To rectify this, he proposes a better set of terms for understanding mathematical stereochemistry and new approaches, and he discusses the classification of isomers, point-group symmetry, sphericities of orbits and
prochirality, the foundations of enumeration under point groups, symmetry-itemized enumeration and gross enumeration under point groups, enumeration of alkanes as 3D structures, permutation-group symmetry, stereoisograms and RS-stereoisomers, stereoisograms for tetrahedral derivatives and allene derivatives, stereochemical nomenclature, pro-RS-stereogenicity based on orbits.