axiom
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.
Exemplos
3 de 5It 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.
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.
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.
Família de palavras
Dica de memorização
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.
Correto!
A resposta correta é: axiom
Exemplos
It is a common axiom that you get what you pay for.
everydayIt is a widely accepted truth that the quality of a product corresponds to its price.
The legal system is built upon the axiom that a person is innocent until proven guilty.
formalThe judiciary operates on the fundamental principle that guilt must be demonstrated, not assumed.
You know the old axiom: if it ain't broke, don't fix it.
informalYou are familiar with the common saying that one shouldn't change something that is working well.
Euclidean geometry starts from a set of five fundamental axioms.
academicThe study of Greek geometry begins with five basic propositions that are assumed to be true.
The company's marketing strategy relies on the axiom that the customer's needs always come first.
businessThe business plan is based on the core belief that prioritizing the client is essential for success.
Família de palavras
Colocações comuns
Frases Comuns
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.
Frequentemente confundido com
An axiom is assumed to be true without proof, while a theorem must be proven using axioms.
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'.
Erros comuns
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.
Dica de memorização
Think of an 'Ax' - an axiom is a sharp, solid truth that cuts through the need for further proof.
Origem da palavra
From the Greek word 'axioma', meaning 'that which is thought worthy' or 'a self-evident principle'.
Padrões gramaticais
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.
Correto!
A resposta correta é: axiom
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consistency
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