PEIRCE WAS PRESCIENT AS THIS EXCURSION INTO DIMENSIONS SHOWS

CP 2.732. But though there is thus no insuperable difficulty in sampling an infinite lot, yet it must be remembered that the conclusion of inductive reasoning only consists in the approximate evaluation of a ratio, so that it never can authorize us to conclude that in an infinite lot sampled there exists no single exception to a rule. Although all the planets are found to gravitate toward one another, this affords not the slightest direct reason for denying that among the innumerable orbs of heaven there may be some which exert no such force. Although at no point of space where we have yet been have we found any possibility of motion in a fourth dimension, yet this does not tend to show (by simple induction, at least) that space has absolutely but three dimensions. Although all the bodies we have had the opportunity of examining appear to obey the law of inertia, this does not prove that atoms and atomicules are subject to the same law. Such conclusions must be reached, if at all, in some other way than by simple induction. This latter may show that it is unlikely that, in my lifetime or yours, things so extraordinary should be found, but [does] not warrant extending the prediction into the indefinite future. And experience shows it is not safe to predict that such and such a fact will never be met with. END

The extraordinary was being inferred as Peirce approached death in 1914. It is unlikely that we are at the end of suppositions regarding dimensions, materiality, and reality. More likely, we are at the edge of showing that reality is all, that there are many dimensions, and that materiality extends to what is presently invisible to us.