Thank you, Alamo-Girl. So when you refer to quantizing the continuum you are refering filling in the holes in the fossil record with unobserved hypotheticals. Is that correct?
The tree of life is a theoretical continuum that proposes all life sprang up from a common ancestor. Each fossil that is discovered is one instance, a quantization, in that continuum.
Because few creatures that lived left a historical record of themselves, the continuum is mostly empty.
The humorous part was that if "quantizing the continuum" is a logical fallacy, then there is no logical basis for the tree of life at all, none of the quantizations (e.g. fossils) can suggest a branch of the tree.