1. We can invent by deductively monitored deliberate controlled inductive aberration. In simple terms, we can invent by making hypotheses that are deliberately just slightly illogical and then examining the implications deductively to see whether the slight aberration is a new valid principle.
2. We can invent by linguistic translation. We state a problem in one form and translate it into a nearly equivalent, already solved scenario.
3. We can invent by linguistic reformulation. This is analogous to mathematical change of variable procedure and is quite different from the translation of topic 2.
4. We can invent by matrix inversion, e.g. we study the problem from the answer end instead of the usual question end.
5. We can invent by code-message reformulation. It is quite possible to generate, deliberately, figures of thought in which new solutions to problems become obvious. These “Figure of Thought” packages can be mathematical, technical, computer implement able, or in everyday language terms.