Share on Facebook Share on Twitter Email
Answers.com

four

 
(fôr, fōr) pronunciation
n.
  1. The cardinal number equal to 3 + 1.
  2. The fourth in a set or sequence.
  3. Something having four parts, units, or members, such as a musical quartet or a four-cylinder engine.
idiom:

all fours

  1. All four limbs of an animal or person: a baby crawling on all fours.

[Middle English, from Old English fēower.]

four four adj. & pron.

Search unanswered questions...
Enter a question here...
Search: All sources Community Q&A Reference topics

(Metric) For use applied as a suffix to units, see tenth gram.

Word Tutor:

four

Top
pronunciation

IN BRIEF: Being one more than three.

pronunciation When a man points a finger at someone else, he should remember that four of his fingers are pointing at himself. — Louis Nizer, (1902-1994), American lawyer, author, speaker, born in London.

Tutor's tip: Are the "four" (the number between three and five) leaders "for" (in favor of) bringing their concerns to the "fore" (to the top, forefront) at the meeting?

LearnThatWord.com is a free vocabulary and spelling program where you only pay for results!

sign description: With the palm facing the signer, all four fingers are extended.




Four is the number of stability, upon which all is based: the four sides to the square; the four seasons; the four directions; the four elements; and, the four mental functions (thought, feeling, sense, and intuition).


  See crossword solutions for the clue Four.
Wikipedia on Answers.com:

4 (number)

Top
4

−1 0 1 2 3 4 5 6 7 8 9

Cardinal 4
four
Ordinal 4th
fourth
Numeral system quaternary
Factorization 22
Divisors 1, 2, 4
Roman numeral IV or IIII
Roman numeral (Unicode) Ⅳ, ⅳ
Greek δ (or Δ)
Arabic ٤,4
Arabic (Persian, Urdu) ۴
Ge'ez
Bengali
Chinese numeral 四,亖,肆
Devanagari
Telugu
Malayalam
Tamil
Hebrew ארבע (Arba, pronounced AR-bah) or ד (Dalet, 4th letter of the Hebrew alphabet)
Khmer
Thai
prefixes tetra- (from Greek)

quadri-/quadr- (from Latin)

Binary 100
Octal 4
Duodecimal 4
Hexadecimal 4
Vigesimal 4

4 (four; /ˈfɔər/) is a number, numeral, and glyph. It is the natural number following 3 and preceding 5.

Contents

In mathematics

Four is the smallest composite number, its proper divisors being 1 and 2. Four is also a highly composite number. The next highly composite number is 6.

Four is the second square number, the second centered triangular number.

4 is the smallest squared prime (p2) and the only even number in this form. It has an aliquot sum of 3 which is itself prime. The aliquot sequence of 4 has 4 members (4, 3, 1, 0) and is accordingly the first member of the 3-aliquot tree.

A number is a multiple of 4 if its last two digits are a multiple of 4. For example, 1092 is a multiple of 4 because 92 = 4×23.

Only one number has an aliquot sum of 4 and that is squared prime 9.

The prime factorization of four is two times two.

Four is the smallest composite number that is equal to the sum of its prime factors. (As a consequence of this, it is the smallest Smith number). However, it is the largest (and only) composite number n for which (n - 1)!\ \equiv\ 0 \ ({\rm mod}\ n) is false.

It is also a Motzkin number.

In bases 6 and 12, 4 is a 1-automorphic number.

In addition, 2 + 2 = 2 × 2 = 22 = 4. Continuing the pattern in Knuth's up-arrow notation, 2 \uparrow\uparrow 2 = 2 \uparrow\uparrow\uparrow 2 = 4, and so on, for any number of up arrows.

A four-sided plane figure is a quadrilateral (quadrangle) or square, sometimes also called a tetragon. A circle divided by 4 makes right angles. Because of it, four (4) is the base number of plane (mathematics). Four cardinal directions, four seasons, duodecimal system, and vigesimal system are based on four.

A solid figure with four faces is a tetrahedron. The regular tetrahedron is the simplest Platonic solid. A tetrahedron, which can also be called a 3-simplex, has four triangular faces and four vertices. It is the only self-dual regular polyhedron.

Four-dimensional space is the highest-dimensional space featuring more than three convex regular figures:

Four-dimensional differential manifolds have some unique properties. There is only one differential structure on \mathbb{R}^{n} except when n = 4, in which case there are uncountably many.

The smallest non-cyclic group has four elements; it is the Klein four-group. Four is also the order of the smallest non-trivial groups that are not simple.

