@InfraBlue,
Quote:No, you've just shown other tense forms of conjugating English verbs like the progressive present indicative "am going",
I showed the present continuous/progressive for the future, Infra. Here are some more;
I'm going to London next week. // I'm playing tennis this coming Friday. // He's starting at the plant next Monday.
These aren't the progressive present indicative. This is the present progressive indicative;
I'm playing tennis. // I'm eating. // He's climbing Everest.
Quote:and conditional action in the case of "would" (present conditional),
Pragmatically, it could be that there is no difference at all between,
I would go and
I will go.
Both can entail a conditional, "if you let me"
Quote:and uncertain action in the cases of "might" and "may."
'will' is simply a higher modal expression of certainty. None of them have a great deal to do with the final result. 'may' and 'might' both express a future, granted, the expression in the mind of the speaker is generally regarded as more tentative, but it could also represent a massive understatement by the speaker.
Regardless, it still is a future, as is "probably will go"; "almost certainly will go"; "intend to go"; [you missed] "be about to + verb", an indication of a very near future that the purported 'will', English's purported future simply cannot adequately replace without a drastic change in meaning.
I think that you're simply hung up on some old terminology that did little more than give these things a name. As for describing their behavior in English, they really are quite dismal.