Continuing our slow read on phaneroscopy, here is the next slide of André De Tiennes slideshow posted on the Peirce Edition Project (iupui.edu) <https://peirce.iupui.edu/publications.html#presentations> site. As this slide ends with a question, I will post the next slide (giving De Tiennes answer) within a day, so as not to prolong the suspense.
Gary f. Text: Shocking news! Mathematicians are phaneroscopists, too! They must be, somehow. After all, before they come up with fundamental theorems of all sorts, they have to conduct a ton of observations based on diagrams and imaginative constructions. They contemplate ideal forms. They are looking for patterns and patterns of patterns, which they need to manifest one way or another but artificially (though not arbitrarily). Yet, phaneroscopy as such does not and cannot provide mathematics with any fundamental principle. WHY?
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