Past subjunctive

I'd rather you came with me. (Does this imply that you are not going to come with me?)
I would rather you made dinner now. (Does this imply that you are going to make dinner later? )

As I see it, the situations you characterize as implications are possible motivations for the corresponding statements, but not truly necessary logical implications.

CJ

That's why I use the past subjunctive to express my strong preference.-- This is not a use of the subjunctive.

Mister MicawberThat's why I use the past subjunctive to express my strong preference.-- This is not a use of the subjunctive.

Thank you, Mister Micawber.

You make me recall that they are not the past subjunctive but the preterite.

The reason why the preterite is used is due to the historical reasons.

I am sorry for my

I think you are confusing your terminologies. We do not use the word 'preterite' any more in talking about English verbs; it is more appropiate to the Romance and other languages that have multiple past forms. By 'due to the historical reasons', I presume that you mean 'for past events' and not anything etymological.

Mister Micawber I presume that you mean 'for past events' and not anything etymological

I would rather you made dinner now.

I would rather you did it now.

Do you imply that the use of the past tense is a conventional use and it originated from some past events.

Thank you.

No, quite the opposite; but I am merely questioning the original poster's vocabulary. The modal idiom 'would rather' is a verb of hypothesis. 'Made' and 'did' are subjunctive forms (cf: I'd rather she were on time). Subjunctive verb forms look like the past but represent the non-past.

oophs, I think, at last, I have apprehended your meaning.

Mister Micawber'Made' and 'did' are subjunctive forms (cf: I'd rather she were on time). Subjunctive verb forms look like the past but represent the non-past.

Subjunctive forms are used to express hypothesis, even though the hypothesis might be true, and it is not related to strong preferences