Quoting PoN:
"The Physics of Notations incorporates both a Type IV theory (Section 3) and a Type V theory (Section 4), which are higher evolutionary forms than the CDs framework (Type I). However it should not be seen as a direct competitor for the CDs frame-work as its scope is much more modest (visual notations rather than cognitive artifacts). Instead, it should be seen as complementary: it provides exactly the type of detailed, domain-specific analysis that the authors of the CDs framework argued was necessary to supplement the “broad brush” analysis provided by CDs"
Type 1: Theory for analyzing
Type 4: Theory for predicting and explaining
Type 5: Theory for design and action