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Profound vs Ideal - What's the difference?

profound | ideal |

As nouns the difference between profound and ideal

is that profound is (obsolete) the deep; the sea; the ocean while ideal is ideal (perfect standard).

As an adjective profound

is descending far below the surface; opening or reaching to great depth; deep.

As a verb profound

is (obsolete) to cause to sink deeply; to cause to dive or penetrate far down.

profound

English

Adjective

(en adjective)
  • Descending far below the surface; opening or reaching to great depth; deep.
  • * (rfdate),
    • A gulf profound
  • Very deep; very serious
  • Intellectually deep; entering far into subjects; reaching to the bottom of a matter, or of a branch of learning; thorough; as, a profound investigation or treatise; a profound scholar; profound wisdom.
  • *
  • Characterized by intensity; deeply felt; pervading; overmastering; far-reaching; strongly impressed; as, a profound sleep.
  • * (rfdate),
    • Profound sciatica
  • * (rfdate),
    • Of the profound corruption of this class there can be no doubt.
  • Bending low, exhibiting or expressing deep humility; lowly; submissive; as, a profound bow.
  • * (rfdate)
    • What humble gestures! What profound reverence!

    Noun

    (-)
  • (obsolete) The deep; the sea; the ocean.
    • God in the fathomless profound / Hath all this choice commanders drowned. Sandys .
  • (obsolete) An abyss.
    • (Milton)

    Verb

    (en verb)
  • (obsolete) To cause to sink deeply; to cause to dive or penetrate far down.
    • (Sir Thomas Browne)
  • (obsolete) To dive deeply; to penetrate.

    • Related terms

    * profundity * profoundness ----

    ideal

    English

    Adjective

    (en adjective)
  • Optimal; being the best possibility.
  • Perfect, flawless, having no defects.
  • * Rambler
    • There will always be a wide interval between practical and ideal excellence.
  • Pertaining to ideas, or to a given idea.
  • Existing only in the mind; conceptual, imaginary.
  • * 1796 , Matthew Lewis, The Monk , Folio Society 1985, p. 256:
    • The idea of ghosts is ridiculous in the extreme; and if you continue to be swayed by ideal terrors —
  • * 1818 , , [[s:Frankenstein/Chapter 4, Chapter 4],
    • Life and death appeared to me ideal bounds, which I should first break through, and pour a torrent of light into our dark world.
  • Teaching or relating to the doctrine of idealism.
    • the ideal theory or philosophy
  • (mathematics) Not actually present, but considered as present when limits at infinity are included.
    • ideal point
    An ideal triangle in the hyperbolic disk is one bounded by three geodesics that meet precisely on the circle.

    Synonyms

    * See also

    Related terms

    * ideality * idealless * ideally * idealism * idealistic * idealize

    Noun

    (en noun)
  • A perfect standard of beauty, intellect etc., or a standard of excellence to aim at.
    • Ideals are like stars; you will not succeed in touching them with your hands. But like the seafaring man on the desert of waters, you choose them as your guides, and following them you will reach your destiny -
  • (mathematics, order theory) A non-empty]] lower set (of a partially ordered set) which is [[closure, closed under binary suprema (a.k.a. joins).[http://en.wikipedia.org/wiki/Boolean_prime_ideal_theorem#Prime_ideal_theorems]
    • If (1) the empty set were called a "small" set, and (2) any subset of a "small" set were also a "small" set, and (3) the union of any pair of "small" sets were also a "small" set, then the set of all "small" sets would form an ideal .
  • (for example, algebra) A subring closed under multiplication by its containing ring.
    • Let \mathbb{Z} be the ring of integers and let 2\mathbb{Z} be its ideal of even integers. Then the quotient ring \mathbb{Z} / 2\mathbb{Z} is a Boolean ring.
    The product of two ideals \mathfrak{a} and \mathfrak{b} is an ideal \mathfrak{a b} which is a subset of the intersection of \mathfrak{a} and \mathfrak{b}. This should help to understand why maximal ideals' are prime ' ideals . Likewise, the union of \mathfrak{a} and \mathfrak{b} is a subset of \mathfrak{a + b}.

    Antonyms

    * (order theory) filter

    Derived terms

    * left ideal * right ideal * two-sided ideal * principal ideal

    External links

    * (wikipedia)

    Anagrams

    * ----