Research Interests
Dissertation
I am currently finishing my
dissertation,
A Study
of Rational Intuition.
In it I address the question of how we acquire our knowledge of
abstract matters, and in particular our knowledge of mathematics. One
way to appreciate why philosophers find this question particularly
puzzling is to contrast it with the question of how we acquire our
knowledge of our immediate environment. Here the answer is obvious:
sensory perception. It is not so obvious how we acquire our knowledge
of mathematics. It is not by sensory perception. It is not just by
reasoning, since reasoning requires starting points arrived at without
reasoning. It is not just by instruction, since instruction depends on
the fact that at some point someone knows without instruction.
I defend the rationalist view that our
knowledge of
abstract matters derives from conscious experiences that are similar to
but importantly different from sensory perceptions. I call these
experiences rational intuitions. Rational intuitions give us knowledge
of abstract matters like numbers and shapes and universals by making us
aware of their natures. In my dissertation I develop a theory of
rational intuition. I aim to address questions like: How do rational
intuitions justify belief? What does it consciously feel like to have a
rational intuition? How can rational intuitions afford us knowledge of
things like numbers, given that the process cannot work in the way that
sensation does, since things like numbers are abstract and not in space
and time?
For more information about my
dissertation see my dissertation abstract in my
CV.
Other
One thing that
distinguishes the view I
defend in my dissertation is its commitment to explaining facts about
rational belief by facts about what it feels like to have certain
conscious experiences, namely rational intuitions. In further research
I would like to continue exploring the connection between conscious
experience and rational belief. In particular I would like to explore
those conscious experiences associated with imagination—which
is
how we learn about what is possible—memory—which is
how we
know about the past—and inference—which is how we
form
rational dependencies among our beliefs.