RWkPXJ09ZFAeC

A linguistic world of numbers

Source: domena publiczna.

Link to the lesson

You will learn
  • you will tell what functions in language numeralnumeralnumeral perform

  • you will recognise countablecountable nouncountable uncountableuncountable noununcountable nouns

  • you will represent numerical values in different ways

  • you will use different terms for units of measurementunits of measurementunits of measurement and massunits of massmass

RXIRp93AQYuuR
nagranie abstraktu

Thanks to language, we not only describe the world, but also indicate numbers, measures and quantities. Specific mathematical values – written with numbers – are expressed by different numerals. These are words that define a set of things, objects, phenomena („pięć”, “pięcioro”), order („piąty”), and even portions written using traditional fractions („ćwierć”, “pół”, “półtora”). However, we are not always able to give specific figures for certain phenomena. Then we use approximate descriptive data, or more precisely, we use words that speak of the greatness or smallness, intensityfeature intensityintensity or weakness of something.

R1TOJDv9kaxYx
Exercise 1
Do you recognise the units of measurement? Decide about their category. Measures of length Units of mass Measures of volume Możliwe odpowiedzi: 1. yard, 2. glassful, 3. litre, 4. pint, 5. ounce, 6. kilogramme, 7. cubit, 8. tonne, 9. foot, 10. metre, 11. pound, 12. gallon
RJhgymrRXpjRs
Exercise 2
Ćwiczenie alternatywne: The English units of measurement and mass differ from the Polish units. Check if you know them. Try to fill the gaps in the sentences: 0.57 liters equal one UZUPEŁNIJ. 28.5 grams equal one UZUPEŁNIJ. 1609 meters equal one UZUPEŁNIJ. 8 gallons equal one UZUPEŁNIJ. 0.264 gallons equal one UZUPEŁNIJ. 91.44 centimeters equal one UZUPEŁNIJ. 14 pounds equal one UZUPEŁNIJ.

Number category

Number is one of the most important categories that can be found in the variety of different parts of speech. In the Polish language, the following parts of speech inflect by number:

  • nouns,

  • adjectives,

  • some pronouns,

  • verbs.

RSQCToQYPP3vu
Exercise 3
Ćwiczenie alternatywne: Decide which of the following nouns are countable and which are uncountable. Nouns: myślenie (thinking), szczęście (happiness), lustro (mirror), miłość (love), zachowanie (behaviour), charakter (character), ryzyko (risk), uroda (beauty), miłość (love), cukierek (candy), tlen (oxygen), zazdrość (jealousy), kwiat (flower), sytuacja (situation).

Nouns that define sets consisting of one or more elements are countable. This is the majority of specific words:

  • one house – two houses,

  • one cat – one hundred cats.

However, it is not always possible to accurately indicate the numerical values of groups or sets. Those nouns, for which we are unable to indicate a numeral replacing a number, but only an approximate value, are uncountable: “concrete”, “air”, “furniture”.

Their size is often expressed in words: “mało”, “wiele”, “dużo” – which, although referring to the world of numbers, are adverbs and not numbers.

There is one more phenomenon connected with countability. Namely, in the Polish language we can find words that appear only in the singular („powietrze”, “magnez”, “radość”, “romantyzm”). These are usually nouns that name substances, indivisible forms or abstract concepts (mental, intellectual, artistic).

R3U1HynELUxZm
Exercise 4
Ćwiczenie alternatywne: In Polish language there are nouns that have only a singular or a plural form. Can you give some examples?

In the old Polish language, objects that appeared in pairs were described using the so‑called dual. It does not appear in contemporary language, but its traces can be found in expressions: “dwoje oczu”, “dwoje uszu” (’organs of vision and hearing’) or in the saying: “Mądrej głowie dość dwie słowie”. The history of the language has thus left its mark on grammar – because there are a few words that name objects that are only plural: “nożyce”, “skrzypce”, “spodnie”, “okulary”, also – “bakalie”. Some names also have only a plural form: “Karkonosze”, “Tatry”, “Himalaje”, “Ateny”, “Złotniki” etc.

How else is it possible to express numerical values in the language?

