Past Forms
The preterite (past) forms given above (could, might, should and, would, corresponding to can, may, shall and will respectively) do not always simply modify the meaning of the modal to give it past time reference. The only one regularly used as an ordinary past tense is could, when referring to ability: I could swim may serve as a past form of I can swim.
All the preterites are used as past equivalents for the corresponding present modals in indirect speech and similar clauses requiring the rules of sequence of tenses to be applied. For example, in 1960 it might have been said that People think that we will all be driving hovercars by the year 2000, whereas at a later date it might be reported that In 1960, people thought we would all be driving hovercars by the year 2000.
This "future-in-the-past" usage of would can also occur in independent sentences: I moved to Green Gables in 1930; I would live there for the next ten years.
In many cases, in order to give modals past reference, they are used together with a "perfect infinitive", namely the auxiliary have and a past participle, as in I should have asked her; You may have seen me. Sometimes these expressions are limited in meaning; for example, must have can only refer to certainty, whereas past obligation is expressed by an alternative phrase such as had to (see Replacements for defective forms below).
Read more about this topic: English Modal Verbs
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