Hello, Sam Alexander here.
Here is my personal webpage:
Xamuel.com. My email is: alexander@math.ohio-state.edu
Here are my academic publications so far.
- Alexander, S. (2011) On
Guessing whether a Sequence has a Certain Property. The Journal of
Integer Sequences 14.
- Alexander, S. (preprint) The First-Order Syntax of Variadic Functions.
To appear in the Notre Dame Journal of Formal Logic.
- Alexander, S. (preprint) An axiomatic version of Fitch's paradox. To appear in Synthese.
- Alexander, S. (2011) A paradox related to the Turing Test. The Reasoner 5
(6), page 90.
- Alexander, S. (preprint) A Resolution For Some Knowledge Paradoxes.
Submitted.
- Alexander, S. (preprint) Infinitary Species: an idealized mathematical species
concept. Submitted.
- Alexander, S. (preprint) Highly Lopsided Information and the
Borel Hierarchy. Submitted.
- Alexander, S. (2006) Formulas
for Computable and Noncomputable Functions. The Rose-Hulman
Undergraduate Mathematics Journal 7 (2).
- Alexander, S. (2011) The Epistemological Surprise Examination Paradox. Notices of the American Mathematical Society 58 (4): 527 (Letters to the Editor).
Here are some unpublished papers:
- Alexander, S. (2011) A Cantor-Bendixson-like process which detects
Δ20. It turns out I re-discovered some results from the doctoral dissertation of
the great computer scientist William Wadge. As such, the paper is withdrawn.
Here are some online calculators I've programmed:
- The Inverse Graphing Calculator (featured on Reddit,
StumbleUpon, and many weblogs)
- The Formula Compiler
- The Patterns of Resemblance Calculator
- The Prenex Normal Form Generator
You can follow me on Twitter here.