E kore te taunakitanga e hiahiatia ana: ko te tauira o te axiom

He aha te mea i muri i te kupu ngaro "axiom", haere mai te reira i te wahi me te aha te tikanga o te reira? Kura 7-8 māka ngāwari pahono i teie uiraa no te mea tata, ki te whanaketanga o te akoranga taketake o rererangi āhuahanga, i fehangahangai ia ki te mahi: "nei kua huaina tauākī axioms, hoatu tauira." He pātai rite he pea ki te arahi ki te whakamā te pakeke. Ko te atu te wā haere mai te ako, te uaua ko reira ki te mahara i te taketake o te pūtaiao. Heoi, ko te kupu "axiom" Kei te maha whakamahia i roto i te whakamahi ia rā.

Ko te whakamāramatanga

Na te aha e huaina axioms o whakaaetanga? He tino kanorau, me te kore e iti ki tetahi kotahi rohe o pūtaiao tauira o axioms. Ka mea mai wā i te reo Kariki, me te te auraa "tangohia tūranga".

kī te whakamāramatanga tino o te wā e axiom - te tuhinga matua o tetahi ariā e kore e rapua tohu. He he he ariā whānui i roto i te pāngarau (ina koa āhuahanga), arorau, rapunga whakaaro.

ka mea atu tahito Kariki Aristotle e nga meka kitea, e kore e hiahiatia ana te taunakitanga. Hei tauira, kahore tetahi ruarua e he kitea anake i roto i te ra te rā. whakawhanakehia e ahau tenei ariā e te tahi atu mathematicians - Euclid. He tauira o te axiom e pā ana ki ngā rārangi whakarara e kore whiti tona.

Neke atu i te wa, ke te whakamāramatanga. Na ka kite a axiom rite te timatanga o te pūtaiao e kore anake, me te takawaenga hua rite te tetahi hua, e te kaimahi rite te tīmatanga mō te ariā atu.

Whakaaetanga i te akoranga kura

E whakaurua ngā ākonga ki te mau marôraa mana'o e kore e rapua e te haamauraa i runga i nga mau haapiiraa o pāngarau. Na reira, ka hoatu paetahi kura nui te ohipa: "Homai tauira o axioms", ratou tino maha whakaaro akoranga o āhuahanga me te taurangi. Tenei he tauira o whakautu noa:

• wāhi tika i reira, e te tukinotia reira (takoto arā i runga i te raina tika) me e kore te tono (e kore e takoto i runga i te raina tika);
• Ka taea e koe te utu i te rārangi tika i roto i tetahi ngā e rua;
• ki te wahi i te waka rererangi ki e rua hawhe-rererangi, he mea e tika ana ki te pupuri i te raina tika.

e kore te taurangi, me te tātai i roto i te puka mārama o taua tāpaetanga whakahaeretia, engari e taea te kitea he tauira o te axiom i roto i enei tikanga:

• tetahi tau rite ki ano;
• mua kōwae tau taiao katoa;
• ki te k = l, ka l = k.

Ko te kupu, i roto i e whakaurua otinga ohie ariā atu matatau, i hanga te tūhuratanga, ka nekehia atu te ture tauwehe.

Te paturaa i te ariā pūtaiao e hāngai ana i runga i axioms

Hei hanga i tētahi ariā pūtaiao (pe ko e hā ahua o te rangahau i roto i te pātai), e hiahiatia ana pūtake - te poraka hanga e puta i ai reira. Ko te ngako o te tikanga he pononga: te hanga i te papakupu o ngā, whakatakoto he tauira o te axiom kei i runga i te pūtake o e whakaatu te toe mau marôraa.

kia roto i papakupu pūtaiao ariā taketake, arā, te hunga e kore e taea te tautuhi mā tahi atu:

• Raupapa whakamārama i ia wā, te whakaatu tona uara, tae tetahi turanga pūtaiao.
• Ko te mahi i muri mai - i te tāututanga o te huinga matua o ngā kerēme, i meinga nei hei rawaka mō te tohu o te toe kīanga o te ariā. E whakaae Sami marôraa taketake taua kahore tika.
• Ko te taahiraa whakamutunga - i te hanga, me te mutunga arorau o te ariā.

Marôraa o te ngā sciences

Expression kahore taunakitanga kei roto i te pūtaiao tangohia e kore anake, engari ano hoki i roto i te hunga e e te nuinga o pēnei ki te humanities. He tauira a Tūrongo - he kaupapa e tautuhi ana i te axiom rite te tauākī e taea ako koe, kahore matauranga mahi.

Ko tētahi tauira o te axiom ano i roto i te e whaiwhakaaro ana: "E kore e taea e koe te whakawa i tou ake mahi." I runga i tenei whakaaetanga, putanga ture tivira - paetahi ore ture, e ko, he kaiwhakawa e taea kore rongo i te take, ki te he te reira tika autaki ranei hiahia i roto i reira.

Ehara i tangohia katoa hoki homai

Hei mahino te rerekētanga i waenganui i axioms pono me ngā kīanga ngāwari, i whakaaturia te pono, he mea e tika ana ki te tātari i te huru ki a ratou. Hei tauira, ina tae mai te reira ki te karakia, te wahi tango mea katoa te hoki whakaaetia, i reira he parau tumu whānui o te tuipau tonu e he pono te tahi mea no te mea e kore e taea ki te whakamatau. A i roto i te hapori pūtaiao mea e kore e taea ki te tirohia ra ano tetahi tūranga, aua, ka waiho hei axiom. Hinaaro ki ruarua, tirohia hoki - e te aha titore he kaiputaiao pono.