Having had a need for nano positioning in the past I really try to avoid PI like the plague. Bad and slow sales people, opaque pricing, no way to test their product before they expect you to lay down 50k. Bad integration with other tools.

Pure hardware product is great though I admit.

This article would be better without the opening two paragraphs about Godel's Theorem. They're just fluff, and much of what they say is wrong.

If you found this interesting and are a non-expert, I recommend browsing Foundations of Mechanical Accuracy by Wayne Moore (1970):

https://archive.org/details/Foundations_of_Mechanical_Accura...

Manufacturing got down to nanometer precision starting with macroscopic precision visible to the naked eyeball.