"hypothetically speaking" vs "theoretically speaking"
What is the difference between the phrases "hypothetically speaking" and "theoretically speaking"? If one wants to make a point using an example that would likely never happen, which phrase would be more appropriate?
Solution 1:
A hypothesis and a theory are different – the exact differences depend on what field you are in. But “hypothetically speaking” vs “theoretically speaking” have a different set of meaning.
“hypothetically speaking” would be "if X were true what would it mean for Y”.
e.g. “hypothetically speaking, if the sun were a binary star what would it mean for Earth”
While “theoretically speaking” means it is possible in theory but not necessarily in practice.
e.g. “theoretically speaking, you can solve all of chemistry by just knowing the wave equation for the entire system” (although in practice it's impossible for all but the simplest case)
Solution 2:
Hypothetically: "hypothetically speaking, what if a dinosaur came and took over the world" meaning "I know this won't happen but...." Theoretically: "theoretically speaking, I can probably win queen b" meaning "in my theory, this could happen"
Solution 3:
hypothetical:
[TFD-Collins] 4. existing only as an idea or concept: (a time machine is a hypothetical device);
[TFD-WordNet3.0] based primarily on surmise rather than adequate evidence;
theoretical: 1. Of, relating to, or based on theory.
In 'hypothetically speaking', the implication is 'This is not going to happen, though. It's only conjectural, suppose....
On the other hand, in 'theoretically speaking', the meaning is just that, you are backed by theory; you are speaking with reference to theoretical concepts; also, 'We are only dealing with the theory here, don't ask if it has any practical use, that's not in scope.'
In the given usage context of -ly speaking, there's neither an overlap not ambiguity in meaning between the words.
It's a different matter, though, that the words per se, are broad, overlapping concepts used in various senses.