Second quantization is studied. Creation and annihilation operators ar
e shown to be related on the same basis to both the algebra h(1) and t
o the superalgebra osp(1/2) which are shown to be compatible with both
Bose and Fermi statistics. The two algebras are completely equivalent
in the one-mode sector but, because of the grading of osp(1/2), diffe
r in the many-particle case. The possibility of an unorthodox quantum
field theory is suggested.