is a specific kind of: hypothesis, possibility, theory.

is a broader term that covers: conclusion | base, basis, cornerstone, foundation, fundament, groundwork | given, precondition, presumption | basic assumption, constatation, self-evident truth.

derivation: assume, presume, take for granted | say, suppose | conjectural, divinatory, hypothetic, hypothetical, supposed, suppositional, suppositious, supposititious.

is a specific kind of: conjecture.

is a broader term that covers: presupposition.

derivation: guess, imagine, opine, reckon, suppose, think | conjecture, hypothecate, hypothesise, hypothesize, speculate, suppose, theorise, theorize | conjectural, divinatory, hypothetic, hypothetical, supposed, suppositional, suppositious, supposititious.