Four is the maximum number of dimensions of a real division algebra (the quaternions), by a theorem of Ferdinand Georg Frobenius.

The four-color theorem states that a planar graph (or, equivalently, a flat map of two-dimensional regions such as countries) can be colored using four colors, so that adjacent vertices (or regions) are always different colors.[1] Three colors are not, in general, sufficient to guarantee this. The largest planar complete graph has four vertices.

Lagrange's four-square theorem states that every positive integer can be written as the sum of at most four square numbers. Three are not always sufficient; 7 for instance cannot be written as the sum of three squares.

Four is the first positive non-Fibonacci number.

Each natural number divisible by 4 is a difference of squares of two natural numbers, i.e. 4x = y2z2.

Four is an all-Harshad number and a semi-meandric number.

List of basic calculations

Multiplication 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 50 100 1000
4 \times x 4 8 12 16 20 24 28 32 36 40 44 48 52 56 60 64 68 72 76 80 84 88 92 96 100 200 400 4000
Division 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
4 \div x 4 2 1.\overline{3} 1 0.8 0.\overline{6} 0.\overline{571428} 0.5 0.\overline{4} 0.4 0.\overline{36} 0.\overline{3} 0.\overline{307692} 0.\overline{285714} 0.2\overline{6} 0.25
x \div 4 0.25 0.5 0.75 1 1.25 1.5 1.75 2 2.25 2.5 2.75 3 3.25 3.5 3.75 4
Exponentiation 1 2 3 4 5 6 7 8 9 10 11 12 13
4 ^ x\, 4 16 64 256 1024 4096 16384 65536 262144 1048576 4194304 16777216 67108864
x ^ 4\, 1 16 81 256 625 1296 2401 4096 6561 10000 14641 20736 28561

Evolution of the glyph

Evolution4glyph.png
Representing 1, 2 and 3 in as many lines as the number represented worked well. The Brahmin Indians simplified 4 by joining its four lines into a cross that looks like our modern plus sign. The Sunga would add a horizontal line on top of the numeral, and the Kshatrapa and Pallava evolved the numeral to a point where speed of writing was a secondary concern. The Arabs' 4 still had the early concept of the cross, but for the sake of efficiency, was made in one stroke by connecting the "western" end to the "northern" end; the "eastern" end was finished off with a curve. The Europeans dropped the finishing curve and gradually made the numeral less cursive, ending up with a glyph very close to the original Brahmin cross.[2]

While the shape of the 4 character has an ascender in most modern typefaces, in typefaces with text figures the character usually has a descender, as, for example, in TextFigs148.svg.

Seven-segment 4.svg

On the seven-segment displays of pocket calculators and digital watches, as well as certain optical character recognition fonts, 4 is seen with an open top. This is because this was the original way the glyph was drawn (before the illustration above came into usage).

Television stations that operate on channel 4 have occasionally made use of another variation of the "open 4", with the open portion being on the side, rather than the top. This version resembles the Canadian Aboriginal syllabics letter ᔦ. The magnetic ink character recognition "CMC-7" font also uses this variety of "4". Another form of the 4 glyph that was invented for television was the arrow 4, which combines the 4 glyph with an arrow.

In religion

Buddhism
Judeo-Christian symbolism
Hinduism
Islam
  • Eid al-Adha lasts for four days, from the 10th to the 14th of Dhul Hijja.
  • There are four The Rightly Guided Caliphs or Rashidun: Abu Bakr, Umar ibn al-Khattab, Uthman ibn Affan and Ali ibn Abi Talib.
  • The Four Arch Angels in Islam are: Jibraeel (Gabriel), Mikaeel (Michael), Izraeel (Azrael), and Israfil (Raphael)
  • There are four Sacred Months in Islam: Muharram, Rajab, Dhu al-Qi'dah and Dhu al-Hijjah.
  • There are four Sunni schools of fiqh: Hanafi, Shafi`i, Maliki and Hanbali.
  • There are four major sunni Imams: Abū Ḥanīfa, Muhammad ibn Idris ash-Shafi`i, Malik ibn Anas and Ahmad ibn Hanbal.
  • There are four books in Islam: Torah, Zaboor, Injeel, Quran.
  • Waiting for four months is ordained for those who take an oath for abstention from their wives.
  • The waiting period of the woman whose husband dies, is four months and ten days.
  • When Abraham said: “My Lord, show me how You give life to the dead,” Allah said: “Why! Do you have no faith?” Abraham replied: “Yes, but in order that my heart be at rest.” He said: “Then take four birds, and tame them to yourself, then put a part of them on every hill, and summon them; they will come to you flying.
  • The respite of four months was granted to give time to the mushriks in Surah Taubah so that they should consider their position carefully and decide whether to make preparation for war or to emigrate from the country or to accept Islam.
  • Those who accuse honourable women (of unchastity) but do not produce four witnesses, flog them with eighty lashes, and do not admit their testimony ever after. They are indeed transgressors. Surah Noor
Other

In science

  • A tetramer is a thing formed out of four sub-units.

