I have to ask, because I really don't understand how DeWitt's statement at the beginning of this episode is presented as relevant to the discussion. I'm talking about this:
QuoteThe adoption of the Euclidean textbook as a model involved, of course, the procedure by deductive reasoning. The Twelve Elementary Principles were first stated and then demonstrated like theorems. Each theorem. in turn, once demonstrated, became available as a major premise for the deduction of subsidiary theorems. [...]
Where his 'of course' chain of statements come from? How do we know about the adoption of the Euclidean textbook and its consequences? What Twelve Elementary Principles? Where were they first stated? Where were they demonstrated like theorems? How each of this theorem that we know nothing about became a premise for anything?
Is there anything out there that would validate all these claims as DeWitt doesn't provide any sources for his statements? If they are nothing but his speculations, I don't see how they can be considered relevant to the discussion.