theologize vs speculate

theologize and speculate both are verbs.

Word	Noun	Adjective	Verb	Adverb
theologize	No	No	Yes	No
speculate	No	No	Yes	No

As verbs, speculate is a hypernym of theologize; that is, speculate is a word with a broader meaning than theologize:

theologize: make theoretical speculations about theology or discuss theological subjects
speculate: reflect deeply on a subject

Other hypernyms of theologize include chew over, contemplate, excogitate, meditate, mull, mull over, muse, ponder, reflect, ruminate, think over.

theologize (verb)	speculate (verb)
make theoretical speculations about theology or discuss theological subjects	reflect deeply on a subject
treat from a theological viewpoint or render theological in character	to believe especially on uncertain or tentative grounds
	talk over conjecturally, or review in an idle or casual way and with an element of doubt or without sufficient reason to reach a conclusion
	invest at a risk