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.

Full-length articles

  1. Alexander, S. (2013) The Theory of Several Knowing Machines. PhD Dissertation.
  2. Alexander, S. (2013) Biologically Unavoidable Sequences. The Electronic Journal of Combinatorics 20 (1).
  3. Alexander, S. (2013) The First-Order Syntax of Variadic Functions. Notre Dame Journal of Formal Logic 54 (1): 47--59.
  4. Alexander, S. (2011) On Guessing whether a Sequence has a Certain Property. The Journal of Integer Sequences 14 (4).
  5. Alexander, S. (preprint) An axiomatic version of Fitch's paradox. To appear in Synthese.
  6. Alexander, S. (preprint) Infinite graphs in systematic biology, with an application to the species problem. To appear in Acta Biotheoretica.
  7. Alexander, S. (preprint) A machine which knows its own code. Submitted.
  8. Alexander, S. (preprint) Guessing, mind-changing, and the second ambiguous class. Submitted.
  9. Alexander, S. (preprint) Arithmetical algorithms for elementary patterns of resemblance. Submitted.
  10. Alexander, S. (2006) Formulas for Computable and Noncomputable Functions. The Rose-Hulman Undergraduate Mathematics Journal 7 (2).
  11. Alexander, S. (in preparation) The complexity of some cluster and species notions.
  12. Alexander, S. (in preparation) Self-graphing Cartesian equations.
  13. Alexander, S. (in preparation) Self-referential theories.

Short notes

  1. Alexander, S. (2011) The Epistemological Surprise Examination Paradox. Notices of the American Mathematical Society 58 (4): 527 (Letters to the Editor).
  2. Alexander, S. (2011) A paradox related to the Turing Test. The Reasoner 5 (6), page 90.
  3. Alexander, S. (2012) A purely epistemological version of Fitch's Paradox. The Reasoner 6 (4), pages 59-60.
  4. Alexander, S. (2012) Problem 11627. The American Mathematical Monthly 119 (2), page 162.
  5. Alexander, S. (2013) Problem 11688. The American Mathematical Monthly 120 (1), page 77.
  6. Alexander, S. (preprint) This sentence does not contain the symbol X. Submitted.

Here are some online calculators I've programmed:

  1. The Inverse Graphing Calculator (featured on Reddit, StumbleUpon, and many weblogs)
  2. The Formula Compiler
  3. The Patterns of Resemblance Ordinal Calculator

You can follow me on Twitter here.