Temat: categoricity - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Uporządkowane struktury liczbowe
Ordered number structures
Autorzy:: Chronowski, Antoni
Powiązania:: https://bibliotekanauki.pl/articles/1789399.pdf
Data publikacji:: 2017-07-05
Wydawca:: Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
Tematy:: ordered number systems
categoricity
Opis:: In this article we consider the ordered algebraic structures of thesystems of natural numbers, integers, rational and real numbers. We presentthe ordered algebra of natural numbers, the ordered ring of integers, and theordered fields of rational and real numbers. The main problem considered forordered number structures is the categoricity of these systems determined bya suitable isomorphism. First of all, this article is addressed at Mathematicsstudents of pedagogical studies and at teachers of Mathematics.
Źródło:: Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia; 2013, 5; 5-37
2080-9751
2450-341X
Pojawia się w:: Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Completeness, Categoricity and Imaginary Numbers: The Debate on Husserl
Autorzy:: Aranda, Víctor
Powiązania:: https://bibliotekanauki.pl/articles/750024.pdf
Data publikacji:: 2020
Wydawca:: Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:: Husserl
completeness
categoricity
relative and absolute definiteness
imaginary numbers
Opis:: Husserl's two notions of "definiteness" enabled him to clarify the problem of imaginary numbers. The exact meaning of these notions is a topic of much controversy. A "definite" axiom system has been interpreted as a syntactically complete theory, and also as a categorical one. I discuss whether and how far these readings manage to capture Husserl's goal of elucidating the problem of imaginary numbers, raising objections to both positions. Then, I suggest an interpretation of "absolute definiteness" as semantic completeness and argue that this notion does not suffice to explain Husserl's solution to the problem of imaginary numbers.
Źródło:: Bulletin of the Section of Logic; 2020, 49, 2
0138-0680
2449-836X
Pojawia się w:: Bulletin of the Section of Logic
Dostawca treści:: Biblioteka Nauki

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