Mathematica pur
Mathematica pur |
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instantia de: disciplina academic[*], academic major[*] |
subclasse de: mathematica, basic research[*] |
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Mathematica pur es un ex duo divisiones basal de mathematica. Mathematica es dividite essentialmente in duo principal subramos: mathematica pur e mathematica applicate. Mathematica pur ha como su base le studio abstracte de quantitate e assi include le scientias de numero, arithmetica e su realisation plus large algebra. Illo anque include le typos diverse de geometria: geometria analytic, geometria euclidian, geometria non-euclidian, trigonometria e alicun vices topologia; analyse includente le calculo e analyse vectorial. In mathematica moderne, multe ex themas esse tractate secundo le ideas de theoria del ensembles.
"Mathematica pur era discoperate per Boole, in... Laws of Thought (1854)... Mathematica pur consiste in toto de assertiones significante que, si certe proposition es ver de qualcosa, in consequentia certe altere proposition es ver de esse cosa. Il es essential non discuter si le prime proposition es ver in realitate, e non mentionar que es le qualcosa, del qual illo es supponite ser ver... Ergo mathematica pote ser definite como le subjecto in le qual nos nunquam cognosce que es que nos discute, ni si que nos dice es ver."
— Bertrand Russell, Mathematics and the Metaphysicians, 1901[1][2]
Referentias
[modificar | modificar fonte]- ↑ https://users.drew.edu/~jlenz/br-ml-ch5.html
- ↑ https://books.google.com/books?id=kBS-AgAAQBAJ&pg=PA221&lpg=PA221&dq=%22Pure+mathematics+consists+entirely+of+assertions+to+the+effect+that,+if+such+and+such+a+proposition+is+true+of+anything,+then+such+and+such+another+proposition+is+true+of+that+thing%22&source=bl&ots=W2kWZ2tDmE&sig=ACfU3U33wHtxbbm1b3QYIZppnEyPqfo44w&hl=en&sa=X&ved=2ahUKEwjG2qGps62BAxVVkYkEHX2MAX8Q6AF6BAglEAI#v=onepage&q=%22Pure%20mathematics%20consists%20entirely%20of%20assertions%20to%20the%20effect%20that%2C%20if%20such%20and%20such%20a%20proposition%20is%20true%20of%20anything%2C%20then%20such%20and%20such%20another%20proposition%20is%20true%20of%20that%20thing%22&f=false