  William Tait and Peter Koellner have written on the topic of which reflection
principles are intrinsically justified. Phillip Welch and Sam Roberts have
recently sought to motivate much stronger reflection principles. This work also
had some similarities with previous work of Victoria Marshall's on reflection
principles, as may be seen from considerations which we will seek to articulate
in what follows. The statement of our three philosophical theses shall be given
in the Introduction. We will present a set of technical results in support of
three philosophical theses which will be articulated at the end of the
Introduction.
