Etymology
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infinitude (n.)

1640s, from Medieval Latin *infinitudo, from Latin infinitus (see infinite) on model of multitudo, magnitudo. Or the English word is perhaps from or modeled on French infinitude (1610s).

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Definitions of infinitude

infinitude (n.)
an infinite quantity;
infinitude (n.)
the quality of being infinite; without bound or limit;
Synonyms: infiniteness / unboundedness / boundlessness / limitlessness
From wordnet.princeton.edu