Ideal meaning

ī-dēəl, ī-dēl
Frequency:
The definition of an ideal is a person or thing that is thought of as perfect for something.

An example of ideal is a home with three bedrooms to house a family with two parents and two children.

noun
12
1
Existing as an idea, model, or archetype; consisting of ideas.
adjective
4
1
Ideal is defined as something or someone who is thought of as a perfect example of something.

An example of ideal used as an adjective is the phrase "the ideal job situation" which could be the right blend of hours and wages for a particular person's needs.

adjective
4
2
Existing only in the mind as an image, fancy, or concept; visionary; imaginary.
adjective
3
1
Perfect, flawless, having no defects.
adjective
3
1
Advertisement
An unincorporated community in South Dakota.
pronoun
2
0
One that is regarded as a standard or model of perfection or excellence.

The restaurant is considered the ideal in fine dining.

noun
2
2
adjective
2
2
An ultimate or worthy object of endeavor; a goal.
noun
2
5
An unincorporated community in Illinois.
pronoun
1
0
Advertisement
A conception of something in its absolute perfection.

The ideal of national unity.

noun
1
1
Thought of as perfect or as a perfect model; exactly as one would wish; of a perfect kind.
adjective
1
1
Of idealism; idealistic.
adjective
1
1
A goal or principle, esp. one of a noble character.
noun
1
1
adjective
1
1
Advertisement
(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.

adjective
1
1
(mathematics, order theory) A non-empty lower set (of a partially ordered set) which is closed under binary suprema (a.k.a. joins).

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.

noun
1
1
(for example, algebra) A subring closed under multiplication by its containing ring.

Let be the ring of integers and let be its ideal of even integers. Then the quotient ring is a Boolean ring.

The product of two ideals and is an ideal which is a subset of the intersection of and . This should help to understand why maximal ideals are prime ideals. Likewise, the union of and is a subset of .

noun
1
1
anagrams
1
1
A city in Georgia, USA.
pronoun
1
1
Advertisement
Conforming to a standard of perfection or excellence; perfect or highly satisfactory.

An ideal work environment.

adjective
0
1
Of, or having the nature of, an idea or conception; identifying or illustrating an idea or conception; conceptual.
adjective
0
1
Something that exists only in the mind.
noun
0
1
Pertaining to ideas, or to a given idea.
adjective
0
1
Teaching or relating to the doctrine of idealism.

The ideal theory or philosophy.

adjective
0
1
Advertisement
​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 - Carl Schurz.

noun
0
1

Origin of ideal

  • From Middle English pertaining to the divine archetypes of things from Late Latin ideālis from Latin idea idea idea

    From American Heritage Dictionary of the English Language, 5th Edition

  • From French idéal, from Late Latin ideālis (“existing in idea”), from Latin idea (“idea”); see idea.

    From Wiktionary