axiom
30
7.5
- noun
- /ˈæk.si.əm/
:
axioma
- In mathematics, an axiom serves as a fundamental starting point for developing theories.
- derivation from the axiom
- almost an axiom
So either they are self-evident, almost an axiom, or you need a proof.
- So either they are self-evident, almost an axiom, or you need a proof.
- So Cantor's well ordering theorem and Zermelo's axiom of choice are equivalent.
- What are your axioms on how the world ought to be?
- And you're talking about the axiom systems with open sets.
- They take out one axiom but have to replace it with others.
- If you have a set of inconsistent axioms, there are many ways to fix that.
- He moves on from there to the second axiom.
- Well, you need to go to the axioms.
- Now every physics theory has an unprovable assumption and it's called an axiom.
- But if you would now put Ixc as the starting axioms in it would run Ixc.
Examples
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The following eight axioms may be used as a grounding for scientific practice.
Academic text (1991) -
Science proceeds on essentially one axiom, and that is the universe does not lie.
Blog text (4) -
l would accept that as an axiom.
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And it's kind of an axiom in warfare.
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Apparently his axiom was that the birthday person buys the others drinks.
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And here is where I disagree with the axiom on which these arguments are based.
Blog text (1) -
In this era of fiscal austerity, the old axiom that there is no free lunch must be taken seriously.
Academic text (1994) -
There's a common axiom which every good camper knows.
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Adam Smith is best known for his axiom that individual acts of selfishness aggregate to a general good.
Academic text (2008) -
Euclid based his approach upon 10 axioms, statements that could be accepted as truths.
Blog text (7)
Synonyms
633
3.8
A basic idea or law that explains how something works
365
5.9
An idea accepted as true that supports an argument
23
7.3
An idea that people accept as true without proof
22
2.7
An important rule or idea that forms the base for other knowledge
4
8.1
An idea accepted as true without proof and used to build a theory
4
3.3
A simple idea or belief that people accept without proof and that supports an argument
1
9.3
An idea people accept without proof and use to build an argument
Compounds
- Specialized
1
8.6
One of five basic statements that give the rules of geometry on flat surfaces
- Specialized
A rule that says there is exactly one line through a point that is parallel to a given line
- Specialized
An axiom in Euclidean geometry that all right angles are equal
- Specialized
A rule that you can extend any straight line without end in both directions
- Specialized
In geometry, only one line through a point not on a given line does not meet it
How Accepted
Surface Forms
Etymology
Axiom comes from the Greek word axioma, meaning 'worthy' or 'fit'. That idea helps: an axiom is a simple statement people accept as true and use to start their thinking.