- 1公理（數學、邏輯裡不必再證明的出發點；日常也可指當成理所當然的原則）
An axiom is a starting rule that people treat as true, so they do not keep proving it every time. In maths and logic, axioms are the first stones: you agree they hold, then you build the rest on top of them. A geometry book may call something like “through two points there is one straight line” an axiom. In everyday talk, people also use axiom for a principle a group takes as given — “It’s an axiom of this kitchen that you clean as you go” — though actually that everyday use is looser. It means “we do not argue this any more,” not “this was laid down as a formal first truth.” The word feels educated and a little formal. You will meet it in school maths, in philosophy, and in writing that wants to sound sure. It is not a for opinion. An opinion is what you think; an axiom is what a system, or a group, refuses to keep arguing about.
組成From French axiome, from Latin axiōma, from Greek axiōma: “that which is thought fit,” a principle a pupil is expected to know already. That comes from a verb meaning “to think worthy,” and from áxios, “worthy,” literally “weighing as much as,” from a verb “to weigh.”
同家族的字
- axiomaticthe adjective: true in the way an axiom is true, so you do not need to prove it
原始詞典資料3 筆記錄
以下是外部詞典記錄的用法，摘錄並精簡格式，我們還沒有寫成教學內容。上面的說明才是我們自己寫的；有些用法可能上面已經講過了。
axiomnoun/ˈak.sɪ.əm/
- 1
human-sciencesphilosophysciencesA seemingly self-evident or necessary truth which is based on assumption; a principle or proposition which cannot actually be proved or disproved.
- Near-synonyms: given, facticity
- Neither can I reconcile this opinion of yours, with your argument brought from reaſon; if the axiom there laid down by you be true, it follows that, when matter began to exiſt in the divine mind, either matter became of the nature of the divine mind, i.e. active and intelligent, or elſe the divine mind became of the nature of matter, i.e. inert and unintelligent: this is a hard dilemma; have we not reaſon to ſuſpect that axiom?
- 2
human-scienceslogicmathematicsA fundamental assumption that serves as a basis for deduction of theorems; a postulate (sometimes distinguished from postulates as being universally applicable, whereas postulates are particular to a certain science or context).
- Holonym: formal system
- Near-synonyms: given, facticity
- 3
An established principle in some artistic practice or science that is universally received.
- The axioms of political economy cannot be considered absolute truths.
- But these innovating Medicaſters have introduced a Practice not only very precarious, but in many Reſpects extremely dangerous, and quite devoid of any one of the Qualities which conſtitute a good Remedy, viz. to cure the Patient, as the Axiom has it, cito, tuto, & jucunde, i.e. ſpeedily, ſafely, and pleaſantly.
摘錄自 英文維基詞典 English Wiktionary，已精簡格式；依 CC BY-SA 4.0 授權使用，改動後的內容同樣以此授權提供。