Kusiyana pakati pe theorem uye axiom

Nhanganyaya

Munyika Mumasvomhu, mazwi maviri anowanzovhiringika ndeaya theorem y axiom. Kunyange zvazvo zvose zviri zviviri zvakakosha mukuvaka ruzivo rwemasvomhu, vane misiyano yakakura maererano netsanangudzo yavo nekushandiswa. Munyaya ino tichakurukura misiyano iyi toona kuti inoshanda sei mumamiriro akasiyana esvomhu.

Definition of theorem

A theorem ipfungwa yemasvomhu yakaonekwa kuti ndeyechokwadi. Mune mamwe mazwi, theorem chirevo chakasimbiswa kuburikidza nemafungiro uye masvomhu. Mafungiro anoshandisa axioms sehwaro hwawo, asi batanidza nzvimbo idzi nedzimwe nharo uye kufunga kuburitsa mhedziso itsva uye yakakosha.

Theorem muenzaniso:

Imwe yedzidziso dzinonyanya kuzivikanwa musvomhu idzidziso yePythagorean, iyo inoti mugonyonhatu rekurudyi, sikweya ye hypotenuse yakaenzana nehuwandu hwemakona emamwe matatu matatu. mativi maviri. Dzidziso iyi yakaratidzwa kekutanga naPythagoras muzana ramakore rechi 5 BC uye kubvira kare yakashandiswa mumapazi mazhinji emasvomhu nefizikisi. kugadzirisa matambudziko zvakaoma.

Tsanangudzo ye axiom

Axiom ipfungwa yemasvomhu inogamuchirwa sechokwadi isingade kuratidzwa. Ichokwadi chinokosha iyo inoshandiswa kugadzira mamwe masvomhu misimboti uye theorems. Axioms ndiyo hwaro hwemasvomhu uye chero humbowo hunofanirwa kunge hwakavakirwa pazviri.

Axiom muenzaniso:

Mumwe wemienzaniso yakajairika yeaxiom ndiyo axiom yesarudzo. Iyi axiom inotaura kuti, yakapihwa muunganidzwa wezvisina-isina seti, pane nzira yekusarudza chinhu kubva pane yega yega muunganidzwa. Iyi axiom inoshandiswa mundima dzakawanda dzemasvomhu uye ine zvakakosha zvinokonzeresa mune set theory uye topology.

Kusiyana pakati pe theorem uye axiom

Musiyano mukuru uripo pakati pechirevo chechinyorwa neaxiom ndewekuti theorem inotaridzwa kuva yechokwadi, nepo axiom ichigamuchirwa sechokwadi pasina humbowo. Axioms ndiyo hwaro hwechero masvomhu system, nepo theorems ari iwo mavakirwo anotorwa kubva mazviri.

Mumwe mutsauko unokosha ndewokuti theorems zvirevo zvitsva zvinobva kune dzimwe nheyo, nepo axiom ichokwadi chekutanga chinobvumira zvimwe zvese kuvakwa. Naizvozvo, theoremu dzinowanzo kuomesesa uye kumberi kupfuura axioms, sezvo dzichibva pane dzimwe kufunga uye masvomhu zvivakwa.

Mhedziso

Muchidimbu, theorem uye axiom mazwi akakosha mumasvomhu. Axiom ichokwadi chakakosha chinogamuchirwa pasina chikonzero chekuratidzira, nepo theorems ari zvirevo zvinobva mazviri kuburikidza nekufunga uye kufunga. Kunzwisisa mutsauko uripo pakati pemazwi aya kwakakosha kune chero munhu anoda kuvaka ruzivo rwavo rwemasvomhu uye nekuishandisa mukugadzirisa matambudziko nekutsvaga munzvimbo ino.