Pondering upon the finiteness of the main cognition, the otherness and the relativity of the cognitive value-standard, Zhuang Zi indicated the suspicion of cognitive activities.
In this paper, we discuss the characterization of finiteness ofSemilattices of rectangular bards of the two special kinds of semi-groups and finiteness of completely O-simple semigroups by chainconditions on the lattices of their congruences.
However, Kuratowski finiteness would fail for the same set of socks.
The finiteness of natural resources determines its scarcity.
And we also give some finiteness and vanishing results for generalized local cohomology modules under some conditions.
The rational finiteness and the importance of the experience are the philosophy foundation of the discretional non-prosecution system.
The finiteness for associated primes of the generalized local cohomology modules and the weakly Laskerian properties of some Ext-modules