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What (who) is reals - definition
Tarski axiomatization of the reals
Real
WIKIMEDIA DISAMBIGUATION PAGE
Reals; Real (currency); Real (coin); Real (song); Real (disambiguation); Reales; Real (album); REAL; Real (EP); Real (film); Real (surname)
·adj Royal; regal; kingly.
II. Real ·noun A Realist.
III. Real ·adj Relating to things, not to persons.
IV. Real ·adj Having an assignable arithmetical or numerical value or meaning; not imaginary.
V. Real ·adj Actually being or existing; not fictitious or imaginary; as, a description of real life.
VI. Real ·noun A small Spanish silver coin; also, a denomination of money of account, formerly the unit of the Spanish monetary system.
VII. Real ·adj True; genuine; not artificial, counterfeit, or factitious; often opposed to ostensible; as, the real reason; real Madeira wine; real ginger.
VIII. Real ·adj Pertaining to things fixed, permanent, or immovable, as to lands and tenements; as, real property, in distinction from personal or movable property.
real
WIKIMEDIA DISAMBIGUATION PAGE
Reals; Real (currency); Real (coin); Real (song); Real (disambiguation); Reales; Real (album); REAL; Real (EP); Real (film); Real (surname)
Frequency: The word is one of the 700 most common words in English.
1.
Something that is real actually exists and is not imagined, invented, or theoretical.
No, it wasn't a dream. It was real...
Legends grew up around a great many figures, both real and fictitious.
? imaginary
ADJ
2.
If something is real to someone, they experience it as though it really exists or happens, even though it does not.
Whitechild's life becomes increasingly real to the reader.
ADJ: usu v-link ADJ, oft ADJ to n
3.
A material or object that is real is natural or functioning, and not artificial or an imitation.
...the smell of real leather...
Who's to know if they're real guns or not?...
= genuine
ADJ: usu ADJ n
4.
You can use real to describe someone or something that has all the characteristics or qualities that such a person or thing typically has.
...his first real girlfriend...
The only real job I'd ever had was as manager of the local cafe.
= proper
ADJ: ADJ n
5.
You can use real to describe something that is the true or original thing of its kind, in contrast to one that someone wants you to believe is true.
This was the real reason for her call...
Her real name had been Miriam Pinckus.
= true
ADJ: ADJ n
6.
You can use real to describe something that is the most important or typical part of a thing.
When he talks, he only gives glimpses of his real self...
The smart executive has people he can trust doing all the real work.
ADJ: ADJ n
7.
You can use real when you are talking about a situation or feeling to emphasize that it exists and is important or serious.
Global warming is a real problem...
The prospect of civil war is very real...
There was never any real danger of the children being affected...
ADJ: usu ADJ n [emphasis]
8.
You can use real to emphasize a quality that is genuine and sincere.
Germany has shown real determination to come to terms with the anti-Semitism of its past.
ADJ: ADJ n [emphasis]
9.
You can use real before nouns to emphasize your description of something or someone. (mainly SPOKEN)
'It's a fabulous deal, a real bargain.'
ADJ: ADJ n [emphasis]
10.
The real cost or value of something is its cost or value after other amounts have been added or subtracted and when factors such as the level of inflation have been considered.
...the real cost of borrowing.
= actual, net
ADJ: ADJ n
•
You can also talk about the cost or value of something in real terms.
In real terms the cost of driving is cheaper than a decade ago...
PHRASE: PHR with cl
11.
You can use real to emphasize an adjective or adverb. (AM INFORMAL)
He is finding prison life 'real tough'...
= really
ADV: ADV adj/adv [emphasis]
12.
If you say that someone does something for real, you mean that they actually do it and do not just pretend to do it.
The sex scenes were just good acting. We didn't do it for real.
PHRASE: usu PHR after v
13.
If you think that someone or something is very surprising, you can ask if they are for real. (AM INFORMAL)
Is this guy for real?
PHRASE: v-link PHR
14.
If you say that a thing or event is the real thing, you mean that it is the thing or event itself, rather than an imitation or copy.
The counterfeits sell for about $20 less than the real thing...
PHRASE
real
WIKIMEDIA DISAMBIGUATION PAGE
Reals; Real (currency); Real (coin); Real (song); Real (disambiguation); Reales; Real (album); REAL; Real (EP); Real (film); Real (surname)
Really, just quicker to say.
I miss u so much, I real wanna see u.
I miss u so much, I real wanna see u.
Wikipedia
Tarski's axiomatization of the reals
In 1936, Alfred Tarski set out an axiomatization of the real numbers and their arithmetic, consisting of only the 8 axioms shown below and a mere four primitive notions: the set of reals denoted R, a binary total order over R, denoted by infix <, a binary operation of addition over R, denoted by infix +, and the constant 1.
The literature occasionally mentions this axiomatization but never goes into detail, notwithstanding its economy and elegant metamathematical properties. This axiomatization appears little known, possibly because of its second-order nature. Tarski's axiomatization can be seen as a version of the more usual definition of real numbers as the unique Dedekind-complete ordered field; it is however made much more concise by using unorthodox variants of standard algebraic axioms and other subtle tricks (see e.g. axioms 4 and 5, which combine the usual four axioms of abelian groups).
The term "Tarski's axiomatization of real numbers" also refers to the theory of real closed fields, which Tarski showed completely axiomatizes the first-order theory of the structure 〈R, +, ·, <〉.
Examples of use of reals
1. Sugar cane cutters receive between 700 to 800 reals ($368 to $421) per month, far above the nation‘s minimum wage of 380 reals ($200). In the Amazon region, many workers make less than the minimum.
2. Sugar cane cutters receive 700 to 800 reals ($368 to $421) a month, far above the nation‘s minimum wage of 380 reals ($200). In the Amazon region, many workers make less than the minimum.
3. The dollar fell to a floating–era record of 1.6805 Brazilian reals, according to Gilmore.
4. "In 2003, a bag of cement cost 22 reals," Lula told the crowd.
5. "Today, you can buy it for 10 reals," less than $5.