In astronomy

In biology

  • Four is the number of nucleobase types in DNA and RNAadenine, guanine, cytosine, thymine (uracil in RNA).
  • Many chordates have four feet, legs or leglike appendages (Tetrapods).
  • The mammalian heart consists of four chambers.
  • Many mammals (Carnivora, Ungulata) use four fingers for movement.
  • The fourth finger of a human hand (on the left hand – ring-finger) is moved when the little finger moves.
  • All insects with wings except flies have four wings.
  • Insects of the superorder Endopterygota, also known as Holometabola, such as butterflies, ants, bees, beetles, fleas, flies, moths, and wasps, undergo holometabolism – complete metamorphism in four stages – from (1) embryo (ovum, egg), to (2) larva (such as grub, caterpillar), then (3) pupa (such as the chrysalis), and finally (4) the imago.
  • There are four human blood groups (A, B, O, AB).
  • Humans have four canines, four incisors and four wisdom teeth.
  • The cow's stomach is divided in four digestive compartments: reticulum, rumen, omasum and abomasum.

In chemistry

  • Valency of carbon (that is basis of life on the Earth) is four. Also because of its tetrahedral crystal bond structure, diamond (one of the natural allotropes of carbon) is the hardest known naturally occurring material. It is also the valence of silicon, whose compounds form the majority of the mass of the Earth's crust.
  • The atomic number of beryllium
  • There are four basic states of matter: solid, liquid, gas, and plasma.
  • The four elements of alchemy are earth, water, air and fire.

