aksjomat

Polish edit

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aksjomat

Alternative forms edit

aksjoma (obsolete, 16th-20th c.)

Etymology edit

Learned borrowing from Latin axiōma, axiōmatis, from Ancient Greek ἀξίωμα (axíōma). First attested in 1583, but in common usage only as of the year 1638 in its current form.^[1]^[2]

Pronunciation edit

IPA^(key): /akˈsjɔ.mat/
Audio (file)
Rhymes: -ɔmat
Syllabification: ak‧sjo‧mat

Noun edit

aksjomat m inan

(mathematics, philosophy, logic) axiom (fundamental assumption that serves as a basis for deduction of theorems) [from 16th c.]^[1]
(literary) axiom (assumed truth) [from 17th c.]^[2]
Synonyms: pewnik, postulat

Declension edit

Declension of aksjomat

	singular	plural
nominative	aksjomat	aksjomaty
genitive	aksjomatu	aksjomatów
dative	aksjomatowi	aksjomatom
accusative	aksjomat	aksjomaty
instrumental	aksjomatem	aksjomatami
locative	aksjomacie	aksjomatach
vocative	aksjomacie	aksjomaty

Derived terms edit

nouns

Related terms edit

adjective

aksjomatyczny

adverb

aksjomatycznie

Collocations edit

Collocations

na mocy/na gruncie aksjomatu ― under an axiom
na podstawie aksjomatów ― based on an axiom
za pomocą/przy pomocy aksjomatów ― with the help of an axiom
równoważny aksjomatowi ― equivalent to an axiom
zanegowany aksjomat ― a negated axiom
przyjęty aksjomat ― an accepted axiom
pierwszy aksjomat ― the first axiom
drugi aksjomat ― the second axiom
trzeci aksjomat ― the third axiom
czwarty aksjomat ― the fourth axiom
piąty aksjomat ― the fifth axiom
fałszywy aksjomat ― a fale axiom
podstawowy aksjomat ― a basic axiom
standardowy aksjomat ― a standard axiom
abstrakcyjny aksjomat ― an abstract axiom
błędny aksjomat ― a wrong axiom
następujący aksjomat ― the following axiom
swoisty aksjomat ― a specific/peculiar axiom
ów aksjomat ― this axiom
powyższy aksjomat ― the above axiom
odpowiedni aksjomat ― the proper axiom
dodatkowy aksjomat ― an additional axiom
oczywisty aksjomat ― an obvious axiom
dotychczasowe aksjomaty ― hitherto/existing axioms
określony aksjomat ― a specified axiom
główny aksjomat ― the main axiom
prosty aksjomat ― a simple axiom
wyssany z palca aksjomat ― a fanciful/bogus/made up axiom
aksjomat matematyczny ― a mathematical axiom
aksjomat logiczny ― a logical axiom
aksjomat filozoficzny ― a philisophical axiom
aksjomat chrześcijański ― a Christian axiom
aksjomat sprzeczny ― a contradictory/conflicting/incompatible axiom
zbiór/zestaw aksjomatów ― a set of axioms
prawdziwość aksjomatów ― the truth of an axiom
schemat aksjomatów ― a schema of axioms
system/układ aksjomatów ― a system of axioms
sformułowanie aksjomatu ― the formulation of an axiom
ranga aksjomatów ― the rank of an axiom
liczba aksjomatów ― the number of axioms
ilość aksjomatów (proscribed) ― the amount of axioms
pochodzenie aksjomatów ― the origin of an axiom
odrzucenie aksjomatów ― the rejection of an axiom
konsekwencja aksjomatów ― the consequence of an axiom
lista aksjomatów ― a list of axioms
aksjomat Euklidesa ― a Euclidean axiom
aksjomat Archimedesa ― Archimedes' axiom
aksjomaty Kołmogorowa ― Kolmogorov's axioms
aksjomaty Hilberta ― Hilbert's axioms
aksjomat Martina ― Martin’s axiom
aksjomat Pascha ― Pasch's axiom
aksjomat ekstensjonalności ― an axiom of existentiality
aksjomat symplifikacji ― an axiom of simplificaiton
aksjomat oddzielania ― an axiom of separation
aksjomat wyboru ― an axiom of choice
aksjomat geometrii ― an axiom of geometry
aksjomat równoległości ― an axiom of parallelism
aksjomat regularności ― an axiom of regularity
aksjomat zastępowania ― an axiom of replacement
aksjomat determinacji ― an axiom of determination
aksjomat ciągłości ― an axiom of continutity
aksjomat arytmetyki ― an axiom of arithmetic
aksjomat indukcji ― an axiom of induction
aksjomat nieskończoności ― an axiom of infinity
aksjomat zbioru ― an axiom of a set
aksjomat podzbioru ― an axiom of a subset
aksjomat teorii ― an axiom of a theory
aksjomat matematyki ― an axiom of mathematics
aksjomat sumy ― an axiom of a sum
aksjomat twierdzenia ― an axiom of a theorum/claim
aksjomat logiki ― an axiom of logic
aksjomat ciała ― an axiom of a (mathematical) field
aksjomat rachunku ― an axiom of a calculation
aksjomat istnienia ― an axiom of existence
aksjomat systemu ― an axiom of a system
aksjomat reguły ― an axiom of a rule
aksjomat liczb ― an axiom of numbers
aksjomat przestrzeni ― an axiom of space
aksjomat grupy ― an axiom of a group
aksjomat prawa ― an axiom of a law
spełniać aksjomat ― to satisfy an axiom
udowadniać aksjomat ― to prove an axiom
przyjmować/przyjąć aksjomat ― to accept an axiom
używać/użyć aksjomat ― to apply an axiom
tworzyć aksjomat ― to construct an axiom
zakładać/założyć aksjomat ― to assume an axiom
zawierać aksjomat ― to contain an axiom
zmienić aksjomat ― to change an axiom
dodać aksjomat ― to add an axiom
wprowadzać aksjomat ― to establish an axiom
definiować aksjomat ― to define an axiom
określać/określić aksjomat ― to determine an axiom
rozumieć aksjomat ― to understand an axiom
wynikać z aksjomatu ― to result from an axiom

References edit

↑ ^1.0 ^1.1 Maria Renata Mayenowa, Stanisław Rospond, Witold Taszycki, Stefan Hrabec, Władysław Kuraszkiewicz (2010-2023) “aksjoma”, in Słownik Polszczyzny XVI Wieku [A Dictionary of 16th Century Polish]
↑ ^2.0 ^2.1 Teresa Sokołowska (09.03.2020) “AKSJOMAT”, in Elektroniczny Słownik Języka Polskiego XVII i XVIII Wieku [Electronic Dictionary of the Polish Language of the XVII and XVIII Century]