A summary of a few Greek particles

I append here a brief summary of my suggestions for these particles:

Ἵνα introduces a potential state of affairs;
Ὅτι by contrast introduces an actual state of affairs, from the perspective of the speaker;
Ὡς alerts the reader to expect a representation that may not in fact be a true state of affairs;
Καίπερ constrains the logical relations possible with participles;
Γάρ supports previous material
While οὖν asserts the relevance of new material.—Margaret Sim, A Relevant Way to Read, 98