Century Dictionary and Cyclopedia
- n. The state of being manifold; variety; multiplicity.
- n. In mathematics: A manifold or ensemble; especially, a continuous quantity of any number of dimensions.
- n. The number of different prime factors of a number.
GNU Webster's 1913
- n. Multiplicity.
- n. (Math.) A generalized concept of magnitude.
- manifold + -ness (Wiktionary)
“Out of the simple into the manifold composed of the simple through the simple deduced from the simple leading to the manifold simple again leading onward to new manifoldness simple deductions conclusions all the way to the most simple of all the simplest simple arch-simple:”
“In all counterpoint, try to achieve manifoldness and variety by altering measure, tempo, and cadences.”
“The mind could never think its identity in the manifoldness of its representations ¦ if it did not have before its eyes the identity of its act, whereby it subordinates all [the manifold] ¦ to a transcendental unity ¦ [A108].”
“He next argues that as natural beauty consists only in manifoldness and unity, we respond to it with the play of our imagination, which apprehends manifoldness, and reason, which recognizes unity.”
“We do not attribute purposes to natural objects, he argues, so in their case beauty lies in manifoldness and unity alone, but in human productions and therefore in art we always expect and respond to a purpose.”
“But as artistic beauty consists in the objective factors of manifoldness, unity, and attitude, the response to artistic beauty depends upon imagination, reason, and the further element of feeling, for response to the attitude of the work.”
“Great is the power of memory, a fearful thing, O my God, a deep and boundless manifoldness; and this thing is the mind, and this am”
“When it takes lot with multiplicity, Being becomes Number by the fact of awakening to manifoldness; — before, it was a preparation, so to speak, of the Beings, their fore-promise, a total of henads offering a stay for what was to be based upon them.”
“And this surprises no one: though it is in fact astonishing how all that varied vitality springs from the unvarying, and how that very manifoldness could not be unless before the multiplicity there were something all singleness; for, the Principle is not broken into parts to make the total; on the contrary, such partition would destroy both; nothing would come into being if its cause, thus broken up, changed character.”
“For, as the Swami Vivekananda has said in his lecture on 'Maya and the Evolution of the Conception of God': 'He who sees in this world of manifoldness that One running through it all; in this world of death, he who finds that one infinite life; and in this world of insentience and ignorance, he who finds that one light and knowledge, unto him belongs eternal peace.”
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