(If your focus is directly on Empedocles, pardon the disconnect.)
There are three different ways the elements can be opposed to one another, and Western esoteric traditions have used all three of them to good effect. Different perspectives arise from different contrasts between the behaviors of the elemental ideas.
Hermes Tresmigistus is said to have that name because his discipline involved three focal traditions: Alchemy, Astronomy and 'Theurgy'. Each of these is invested in a different pattern of pairing the elements.
In traditional Alchemy, the two oppositions respect motivation and stability as aspects of work. Fire (exciting) opposes Water (calming) and Earth (solid) opposes Air (adaptive).
In Astrology, the two oppositions respect seasonal contrasts. Fire (hot, Summer) opposes Air (cold, Winter), Earth (solid, Autumn) opposes Water (fluid, Spring).
In most other Hermetic domains (including what has evolved into modern Witchcraft, Ceremonial Magic, and Jungian psychology), the two oppositions respect traditional interpersonal conflicts. Fire (passion/intuition) opposes Earth (stability/sensation), Water (merger/feeling) opposes Air (separation/thinking).
One way of looking at all the patterns is on the points of a tetrahedron. Then each point of the tetrahedron can be seen as representing one of the elements. Looking onto the figure from the point of view of the different edges shows each of these potential patterns, depending on the edge. Looking at the triangles surrounding each point calls out the Cardinal, Fixed and Mutable concepts associated with using that element as a model.
(I am not sure how much of any of this is philosophy. But it presents interesting seeds for meditations on how sets of ideas fit together.)