Constituent disciplines and publications
The Suite describes a composite field: constructing, justifying and developing mathematical and physical accounts, computational ways of obtaining results, modeling correspondences and operative expressions. A theorem, physical explanation, algorithm, interpreted model or usable notation can itself be the intended result. Each branch has its own questions and results; modeling and notation are also objects of development, not merely preparation for physical calculation. The field does not cover every form of intellectual work, all of mathematics or physics, or the whole of computer science.
The five DPFs describe its constituent knowledge and reusable practices. The publications themselves are not the discipline parts. Their connections concern what constructions mean, which operations are possible, what follows from them and what must change when their conditions change.
Patterns counts the complete pattern bodies in each linked DPF. Text, M characters gives the size of its full Markdown file, including its embedded Reference and supporting sections, in millions of Unicode characters (1 M = 1,000,000), with spaces and original line breaks included and values rounded to three decimals.
| Constituent DPF | Patterns | Text, M characters | Contribution to the field |
|---|---|---|---|
| Mathematical Thinking (MATH) | 20 | 0.480 | Objects, operations, transformations and proof obligations; derive consequences and construct alternatives. |
| Mathematical Modeling (MMP) | 17 | 0.575 | Build and revise the correspondence between a subject question and a mathematical construction; combine or change models while preserving the needed answer. |
| Physical Thinking (PHY) | 10 | 0.305 | Physical interactions, preparation and observation, admissible accounts and their limits; derive and test physical consequences. |
| Computational Thinking (CMP) | 15 | 0.371 | Algorithms, their meaning and correctness, resource demands, interaction and independent extensions; construct an effective way of obtaining a result. |
| Notational Engineering (NOT) | 8 | 0.221 | Construct usable expression rules, interpretations, transformations and relations between representations, including temporal or embodied notation; make the intended operations performable and changes recoverable. |
The Foundational Thinking DPF Suite Architectural Reference explains this whole, its alternatives and limits, and supports selection and connected use of the Methods. It is a publication about the discipline and its language, not a sixth discipline.