  It has been proposed that quantum mechanics and string theory share a common
inner syntax, the relational logic of C. S. Peirce. Along this line of thought
we consider the relations represented by spinors. Spinor composition leads to
the emergence of Minkowski spacetime. Inversely the Minkowski spacetime is
istantiated by the Weyl spinors, while the merge of two Weyl spinors gives rise
to a Dirac spinor. Our analysis is applied also to the string geometry. The
string constraints are represented by real spinors, which create a
parametrization of the string worldsheet identical to the Enneper-Weierstass
representation of minimal surfaces. Further, a spinorial study of the AdS3
spacetime reveals a Hopf fibration AdS3 \rightarrow AdS2. The conformal
symmetry inherent in AdS3 is pointed out. Our work indicates the hidden ties
between logic-quantum mechanics-string theory-geometry and vindicates the
Wheeler's proposal of pregeometry as a large network of logical propositions.
