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Help anticipate a perception,develop an intuition

and systematize a reading of
Croizat's contribution to biogeography with axioms

"Imagine three systems of THINGS, which we will call points, straight lines, and planes."Hilbert

What these things are we do know - they are specimen collection localities, individual panbiogeographic
tracks and the generalized track they can compose.

Incidence Axiom #1

For every point P and for every point Q not equal to P there exists a unique line l that passes through P an Q. A collection locality is considered the most local level places of endemism asserted (therefore) in a main massing there is no unique line that connects two localities outside the main massing - through its -main massing

Incidence Axiom #2
For every line there exists at least two distinct points incident with l, one point or which may be in the mathematical neighboorhood of a main massing if present, one point being the original collection locality and the other point deriveable from th etopology of the ancestral higher order pinpoints with the parameter the specific data point of original collection locality.

Brad McFall
Phone (607) 256-0308

Incidence Axiom # 3 There exists three distinct points with the property that no line is incident with all three of them. One of these points is A NODE, the phylogenetic and biogeographic nodes.

If you would like to work on/in axiomatic panbiogeography and join this team please contact us. The team site will include conversations on abstract panbiogeography.

228 Linden Ave #B1
Ithaca, NY USA
bsm65@cornell.edu

Axiomatic Panbiogeography

offers an application of incidence geometry to historical biogeography by defining collection localities as points, tracks as lines and generalized tracks as planes.