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Used to express obligation or duty: You should send her a note.
(auxiliary-verb)
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Used to express probability or expectation: They should arrive at noon.
(auxiliary-verb)
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Used to express conditionality or contingency: If she should fall, then so would I.
(auxiliary-verb)
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Used to moderate the directness or bluntness of a statement: I should think he would like to go.
(auxiliary-verb)
American Heritage(R) Dictionary of the English Language, Fifth Edition. Copyright (c) 2011 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.