Etymology
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consistency (n.)

1590s, "firmness of matter," from Medieval Latin consistentia   literally "a standing together," or directly from Latin consistentem (nominative consistens), present participle of consistere "to stand firm, take a standing position, stop, halt," from assimilated form of com "with, together" (see con-) + sistere "to place," causative of stare "to stand, be standing," from PIE root *sta- "to stand, make or be firm."

Meaning "state of being in agreement or harmony" (with something) is from 1650s; meaning "steady adherence to principles, patterns of action, etc." is from 1716. Meaning "harmonious connection, as of the parts of a system" is from 1787.

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Definitions of consistency

consistency (n.)
the property of holding together and retaining its shape;
when the dough has enough consistency it is ready to bake
Synonyms: consistence / substance / body
consistency (n.)
a harmonious uniformity or agreement among things or parts;
Synonyms: consistence
consistency (n.)
logical coherence and accordance with the facts;
a rambling argument that lacked any consistency
consistency (n.)
(logic) an attribute of a logical system that is so constituted that none of the propositions deducible from the axioms contradict one another;
From wordnet.princeton.edu