Téori impunan

A Venn diagram illustrating the intersection of two sets.

Téyori impunan iku cawang logika matématika kang nyinaoni impunan, kang ora resminé ya iku kumpulan barang. Sanajan sembarang tipe obyèk bisa diklumpukaké dadi impunan, téyori impunan digunakaké paling kerep kanggo obyek kang cocog kanggo matématika. Basa téyori impunan bisa digunakaké ing ukara salawasé kabèh objèk matématika.

Kajian modhèren téyori impunan iki diwiwiti déning Georg Cantor lan Richard Dedekind ing 1870-an. Sawisé tinemu paradhoks ing téyori impunan naif, akèh sistem aksiom padha diajokaké ing awal abad rong puluh, kang paling misuwur ya iku aksiom Zermelo-Fraenkel, nganggo aksioma pilihan.

Téyori impunan umum digunakaké minangka sistem dhasar kanggo matématika, mligi ing wangun téyori impunan Zermelo-Fraenkel karo aksiom pilihan. Sajabane kagunan dhasaré, téyori impunan iku cawang matématika dhéwé, kanthi masarakat riset kang aktif. Riset kontemporèr saka téyori impunan kalebu topik kang warna-warna, saka struktur garis wilangan réal nganti nyinaoni konsistènsi saka kardhinal gedhé.

Wacan luwih lanjut

• Devlin, Keith, 1993. The Joy of Sets (2nd ed.). Springer Verlag, ISBN 0-387-94094-4
• Ferreirós, Jose, 2007 (1999). Labyrinth of Thought: A history of set theory and its role in modern mathematics. Basel, Birkhäuser. ISBN 978-3-7643-8349-7
• Johnson, Philip, 1972. A History of Set Theory. Prindle, Weber & Schmidt ISBN 0-87150-154-6
• Kunen, Kenneth, 1980. Set Theory: An Introduction to Independence Proofs. North-Holland, ISBN 0-444-85401-0.
• Potter, Michael, 2004. Set Theory and Its Philosophy: A Critical Introduction. Oxford University Press.
• Tiles, Mary, 2004 (1989). The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise. Dover Publications. ISBN 978-0-486-43520-6

Pranala njaba

Wikibooks

Wikibooks gadhah buku kanthi sesirah

Set Theory

Wikibooks

Wikibooks gadhah buku kanthi sesirah

Discrete mathematics/Set theory

• Foreman, Matthew, Akihiro Kanamori, eds. Handbook of Set Theory. 3 vols., 2010. Each chapter surveys some aspect of contemporary research in set theory. Does not cover established elementary set theory, on which see Devlin (1993).
• Cithakan:Springer
• Cithakan:Springer
• Jech, Thomas (2002). "Set Theory", Stanford Encyclopedia of Philosophy.
• Schoenflies, Arthur (1898). Mengenlehre in Klein's encyclopedia.
• Cithakan:Library resources about