0.14 How to read the rest of the book

Each subsequent chapter can be approached through four phases. The detailed questions belong inside these phases rather than forming a long checklist of independent machinery.

Declare.

What is the current sketch, what category contains its models, which operations generate its conceptual space, and which diagrams or universal properties are promised?

Probe and localize.

Which observers make failure detectable, which Weil probes describe local alternatives, and what are the two repair classes? If the internal interchange law fails, where is \(\Theta _{\mathrm{int}}\) supported, and—when a classical cochain realization exists—what does \(\Omega _{\mathrm{cre}}\) reveal?

Control and construct.

Does a candidate local repair persist and compose into a coherent finite realization? Do no-change, parameter, in-language, measurement, observer, and domain-specific alternatives explain it? Is the surviving response assimilatory, proto-accommodative, or a proposed package comparison, and is its creative mode combinational, exploratory, or transformational?

Transport and admit.

What is preserved, forgotten, or newly predicted, and which evidence independent of proposal construction admits, rejects, or defers the change?

This four-phase lens is a reading aid, not a replacement for the more precise DIAL-X algorithmic contract in Chapter 10.

Chapter 1 first explains how a learner can obtain the provisional package on which these questions operate. Chapter 2 then turns them into a theory- extension package. Chapters 3 and 4 develop local geometry and executable skills. Chapter 5 makes algebraic theories the target artifact. Chapter 6 situates that target among the major traditions in computational creativity, after which Chapters 7–9 develop Boden’s three modes. Chapter 10 turns the double repair geometry into a family of target-specific algorithms before the testbeds and experimental architecture put them under controlled evaluation.