An assertoric context is one in which an assertion is made by the use of a sentence, as opposed to one in which a sentence occurs, but no commitment to its truth is expressed. Thus a straightforward assertion of ‘They were here last Sunday’ contrasts with ‘If they were here last Sunday, then they will not come today’, since in the latter example the sentence ‘they were here last Sunday’ is embedded, but it is not asserted that they were here last Sunday.

Philosophy dictionary. . 2011.

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