Seta dzidziso ikozvino chikamu chemasvomhu. Isu tese tinoziva kuti inonzi seti chero muunganidzwa wezvinhu unosiyanisa zvakajeka kubva kune mumwe nemumwe, uyo ane imwechete (kana zvimwe) hunhu hwakafanana. Seta dzidziso dzinoongorora izvo zvivakwa uye hukama hwemaseti; Iyi munda yakasimudzirwa naBolzano naCantor, ndokuzokwaniswa kare muzana ramakumi maviri nevamwe vadzidzi vemasvomhu, vakadai saZermelo naFraenkel.
Izvo zvakakosha kuti seti yega ichinyatsotsanangurwa, ndokuti, kuti inogona kusimbiswa nemazvo kunyangwe ikapihwa chinhu, icho chiri kana kwete cheseeti.
- Vhura math izvi zvinowanzo nanga. Semuenzaniso, kana iyo seti yemamwe manhamba akakura kudarika 1 uye isingasviki gumi neshanu inofungidzirwa, zviri pachena kuti seti iyi ichaumbwa nemanhamba 2, 4, 6, 8, 10, 12 ne14 chete.
- At mutauro wakajairika, kutaura nezveboka kunogona kutadza kujekesa, nekuti kana tichida kuumba boka revaimbi vakanaka, semuenzaniso, maonero achasiyana uye hapazovi nekubvumirana kwakakwana pamusoro pekuti ndiani achange ari muchikwata ichi uye ndiani asiri . Mamwe maseti akasarudzika maseti asina chinhu (asina zvinhu) kana maseti akabatana (ane chinhu chimwe chete).
Iyo zvinhu zviri chikamu cheseeti zvinodaidzwa kunzi nhengo kana zvinhu, uye maseti anomiririrwa muzvinyorwa zvakanyorwa zvakavharirwa muzvikorekedzo: {}. Mukati mechikwambo, zvinhu zvinopatsanurwa nemakoma. Dzinogona zvakare kumiririrwa nemifananidzo yaVenn, iyo inovhara kuunganidzwa kwezvinhu izvo zvinogadzira yega seti mune yakasimba uye yakavharwa tambo, kazhinji muchimiro che denderedzwa. Kana paine akati wandei eiyi mitsetse yakavharwa, yega yega inopihwa tsamba huru (A, B, C, nezvimwewo) uye seti yepasirese yeaya anomiririrwa netsamba U, zvinoreva kuti pasi rose.
Nemaseti aunogona kuita mashandiro; iwo makuru ndeemubatanidzwa, mharadzano, musiyano, mukwanisi uye chigadzirwa cheCartesian. Kubatana kwemaseti maviri A uye B kunotsanangurwa seyakagadzika A ∪ B uye izvi zvine chinhu chimwe nechimwe chiri mune chimwe chazvo. Iyo yakaenzana equation inomiririra iyo ndeiyi:
- TO= {José, Jerónimo}, B= {María, Mabel, Marcela}; AUB= {José, Jerónimo, María, Mabel, Marcela}
- P= {peya, apuro}, C= {ndimu, orenji}; F= {Cherry, currant};PUCUF = {peya, apuro, ndimu, orenji, cherry, currant}
- M={7, 9, 11}, N={4, 6, 8}; MUN={7, 9, 11, 4, 6, 8}
- R= {bhora, kuita mutserendende, chando, G= {padhani, bhora, kuita mutserendende muchando); RUG= {bhora, paddle, kuita mutserendende muchando]
- C= {daisy}, S= {kuchenesa}; CUS = {zvinotyisa, kurira}
- C= {daisy}, S= {kuchenesa}; T= {bhodhoro}, CUSUT = {margarita, kuchenesa, bhodhoro}
- G= {girini, bhuruu, nhema}, H= {nhema}; GUH= {girini, bhuruu, dema}
- TO={ 1, 3, 5, 7, 9 }; B={ 10, 11, 12 }; AUB={ 1, 3, 5, 7, 9, 10, 11, 12 }
- D= {Chipiri, China}, Uye= {Chitatu, Chishanu}; ZVINOKOSHA = {Chipiri, Chitatu, China, Chishanu}
- B= {umhutu, nyuchi, hummingbird}; C= {mhou, imbwa, bhiza}; BUC= {mosikito, nyuchi, hummingbird, mhou, imbwa, bhiza}
- TO={2, 4, 6, 8}, B={1, 2, 3, 4}; AUB={1, 2, 3, 4, 6, 8}
- P= {tafura, chigaro}, Mubvunzo= {tafura, chigaro}; PUQ= {tafura, chigaro}
- TO= {chingwa}, B = {chizi}; AUB= {chingwa, chizi}
- TO={20, 30, 40}, B= {5, 15}; AUB ={5, 15, 20, 30, 40}
- M= {Ndira, Kukadzi, Kurume, Kubvumbi}, N= {Mbudzi, Zvita}; MUN= {Ndira, Kukadzi, Kurume, Kubvumbi, Mbudzi, Zvita}
- F={12, 22, 32, 42}, G= {a, e, i, o, u}; FUG= {12, 22, 32, 42, a, e, i, i, o, u
- TO= {zhizha}, B= {nguva yechando}; AUB= {zhizha, chando}
- S= {shangu, tsvedza, pafiripi}, R= {hembe}; CHAMHEMBE= {shangu, chinotsvedza, flip flop, hembe}
- H= {Muvhuro, Chipiri}, R= {Muvhuro, Chipiri}, D= {Muvhuro, Chipiri}; HURUD= {Muvhuro, Chipiri}
- P= {tsvuku, bhuruu}, Mubvunzo= {girini, yero}, PUQ= {tsvuku, bhuruu, girini, yero}
