C1 verb Formal

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.

Ejemplos

3 de 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.

Familia de palabras

Sustantivo
axiom
Verb
axiomatize
Adverbio
axiomatically
Adjetivo
axiomatic
Relacionado
axiomatization
💡

Truco para recordar

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

Quiz rápido

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

¡Correcto!

La respuesta correcta es: axiom

Ejemplos

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.

Familia de palabras

Sustantivo
axiom
Verb
axiomatize
Adverbio
axiomatically
Adjetivo
axiomatic
Relacionado
axiomatization

Colocaciones comunes

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.

Frases Comunes

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.

Se confunde a menudo con

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.

📝

Notas de uso

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'.

⚠️

Errores comunes

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.

💡

Truco para recordar

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

📖

Origen de la palabra

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

Patrones gramaticales

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

Contexto cultural

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

Quiz rápido

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

¡Correcto!

La respuesta correcta es: axiom

Palabras relacionadas

proceed

C1

The noun form, typically used in the plural 'proceeds,' refers to the total amount of money received from a particular event, sale, or activity. It is a formal term used in academic, legal, and business contexts to describe the result of a financial transaction or fundraising effort.

individual

C1

Relating to a single person or thing as distinct from a group. It describes something that is intended for, or used by, one person rather than a collective entity.

appropriately

B2

To perform an action in a manner that is suitable, right, or proper for a particular situation, person, or occasion. It implies following specific social norms, professional standards, or logical requirements.

region

B2

A region is an area of land that has common features, such as geography, climate, or culture, which distinguish it from other areas. It can refer to a large part of a country or the world and is often used in administrative or scientific contexts to organize space.

resource

B2

A stock or supply of money, materials, staff, and other assets that can be drawn on by a person or organization in order to function effectively. In academic and informational contexts, it refers to a source of information or expertise used to support research or learning.

to

A1

Used to indicate the place, person, or thing that someone or something moves toward. It can also mark the recipient of an action or the limit of a range.

and

A1

A primary conjunction used to connect words, phrases, or clauses that are grammatically equal. It indicates addition, a sequence of events, or a relationship between two things.

a

A1

A word used before a singular noun that is not specific or is being mentioned for the first time. It is used only before words that begin with a consonant sound to indicate one of something.

that

A1

This word is a demonstrative pronoun used to indicate a specific person, object, or idea that is further away in space or time from the speaker. It is also used to refer back to something that has already been mentioned or to introduce a clause that identifies something.

I

A1

The pronoun 'I' is used by a speaker or writer to refer to themselves as the subject of a verb. It is the first-person singular subject pronoun in English and is always capitalized regardless of its position in a sentence.

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