In physics

In logic and philosophy

  • The symbolic meanings of the number four are linked to those of the cross and the square. "Almost from prehistoric times, the number four was employed to signify what was solid, what could be touched and felt. Its relationship to the cross (four points) made it an outstanding symbol of wholeness and universality, a symbol which drew all to itself". Where lines of latitude and longitude intersect, they divide the earth into four proportions. Throughout the world kings and chieftains have been called "lord of the four suns"..."lord of the four quarters of the earth"...[3] by which is understood to the extent of their powers both territorially and in terms of total control of their subjects' doings.
  • The Square of Opposition, in both its Aristotelian version and its Boolean version, consists of four forms: A ("All S is R"), I ("Some S is R"), E ("No S is R"), and O ("Some S is not R").
  • In regard to whether two given propositions can have the same truth value, there are four separate logical possibilities: the propositions are subalterns (possibly both are true, and possibly both are false); subcontraries (it is possible that both are true, but not that both are false); contraries (it is possible that both are false, but not that both are true); or contradictories (it is not possible that both are true, and it is not possible that both are false).
  • Aristotle held that there are basically four causes in nature: the efficient cause, the matter, the end, and the form.
  • The Stoics held with four basic categories, all viewed as bodies (substantial and insubstantial): (1) substance in the sense of substrate, primary formless matter; (2) quality, matter's organization to differentiate and individualize something, and coming down to a physical ingredient such as pneuma, breath; (3) somehow holding (or disposed), as in a posture, state, shape, size, action, and (4) somehow holding (or disposed) toward something, as in relative location, familial relation, and so forth.
  • Immanuel Kant expounded a table of judgments involving four three-way alternatives, in regard to (1) Quantity, (2) Quality, (3) Relation, (4) Modality, and, based thereupon, a table of four categories, named by the terms just listed, and each with three subcategories.
  • Arthur Schopenhauer's doctoral thesis was On the Fourfold Root of the Principle of Sufficient Reason.
  • Franz Brentano held that any major philosophical period has four phases: (1) Creative and rapidly progressing with scientific interest and results; then declining through the remaining phases, (2) practical, (3) increasingly skeptical, and (4) literary, mystical, and scientifically worthless – until philosophy is renewed through a new period's first phase. (See Brentano's essay "The Four Phases of Philosophy and Its Current State" 1895, tr. by Mezei and Smith 1998.)
  • C. S. Peirce, usually a trichotomist, discussed four methods for overcoming troublesome uncertainties and achieving secure beliefs: (1) the method of tenacity (policy of sticking to initial belief), (2) the method of authority, (3) the method of congruity (following a fashionable paradigm), and (4) the fallibilistic, self-correcting method of science (see "The Fixation of Belief", 1877); and four barriers to inquiry, barriers refused by the fallibilist: (1) assertion of absolute certainty; (2) maintaining that something is absolutely unknowable; (3) maintaining that something is absolutely inexplicable because absolutely basic or ultimate; (4) holding that perfect exactitude is possible, especially such as to quite preclude unusual and anomalous phenomena (see "F.R.L." [First Rule of Logic], 1899).
  • Paul Weiss built a system involving four modes of being: Actualities (substances in the sense of substantial, spatio-temporally finite beings), Ideality or Possibility (pure normative form), Existence (the dynamic field), and God (unity). (See Weiss's Modes of Being, 1958).
  • Karl Popper outlined a tetradic schema to describe the growth of theories and, via generalization, also the emergence of new behaviors and living organisms: (1) problem, (2) tentative theory, (3) (attempted) error-elimination (especially by way of critical discussion), and (4) new problem(s). (See Popper's Objective Knowledge, 1972, revised 1979.)
  • John Boyd (military strategist) made his key concept the decision cycle or OODA loop, consisting of four stages: (1) observation (data intake through the senses), (2) orientation (analysis and synthesis of data), (3) decision, and (4) action. Boyd held that his decision cycle has philosophical generality, though for strategists the point remains that, through swift decisions, one can disrupt an opponent's decision cycle.
  • Richard McKeon outlined four classes (each with four subclasses) of modes of philosophical inquiry: (1) Modes of Being (Being); (2) Modes of Thought (That which is); (3) Modes of Fact (Existence); (4) Modes of Simplicity (Experience) – and, corresponding to them, four classes (each with four subclasses) of philosophical semantics: Principles, Methods, Interpretations, and Selections. (See McKeon's "Philosophic Semantics and Philosophic Inquiry" in Freedom and History and Other Essays, 1989.)
  • Jonathan Lowe (E.J. Lowe) argues in The Four-Category Ontology, 2006, for four categories: kinds (substantial universals), attributes (relational universals and property-universals), objects (substantial particulars), and modes (relational particulars and property-particulars, also known as "tropes"). (See Lowe's "Recent Advances in Metaphysics," 2001, Eprint)

In technology

4 as a resin identification code, used in recycling.
  • The resin identification code used in recycling to identify low-density polyethylene.
  • Most furniture has four legs – tables, chairs, etc.
  • Four horses (quadriga) is the maximal number of horses in one row for carriage.
  • The four color process (CMYK) is used for printing.
  • Wide use of rectangles (with four angles and four sides) because they have effective form and capability for close adjacency to each other (houses, rooms, tables, bricks, sheets of paper, screens, film frames).
  • In the Rich Text Format specification, language code 4 is for the Chinese language. Codes for regional variants of Chinese are congruent to 4 mod 256.
  • Credit card machines have four-twelve function keys.
  • On most phones, the 4 key is associated with the letters G, H, and I, but on the BlackBerry cellular phone, it is the key for D and F.
  • On many computer keyboards, the "4" key may also be used to type the dollar sign ($) if the shift key is held down.
  • It is the number of bits in a nibble, equivalent to half a byte
  • In internet slang, "4" can replace the word "for" (as "four" and "for" are pronounced similarly). For example, typing "4u" instead of "for you".
  • In Leetspeak, "4" may be used to replace the letter "A".

In transport

In sports

In other fields

See also 4 (disambiguation).

In music

Groups of four

References

  1. ^ Bryan Bunch, The Kingdom of Infinite Number. New York: W. H. Freeman & Company (2000): 48
  2. ^ Georges Ifrah, The Universal History of Numbers: From Prehistory to the Invention of the Computer transl. David Bellos et al. London: The Harvill Press (1998): 394, Fig. 24.64
  3. ^ Chevalier, Jean and Gheerbrant, Alain (1994), The Dictionary of Symbols. The quote beginning "Almost from prehistoric times..." is on p. 402.
  4. ^ http://windowsteamblog.com/blogs/windowsvista/archive/2008/10/14/why-7.aspx

External links


Translations:

Four

Top

Dansk (Danish)
num. - fire
n. - parti, firer, firtal

idioms:

