axiom etymology

Etymology:

The word "axiom" is derived from the Greek word "axíōma," which means "that which is thought worthy" or "self-evident truth."

Meaning:

In philosophy and mathematics, an axiom is a proposition that is taken to be true without proof. Axioms are the foundational building blocks of a deductive system, such as a geometric system or a logical system. From axioms, other propositions (theorems) can be derived through logical reasoning.

Origin:

The concept of axioms has been used since ancient times. The Greek philosopher Euclid (c. 300 BC) used axioms to establish the foundations of Euclidean geometry. In modern mathematics, the axiomatic method is used to develop theories in a rigorous and systematic manner.

Key Features of Axioms:

• Self-evident: Axioms are considered to be true without requiring external justification or proof.
• Independent: Axioms are not derived from other propositions within the system.
• Complete: The set of axioms should be sufficient to derive all the theorems of the system.
• Consistent: The axioms should not contradict each other.
• Non-redundant: Each axiom should provide unique information that cannot be derived from the other axioms.

axiom relate terms

• aphorism

  Etymology From Ancient Greek ἀφορισμός aphorismós from ἀφορίζω ap

• horizon

  Etymology Middle English orizont from Old French orizont from Late Latin horizon fr

• axiom

  Etymology The word axiom is derived from the Greek word axíōma which means that

• epigram

  Etymology Derived from the Ancient Greek word ἐπίγραμμα epígramma meaning

• Maxim

  Etymology The name Maxim is derived from the Latin word maximus which means greatest

• saying

  Etymology The word saying derives from the Old English word secgan meaning to speak

• axiomatic

  Etymology Axiomatic Derived from the Greek word axioma meaning that which is self

• axiom

  Etymology The word axiom is derived from the Greek word axíōma which means that

• action

  Etymology Old French action from Latin actio from agere to act Meaning The pro

• active

  Etymology Middle English activ from Latin activus from agere to do act Meani

• actor

  Etymology The word actor is derived from the Latin actor nom actoris which mean

• actual

  Etymology The word etymology comes from the Greek words etymon meaning true meaning

• actuary

  Etymology The term actuary originates from the Latin word actuarius which means sc

• actuate

  Etymology Actuate is derived from the Latin word actuāre meaning to put in motion to

• agile

  Etymology From Latin agilis meaning nimble quick active Related to the verb ag

• agitation

  Etymology Origin Latin agitatio Meaning shaking stirring Meaning Agitation r

• agony

  Etymology Greek ἀγωνία agōnia Meaning Contest struggle painful distr

• ambagious

  Etymology The term ambagious is derived from the Latin word ambages which means a

• ambassador

  Etymology Latin ambactus meaning servant retainer French ambassadeur from ambact

• ambiguous

  Etymology Ambiguous etymology refers to words whose origin and history are uncertain or

• anagogical

  Etymology The word anagogical is derived from the Greek words ana up agōgē

• antagonize

  Etymology From Middle French antagonizer from Late Latin antagonista from Greek antag

• apagoge

  Etymology Ancient Greek ἀπαγωγή apagoge from the verb ἀπάγω apago m

• assay

  Etymology The word assay is derived from the Middle French word assaier meaning to

• Auriga

  Etymology Auriga comes from the Latin word auriga which means charioteer Meaning

• auto da fe

  Etymology The term auto da fe is derived from the Portuguese and Spanish phrase auto

• axiom

  Etymology The word axiom is derived from the Greek word axíōma which means that

• cache

  Etymology The word cache comes from the French word cacher which means to hide

• castigate

  Etymology The word castigate originates from the Latin word castigare which means t

• coagulate

  Etymology Latin coagulare to curdle clot Proto Indo European kwag to shake tr

• cogent

  Etymology Cogent originates from the Latin word cogere meaning to drive together

• cogitation

  Etymology Cogitation n derives from Latin cogitatio meaning a thinking thought r

• counteract

  Etymology The word counteract is derived from the Latin prefix contra meaning again

• demagogue

  Etymology Origin Greek Word demagogos δῆμος dēmos people ἄγω agō

• embassy

  Etymology The word embassy comes from the French word ambassade which in turn deriv

• epact

  Etymology Ancient Greek ἐπακταί epaktai meaning additional days Meaning

• essay

  Etymology and Meaning of Essay The word essay originates from the Old French term es

• exact

  Etymology Exact Old French exact Latin exactus past participle of exigere to driv

• exacta

  Etymology Latin exactus past participle of exigere to demand drive out PIE root

• examine

  Etymology Etymology is the study of the origin and development of words It involves trac

• exigency

  Etymology Latin exigere to drive out compel demand From ex out agere to drive

• exiguous

  Etymology Latin exiguus meaning scanty small meager Meaning Very small li

• fumigation

  Etymology Late Latin fumigātiō from fumus smoke āre ify Meaning The ac

• glucagon

  Etymology Greek glykys sweet agon leader guide Meaning A hormone produc

• hypnagogic

  Etymology Origin of the Word Hypnagogic is derived from the Greek words hypnos

• interact

  Etymology The word interact is derived from the Latin verb interagere meaning to ac

• intransigent

  Etymology Latin intransigens intransigentis In not opposite of trangere to go

• isagoge

  Etymology The word isagoge is derived from the Greek word εισαγωγής eisagō

• litigate

  Etymology Latin litigare to contend in court Indo European root leiǵh

• litigation

  Etymology Litigate comes from the Latin litigare meaning to contend in court to

• mitigate

  Etymology The word mitigate comes from the Latin word mitigare which means to make

• mystagogue

  Etymology The word mystagogue derives from the Greek words mystes μύστης me

• navigate

  Etymology The word navigate originates from the Latin word navigare which means to

• objurgate

  Etymology Late Latin objūrgāre Latin ob against iūrgāre to quarrel scold

• pedagogue

  Etymology Greek paidagōgós paid child agōgós leader Meaning A pe

• plutogogue

  Etymology Greek ploutos wealth gogos leading Meaning A plutogogue is a p

• prodigal

  Etymology The word prodigal is derived from the Latin word prodīgus which means wa

• protagonist

  Etymology The word protagonist is derived from the Greek words protos meaning fir

• purge

  Etymology The word purge comes from the Old French word purgier which in turn deriv

• react

  Etymology The word react has its roots in the Latin prefix re meaning back or a

• redact

  Etymology Late Latin redactus past participle of redigere to bring back restore re

• retroactive

  Retroactive Etymology Retroactive etymology refers to the act of changing or reconstructi

• squat

  Etymology The word squat comes from the Middle Dutch word squatten which means to s

• strategy

  Etymology The word strategy comes from the Greek word strategia which means the a

• synagogue

  Etymology Latin synagōga Greek συναγωγή sunagōgē Meaning A Jewish h

• transact

  Etymology The word transact is derived from the Latin verb transagere which means

• transaction

  Etymology The word transaction comes from the Latin word transactio which means a c

• variegate

  Etymology Late Latin variegātus past participle of variegāre to variegate diversif

• Maxim

  Etymology The name Maxim is derived from the Latin word maximus which means greatest

• principle

  Etymology Old French principe Latin principium Proto Indo European _ prek to ta

• gnome

  Etymology The word gnome derives from the Latin gnomus which was the Roman renderin

• expression

  Etymology The word expression derives from the Latin word expressio which means to

• proposition

  Etymology Latin prōpositio prō forth positio placing situation Meaning

• apothegm

  Etymology Greek apothegma meaning a sharp or pithy saying From apo away from

• saying

  Etymology The word saying derives from the Old English word secgan meaning to speak

• affirmation

  Etymology The word affirmation comes from the Latin word affirmare which means to