One possible fate of information lost to black holes is its preservati
on in black hole remnants. It is argued that a type of effective field
theory describes such remnants (generically referred to as informons)
. The general structure of such a theory is investigated and the infin
ite pair production problem is revisited. A toy model for remnants cla
rifies some of the basic issues; in particular, infinite remnant produ
ction is not suppressed simply by the large internal volumes as propos
ed in cornucopion scenarios. Criteria for avoiding infinite production
are stated in terms of couplings in the effective theory. Such instab
ilities remain a problem barring what would be described in that theor
y as a strong coupling conspiracy. The relation to Euclidean calculati
ons of cornucopion production is sketched, and potential flaws in that
analysis are outlined. However, it is quite plausible that pair produ
ction of ordinary black holes (e.g., Reissner-Nordstrom or others) is
suppressed due to strong effective couplings. It also remains an open
possibility that a microsopic dynamics can be found yielding an approp
riate strongly coupled effective theory of neutral informons without i
nfinite pair production.