"intersect" and "intersection" do the same thing

[DanGrayson]

Get rid of "intersection", as it is the more recent one.

i1 : apropos "intersect"

o1 = {intersect, intersectInP, intersection}

o1 : List

i2 : help intersect

o2 = intersect -- compute an intersection
     ************************************

     Description
     ===========

     This function calculates the intersection of a list or sequence of compatible objects.

     ...

i3 : help intersection

o3 = intersection -- compute an intersection
     ***************************************

     Description
     ===========

     This function calculates the intersection of a list or sequence of compatible objects.

     ...

[mahrud]

Why? Some packages have used intersection instead for ages, like Polyhedra: https://faculty.math.illinois.edu/Macaulay2/doc/Macaulay2-1.17/share/doc/Macaulay2/Polyhedra/html/_intersection.html And the point of making it shared was to allow different packages to be able to use it, as in #1649.

What should instead be fixed is the documentation, which in v1.18 is hijacked by the shared documentation from Macaulay2Doc: https://faculty.math.illinois.edu/Macaulay2/doc/Macaulay2/share/doc/Macaulay2/Polyhedra/html/_intersection.html

[DanGrayson]

Well, in order to avoid any disruption, what if we make intersect and intersection (which are in the core) synonyms, the way res and resolution are synonyms? Then it wouldn't matter if you don't remember whether to use the verb or the noun.