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(location) In a place or location (stated, implied or otherwise indicated) at some distance from the speaker (compare here).

In that matter, relation, etc.; at that point, stage, etc., regarded as a distinct place.

“He did not stop there, but continued his speech.”

(location) To or into that place; thither.

Where, there where, in which place.

In existence or in this world; see pronoun section below.

Used as an expletive subject of be in its sense of “exist”, with the semantic, usually indefinite subject being postponed or (occasionally) implied.

“Is there an answer? [=Does an answer exist?]”

Used with other intransitive verbs of existence, in the same sense, or with other intransitive verbs, adding a sense of existence.

“If x is a positive number, then there exists [=there is] a positive number y less than x.”

Used with other verbs, when raised.

“I expected there to be a simpler solution. [=I expected that there would be a simpler solution.]”

(in combination with certain prepositions, no longer productive) That.

“therefor, thereat, thereunder”

Used to replace an unknown name, principally in greetings and farewells

“Hi there, young fellow.”