  • Four Hundred    de virkelig fine
  • go on all fours    gå ned på alle fire

Nederlands (Dutch)
vier, vierspan

Français (French)
n. - quatre, attelage à quatre, quatuor
adj. - quatre

idioms:

  • Four Hundred    fine fleur, aristocratie, élite, gratin
  • on all fours    à quatre pattes

Deutsch (German)
n. - Vier, Vierer
adj. - vier

idioms:

  • Four Hundred    die oberen Zehntausend, High-Society
  • on all fours    auf allen Vieren

Ελληνική (Greek)
n. - τέσσερα, τεσσάρι
pron. - τέσσερα, τέσσερις

idioms:

  • Four Hundred    η ολιγαρχία του πλούτου
  • go on all fours    μπουσουλιστά, πέρα για πέρα, ύπαρξη δεδικασμένου ή προηγουμένου

Italiano (Italian)
tiro a quattro, quartetto, quattro

idioms:

  • Four Hundred    i Quattrocento
  • go on all fours    andare a quattro zampe, camminare carponi

Português (Portuguese)
n. - quatro (m) (numeral)

idioms:

  • Four Hundred    elite (f) social
  • go on all fours    de quatro

Русский (Russian)
четыре, четверо

idioms:

  • Four Hundred    (амер.) самые важные семейства
  • go on all fours    идти на четвереньках

Español (Spanish)
n. - cuatro, cuarteto, cuadriga, tiro de cuatro caballos
adj. - cuatro

idioms:

  • Four Hundred    clases prominentes, alta sociedad, aristocracia, elite
  • on all fours    en cuatro patas, a gatas

Svenska (Swedish)
n. - fyra, fyra (rodd)

中文(简体)(Chinese (Simplified))
四, 四个

idioms:

  • Four Hundred    名流, 绅士
  • go on all fours    爬行

中文(繁體)(Chinese (Traditional))
num. - 四, 四個
n. - 四, 四個

idioms:

  • Four Hundred    名流, 紳士
  • go on all fours    爬行

한국어 (Korean)
num. - 4
n. - 4개, 4의 기호

idioms:

  • go on all fours    네발로 기어가다, 꼭 맞다

日本語 (Japanese)
n. - 4の数字, 4個, フォア, 4個一組のもの, 4時, 4歳, 4の札
adj. - 4の, 4歳の

idioms:

  • Four Hundred    社交界のお歴々
  • go on all fours    うまく相応している
  • on all fours    四つんばいになって

العربيه (Arabic)
‏(الاسم) أربعه‏

עברית (Hebrew)
n. - ‮ארבע, סירה עם ארבעה חותרים, מכה הטובה לארבע ריצות (קריקט)‬


Best of the Web:

four

Top

Some good "four" pages on the web:


Math
mathworld.wolfram.com
 
 
 

 

Copyrights:

American Heritage Dictionary. The American Heritage® Dictionary of the English Language, Fourth Edition Copyright © 2007, 2000 by Houghton Mifflin Company. Updated in 2009. Published by Houghton Mifflin Company. All rights reserved.  Read more
Oxford Dictionary of Units & Measures. A Dictionary of Weights, Measures, and Units. Copyright © Donald Fenna 2002, 2004. All rights reserved.  Read more
American Heritage Dictionary of Idioms. The American Heritage® Dictionary of Idioms by Christine Ammer. Copyright © 1997 by The Christine Ammer 1992 Trust. Published by Houghton Mifflin Company. All rights reserved.  Read more
Word Tutor. Copyright © 2004-present by eSpindle Learning, a 501(c) nonprofit organization. All rights reserved.
eSpindle provides personalized spelling and vocabulary tutoring online; sign up free Read more
Sign Language Videos. Copyright © 2009 Signing Savvy, LLC. All rights reserved.  Read more
The Dream Encyclopedia. The Dreams Encyclopedia. 1995 ©Visible Ink Press (VisibleInkPress.com). All rights reserved.  Read more
 Rhymes. Oxford University Press. © 2006, 2007 All rights reserved.  Read more
Bradford's Crossword Solver's Dictionary. Collins Bradford's Crossword Solver's Dictionary © Anne Bradford, 1986, 1993, 1997, 2000, 2003, 2005, 2008 HarperCollins Publishers All rights reserved.  Read more
Wikipedia on Answers.com. This article is licensed under the Creative Commons Attribution/Share-Alike License. It uses material from the Wikipedia article 4 (number) Read more
Translations. Copyright © 2007, WizCom Technologies Ltd. All rights reserved.  Read more

Follow us
Facebook Twitter
YouTube