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In the setup of ghost condensation model the generalized sec
ond law of black hole thermodynamics
can be respected under a radiatively stable assumption that
couplings between the field responsible
for ghost condensate and matter fields such as those in the Sta
ndard Model are suppressed by the
Planck scale. Since not only black holes but also cosmology a
re expected to play important roles
towards our better understanding of gravity, we consider a c
osmological setup to test the theory
of ghost condensation. In particular we shall show that the d
e Sitter entropy bound proposed by
Arkani-Hamed, et.al. is satisfied if ghost inflation happene
d in the early epoch of our universe and if
there remains a tiny positive cosmological constant in the f
uture infinity. We then propose a notion
of cosmological Page time after inflation.
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