Isnât the problem with GARCH, as used by LTCM, is that it depends on known, previously observed, and therefore quantifiable data? The unknown or unobserved is, obviously, absent.
Humeâs philosophy (problem of induction) was an attempt to add intellectual legitimacy to his friend Bishop Berkeleyâs attack on Newtonian physics, specifically the absence of a superior guiding the cosmos. Berkeley was also hostile to calculus.
Induction provides a degree of certainty, not absolute.
Grant.