n. 1. The quality or state of being infinite, or without limits; infiniteness. [ 1913 Webster ]
2. Infinite extent; unlimited space; immensity; infinity. “I am who fill infinitude.” Milton. [ 1913 Webster ]
As pleasing to the fancy, as speculations of eternity or infinitude are to the understanding. Addison. [ 1913 Webster ]
3. Boundless number; countless multitude. “An infinitude of distinctions.” Addison. [ 1913 Webster ]