Téori impunan

A Venn diagram illustrating the intersection of two sets.

Téori himpunan iku cabang logika matématika sing nyinaoni himpunan, kang ora resminé yaiku kumpulan barang. Senajan sembarang tipe obyèk bisa diklumpukake menyang himpunan, téori himpunan digunakaké paling kereb kanggo obyek sing cocog kanggo matématika. Basa téori himpunan bisa digunakake ing ukara saklawasé kabeh objèk matématika.

Pangkajian modhèrn téori himpunan iki diwiwiti dening Georg Cantor lan Richard Dedekind ing 1870-an. Sawisé ditemokaké paradhoks ing téori himpunan naif, akeh sistem aksiom padha diajokaké ing awal abad rong puloh, sing paling misuwur yaiku aksioma Zermelo-Fraenkel, nganggo aksiom pilihan.

Téori himpunan umum digunaaké minangka sistem dhasar kanggo matématika, utamané ing wangun téori himpunan Zermelo-Fraenkel karo aksiom pilihan. Saknjabane peran dhasaré, téori himpunan iku cabang matématika dhewe, kanthi masyarakat risèt aktif. Risèt kontemporer saka téori himpunan kalebu topik kang werna-werna, saka struktur garis wilangan réal nganti nyinaoni konsistènsi saka kardinal 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