Etymology
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matter (n.)

c. 1200, materie, "the subject of a mental act or a course of thought, speech, or expression," from Anglo-French matere, Old French matere "subject, theme, topic; substance, content; character, education" (12c., Modern French matière) and directly from Latin materia "substance from which something is made," also "hard inner wood of a tree." According to de Vaan and Watkins, this is from mater "origin, source, mother" (see mother (n.1)). The sense developed and expanded in Latin in philosophy by influence of Greek hylē (see hylo-) "wood, firewood," in a general sense "material," used by Aristotle for "matter" in the philosophical sense. 

The Latin word also is the source of Spanish, Portuguese, and Italian materia, Dutch, German, and Danish materie, vernacular Spanish madera, Portuguese madeira "wood" (compare Madeira). The Middle English word also sometimes was used specifically as "piece of wood."

From c. 1200 as "a subject of a literary work, content of what is written, main theme;" sense of "narrative, tale, story" is from c. 1300. Meaning "physical substance generally" is from mid-14c.; that of "substance of which some specific object is or may be composed" is attested from late 14c. Meaning "piece of business, affair, activity, situation; subject of debate or controversy, question under discussion" is from late 14c. In law, "something which is to be tried or proved," 1530s.

Matter of course "something expected" attested from 1739 (adjectival phrase matter-of-course "proceeding as a natural consequence" is by 1840). For that matter "as far as that goes, as far as that is concerned" is attested from 1670s. What is the matter "what concerns (someone), what is the cause of the difficulty" is attested from mid-15c., from matter in the sense of "circumstance or condition as affecting persons and things." To make no matter to "be no difference to" also is mid-15c., with matter in the meaning "importance, consequence."

matter (v.)

"to be of importance or consequence," 1580s, from matter (n.). Related: Mattered; mattering.

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Definitions of matter
1
matter (n.)
a vaguely specified concern;
several matters to attend to
Synonyms: affair / thing
matter (n.)
some situation or event that is thought about;
it is a matter for the police
Synonyms: topic / subject / issue
matter (n.)
that which has mass and occupies space;
physicists study both the nature of matter and the forces which govern it
matter (n.)
a problem;
is anything the matter?
matter (n.)
(used with negation) having consequence;
they were friends and it was no matter who won the games
matter (n.)
written works (especially in books or magazines);
he always took some reading matter with him on the plane
2
matter (v.)
have weight; have import, carry weight;
It does not matter much
Synonyms: count / weigh
From wordnet.princeton.edu