C1 verb Formell

axiom

/ˈæksiəm/

An axiom is a statement or proposition that is regarded as being established, accepted, or self-evidently true. In logic and mathematics, it serves as the starting point or foundation for further reasoning and arguments without requiring proof itself.

Beispiele

3 von 5
1

It is a common axiom that you get what you pay for.

It is a widely accepted truth that the quality of a product corresponds to its price.

2

The legal system is built upon the axiom that a person is innocent until proven guilty.

The judiciary operates on the fundamental principle that guilt must be demonstrated, not assumed.

3

You know the old axiom: if it ain't broke, don't fix it.

You are familiar with the common saying that one shouldn't change something that is working well.

Wortfamilie

Nomen
axiom
Verb
axiomatize
Adverb
axiomatically
Adjektiv
axiomatic
Verwandt
axiomatization
💡

Merkhilfe

Think of an 'Ax' - an axiom is a sharp, solid truth that cuts through the need for further proof.

Schnelles Quiz

The entire philosophical system was built upon a single _____: that the mind is separate from the body.

Richtig!

Die richtige Antwort ist: axiom

Beispiele

1

It is a common axiom that you get what you pay for.

everyday

It is a widely accepted truth that the quality of a product corresponds to its price.

2

The legal system is built upon the axiom that a person is innocent until proven guilty.

formal

The judiciary operates on the fundamental principle that guilt must be demonstrated, not assumed.

3

You know the old axiom: if it ain't broke, don't fix it.

informal

You are familiar with the common saying that one shouldn't change something that is working well.

4

Euclidean geometry starts from a set of five fundamental axioms.

academic

The study of Greek geometry begins with five basic propositions that are assumed to be true.

5

The company's marketing strategy relies on the axiom that the customer's needs always come first.

business

The business plan is based on the core belief that prioritizing the client is essential for success.

Wortfamilie

Nomen
axiom
Verb
axiomatize
Adverb
axiomatically
Adjektiv
axiomatic
Verwandt
axiomatization

Häufige Kollokationen

mathematical axiom A self-evident rule used in mathematical logic.
fundamental axiom A core, underlying principle of a system.
self-evident axiom A truth that is obvious and does not require explanation.
accept an axiom To agree that a specific statement is true without proof.
underlying axiom The basic assumption that supports an entire theory.

Häufige Phrasen

take as an axiom

To assume something is true from the very beginning of a discussion.

central axiom

The most important principle in a particular philosophy or system.

accepted axiom

A principle that is universally agreed upon by experts in a field.

Wird oft verwechselt mit

axiom vs theorem

An axiom is assumed to be true without proof, while a theorem must be proven using axioms.

axiom vs adage

An adage is a traditional folk saying, whereas an axiom is a more formal, logical, or scientific principle.

📝

Nutzungshinweise

Axiom is typically used in formal, academic, or philosophical contexts. It implies a higher degree of certainty and logical structure than words like 'saying' or 'opinion'.

⚠️

Häufige Fehler

Learners often use 'axiom' when they mean 'hypothesis'; however, a hypothesis is something to be tested, while an axiom is something already accepted as true.

💡

Merkhilfe

Think of an 'Ax' - an axiom is a sharp, solid truth that cuts through the need for further proof.

📖

Wortherkunft

From the Greek word 'axioma', meaning 'that which is thought worthy' or 'a self-evident principle'.

Grammatikmuster

Countable noun Plural form: axioms (standard) or axiomata (rare/archaic) Often followed by a 'that' clause (e.g., the axiom that...)
🌍

Kultureller Kontext

In Western philosophy, the search for 'first axioms' has been a central goal since the time of Aristotle and Euclid.

Schnelles Quiz

The entire philosophical system was built upon a single _____: that the mind is separate from the body.

Richtig!

Die richtige Antwort ist: axiom

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