p.d.e.'s on manifolds equipped with appropriate isoperimetric inequalities
is outlined.
- With Stephen Montgomery-Smith.
"A comparison
inequality for sums of independent random variables." Journal
of Mathematical Analysis and Applications 254 (2001) 35-42.