RNpGudckbLwZi1
Parts of speech Numbers also refer to dimensions. When we calculate the circumference, the area, the volume of a figure, we give the length of its sides. Similarly, in language we have many words that name the dimension or define the approximate shape of objects, larger or smaller sets. In such description, apart from numerals, adverbs, e.g. „dużo” ('a lot'), „mało” ('little'), „wiele” ('many'), „więcej” ('more'), „mniej” ('less'), are useful as well as numeral pronouns: „kilka” ('a few'), „parę” ('a couple'), „trochę” ('a little'). We also create many names that come from numerical categories, such as nouns, e.g. „jedynka” ('one'), „dwójka” ('two'), „trójkąt” ('triangle'), „czworobok” ('quadrangle'), „ćwiartka” ('quarter'), „połówka” ('half')., Word formation Many objects, because they have features referring to countable phenomena, are characterised by words in which we find fragments of numerals, e.g. „czterolistny” ('four-leaf'), „parzystokopytny” ('artiodactyl'), „trójkątny” ('triangular'), „ośmiokątny” ('octagonal')., Mathematical terminology A rich collection of words – belonging to the world of numbers and values – appears primarily in the terminology of science (mathematics, physics, information technology, etc.). It is composed of the commonly known words: "ułamek zwykły” ('fraction') and „dziesiętny” ('a decimal fraction'), „suma” ('sum'), „różnica” ('difference'), „iloczyn” ('ratio'), „iloraz” ('quotient'), „pierwiastek” ('radical'), „procent” ('percent'), etc., Metaphors They often appear in everyday language – in isolation from scientific reality – as a metaphorical component of many sayings in which we try to determine the importance of some issues, compare situations or objects in an approximate way, e.g. “to są plusy i minusy czegoś”, “zdarzyło się to w ułamku sekundy”, “coś jest dodatnie”. The meaning of many words is based on common thinking about mathematical values – this is evidenced, for example, by the sayings: „podać coś komuś w przybliżeniu”, „dzielić włos na czworo”, „mnożyć problemy” etc., Diminutives and augmentatives In grammar there are several categories in which there are common ideas of numbers and dimensions – in fact, they are used to illustrate additional concepts or meanings with which we associate given words. The first important opposition is “greatness – smallness”. It can be found in the particles that create diminutives: „lampka” (‘small lamp’), „stoliczek” (‘small table’), „piesek” (‘small dog’) or augmentatives: „bucisko” (‘big shoe’), „zamczysko” (‘big castle’), „psisko” (‘big dog’)., Intensifying or reducing a feature Information on size and intensity also appears in adjectives, some of which have inscribed meaning of the intensity of a feature: „ogromny – ogromniasty”, „długi – długaśny”, while others say that a feature has become reduced: „biały – białawy”, „krótki – krótkawy”, „długi – długawy”., Repeatability Also in many verbs you will find information about the singleness, repeatability or multipleness of some events: „mówić” (to tell once), „mawiać” (to tell many times), „przepisać” (to rewrite once), „przepisywać” (to rewrite many times).
R1420v9vVnMHR1
Exercise 5
Ćwiczenie alternatywne: Each listed word has in its meaning the information about the size, number or dimension. Select the correct category for every word. Use the pattern: płotek – information: smallness. Use following categories: greatness; smallness; set; reducing something; multipleness or repeatability. Words: wietrzysko; przesiedzieć' czerwonawy; nochal; chadzać; robactwo; pracuś; tłum; kłamczuch.
R91iuadrKPGNV
Exercise 6
Ćwiczenie alternatywne: In the language we can style our ideas. There is a category of style which works just like in artistic works – also in photography. You can take a photo of an object in three dimensions. You use a zoom lens to zoom in on something or a wide-angle lens to zoom out on the same thing. Assign every word to one of the groups to express their profile in the camera lens. There are following groups: decrease; neutral profile; enlargement. Words: zameczek, najeść się, zamczysko, naczytać się, kłamczuszek, przemiły, milutki, czytywać, podjadać, kłamczuch, zamek, jeść, kłamca, czytać, miły.
Exercise 7

Suggest your own keyword order for this topic. You can be guided by what interested, touched, surprised you, etc. Prepare a short justification of your suggestion.

  • numeral

  • countability

  • uncountability

  • size

  • enlargementenlargementenlargement

  • decreasedecreasedecrease

RBvi4TPbBzX1I
Wykonaj ćwiczenie zgodnie z poleceniem.
Exercise 8

Find sayings, idiomatic expressions, proverbs or maxims which include words referring to the world of numbers, e.g. gdzie dwóch się bije, tam trzeci korzysta; mnożyć problemy; dzielić włos na czworo. Explain their meanings. Consider in which situations they are most commonly used.

Exercise 9
RDghUDfDeizmY
Prepare a question for a friend or colleague. Check if he/she can remember the lesson information.

Keywords

number, numeral, number category

Glossary

numeral
numeral
RLFaDGlvzyczn
Nagranie słówka: numeral

liczebnik

countable noun
countable noun
R1EvxMrLsTz48
Nagranie słówka: countable noun

rzeczownik policzalny

uncountable noun
uncountable noun
R1TgINhZpg0F2
Nagranie słówka: uncountable noun

rzeczownik niepoliczalny

size
size
RUnfESW9UmDyA
Nagranie słówka: size

rozmiar

enlargement
enlargement
RRc93NIycs4Ix
Nagranie słówka: enlargement

powiększenie

decrease
decrease
RHsXuvcgrPXgT
Nagranie słówka: decrease

pomniejszenie

feature intensity
feature intensity
RGe1tQDAdjhWF
Nagranie słówka: feature intensity

intensywność cechy

units of measurement
units of measurement
R1MwUdVlawNd1
Nagranie słówka: units of measurement

jednostki miary

units of mass
units of mass
R1YGnXTiwwMtt
Nagranie słówka: units of mass

jednostki masy