Summary of Academic Modal Usage
WILL: Prediction
Example: "The reasons given for our actions will vary depending on who we address."
WOULD: Hypothetical prediction (conditional prediction)
Example: "These concerns would not be quite so pressing if the substantive content of his notion was clear and conceptually sound."
Example: "Efforts at conceptual analysis would be somewhat arid without an effort to evaluate the explanatory power of contending models."
Note: The condition may not be signalled with if, or may be implied by the context.
SHALL: Prediction usually used with the first person (I or we)
Example: "We shall consider the effect of particles next."
Note: This modal is closest in meaning to will than it is to should.
SHOULD: Logical necessity/expectation
Example: "Though the contrast will be low, the image should still be visible."
CAN: Theoretical possibility/ability/capacity
Example: "Refugee policy can be considered a rough test of a state’s commitment to its human rights pronouncements."
Note: As a 'theoretical possibility' it is like you are inserting 'theoretically' into your sentence.
COULD: theoretical possibility/past ability/past capacity
Example: "Further development of this technique could provide a means of investigating this aspect in more detail."
Example: "By 1966 Britain could not operate to any degree without American assistance." (past ability)
Note: As a 'theoretical possibility' it is like you are inserting 'theoretically' into your sentence.
MAY: factual (real) possibility
Example: "The surface cracking may be caused by different thermal expansion between the constituents of the coating."
Note: As a 'factual possibility' it is like you are inserting 'actually' into your sentence.
MIGHT: factual possibility/remote possibility
Example: "His fears were that an arms race would occur, or that either side might launch a pre-emptive strike on the other."
Note: As a 'factual possibility' it is like you are inserting 'actually' into your sentence.
Remember:
Modal verbs have many additional meanings including those concerned with obligation and permission (e.g. obligation: “It should be noted that Aust and Rutter used very high purity materials in their work”).
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