Definitions

from The Century Dictionary.

  • noun The state of being manifold; variety; multiplicity.
  • noun In mathematics: A manifold or ensemble; especially, a continuous quantity of any number of dimensions.
  • noun The number of different prime factors of a number.

from the GNU version of the Collaborative International Dictionary of English.

  • noun Multiplicity.
  • noun (Math.) A generalized concept of magnitude.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

  • noun mathematics multiplicity
  • noun mathematics A generalized concept of magnitude.

Etymologies

from Wiktionary, Creative Commons Attribution/Share-Alike License

manifold +‎ -ness

Examples

  • 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:

    Archive 2010-06-01

  • 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:

    Mirjam Tuominen - 10

  • In all counterpoint, try to achieve manifoldness and variety by altering measure, tempo, and cadences.

    Archive 2009-06-01

  • 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].

    Kant's View of the Mind and Consciousness of Self

  • 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.

    18th Century German Aesthetics

  • 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.

    18th Century German Aesthetics

  • 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.

    18th Century German Aesthetics

  • 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

    The Confessions

  • 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.

    The Six Enneads.

  • 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.

    The Six Enneads.

Comments

Log in or sign up to get involved in the conversation. It's quick and easy.