====== Quantum Theory Two Ways ======

In this section, we will look at two fairly informal ways to arrive at the basic mathematical formalism for quantum theory.  It is intended to be accessible to those who have not seen the quantum formalism before, and it may seem trivial to those who have taken 

===== The Two Churches of Quantum Theory =====

==== The Church of the Larger Hilbert Space ====

==== The Church of the Smaller Hilbert Space ====

===== Outline of this Section =====

===== Next Steps =====