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obiekt matematyczny

English translation: mathematical object

GLOSSARY ENTRY (DERIVED FROM QUESTION BELOW)
Polish term or phrase:obiekt matematyczny
English translation:mathematical object
Entered by: Lota

07:51 Aug 16, 2016
Polish to English translations [PRO]
Science - Mathematics & Statistics
Polish term or phrase: obiekt matematyczny
ogólny rozpis programu nauczania matematyki. Powyższe figuruje w zdaniu "Uczeń używa prostych obiektów matematycznych".

Dziękuję Państwu i dobranoc.
Lota
United States
Local time: 02:10
mathematical object
Explanation:
A mathematical object

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Note added at 30 mins (2016-08-16 08:21:40 GMT)
--------------------------------------------------

Mathematical objects are what we talk and write about when we do math.
- Numbers, functions, triangles, matrices, groups and more complicated things such as vector spaces and infinite series are all examples of mathematical objects.
http://abstractmath.org/MM/MMMathObj.htm

Selected response from:

mike23
Poland
Local time: 11:10
Grading comment
Thank you
4 KudoZ points were awarded for this answer



Summary of answers provided
3 +3mathematical object
mike23
3mathematical entity
Remolek
Summary of reference entries provided
Obiekt matematyczny/Mathematical object
Frank Szmulowicz, Ph. D.

  

Answers


28 mins   confidence: Answerer confidence 3/5Answerer confidence 3/5 peer agreement (net): +3
mathematical object


Explanation:
A mathematical object

--------------------------------------------------
Note added at 30 mins (2016-08-16 08:21:40 GMT)
--------------------------------------------------

Mathematical objects are what we talk and write about when we do math.
- Numbers, functions, triangles, matrices, groups and more complicated things such as vector spaces and infinite series are all examples of mathematical objects.
http://abstractmath.org/MM/MMMathObj.htm



mike23
Poland
Local time: 11:10
Native speaker of: Native in PolishPolish
PRO pts in category: 12
Grading comment
Thank you

Peer comments on this answer (and responses from the answerer)
agree  Frank Szmulowicz, Ph. D.
1 hr
  -> Dziekuję Frank, pozdrawiam
agree  M.A.B.
4 hrs
  -> Dziękuję
agree  DLyons
6 hrs
  -> Dziękuję
Login to enter a peer comment (or grade)

10 hrs   confidence: Answerer confidence 3/5Answerer confidence 3/5
mathematical entity


Explanation:
Powinno dać się używać wymiennie z "object" w większości kontekstów.

Nie wiem, czy filozofowie nauki nie robią jakichś terminologicznych rozróżnień, ale w przykładowym artykule poniżej, jak widać – nie.

Example sentence(s):
  • Many mathematical objects arise from equivalence classes, and invite implementation as those classes.
  • The second restriction is to entities arising from equivalence relations.

    https://www.dpmms.cam.ac.uk/~tf/munichtalkfirstversion.pdf
Remolek
Poland
Local time: 11:10
Works in field
Native speaker of: Native in PolishPolish
PRO pts in category: 20
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Reference comments


2 hrs peer agreement (net): +1
Reference: Obiekt matematyczny/Mathematical object

Reference information:
Obiekt matematyczny - obiekt abstrakcyjny, będący przedmiotem rozważań matematyki.
Obiektami matematycznymi są np. liczby, permutacje, podziały, macierze, zbiory, funkcje, relacje, przestrzenie, topologie. W geometrii obiektami są np. punkt, prosta, płaszczyzna, odcinek, trójkąt, okrąg, sfera, wielościan, przestrzeń, rozmaitość. W algebrze mamy: monoidy, półgrupy, grupy, pierścienie, pola, algebry.
Status ontologiczny obiektów matematycznych jest przedmiotem badań filozofii matematyki.
https://pl.wikipedia.org/wiki/Obiekt_matematyczny
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A mathematical object is an abstract object arising in mathematics. The concept is studied in philosophy of mathematics.
In mathematical practice, an object is anything that has been (or could be) formally defined, and with which one may do deductive reasoning and mathematical proofs. Commonly encountered mathematical objects include numbers, permutations, partitions, matrices, sets, functions, and relations. Geometry as a branch of mathematics has such objects as hexagons, points, lines, triangles, circles, spheres, polyhedra, topological spaces and manifolds. Another branch—algebra—has groups, rings, fields, group-theoretic lattices, and order-theoretic lattices. Categories are simultaneously homes to mathematical objects and mathematical objects in their own right. In proof theory, proofs and theorems are also mathematical objects.

https://en.wikipedia.org/wiki/Mathematical_object

Frank Szmulowicz, Ph. D.
United States
Works in field
Native speaker of: Native in EnglishEnglish, Native in PolishPolish
PRO pts in category: 168

Peer comments on this reference comment (and responses from the reference poster)
agree  mike23
8 hrs
  -> Dziękuję Michale.
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