  We propose a computable Galois-connection between, on the one hand, Cattell's
16-Personality-Factor (16PF) Profiles, one of the most comprehensive and
widely-used personality measures for non-psychiatric populations and their
containing PsychEval Personality Profiles (PPPs) for psychiatric populations,
and, on the other hand, Szondi's personality profiles (SPPs), a less well-known
but, as we show, finer personality measure for psychiatric as well as
non-psychiatric populations (conceived as a unification of the depth psychology
of S. Freud, C.G. Jung, and A. Adler). The practical significance of our result
is that our Galois-connection provides a pair of computable, interpreting
translations between the two personality spaces of PPPs (containing the 16PFs)
and SPPs: one concrete from PPP-space to SPP-space (because SPPs are finer than
PPPs) and one abstract from SPP-space to PPP-space (because PPPs are coarser
than SPPs). Thus Cattell's and Szondi's personality-test results are mutually
interpretable and inter-translatable, even automatically by computers.
