deductive system

[/dɪˈdʌktɪv ˈsɪstəm/]
nounpl: deductive systems
sistema dedutivo
1. A logical system in which conclusions are derived from a set of premises or axioms through the application of inference rules
A deductive system in mathematics starts with axioms and derives theorems through logical proof.
Um sistema dedutivo na matemática começa com axiomas e deriva teoremas através de prova lógica.
2. A formal framework used in logic and mathematics where the truth of conclusions necessarily follows from the truth of premises
The deductive system of propositional logic allows us to prove new statements from given rules.
O sistema dedutivo da lógica proposicional nos permite provar novas afirmações a partir de regras dadas.
3. A method of reasoning from general principles to specific conclusions
Euclidean geometry is built as a deductive system starting from basic definitions and postulates.
A geometria euclidiana é construída como um sistema dedutivo começando a partir de definições e postulados básicos.
This term is predominantly used in academic and technical contexts in both Brazil and the United States, particularly in philosophy, mathematics, computer science, and formal logic courses. It represents a cornerstone concept in Western formal reasoning traditions and is taught as a fundamental approach to establishing mathematical and logical truth.
Synonyms / Sinônimos
formal systemlogical systemaxiomatic systemproof system
Antonyms / Antônimos
inductive systeminductive reasoning

Regional Variations

General Brazilian
sistema dedutivo
Standard academic and technical usage
Portugal
sistema dedutivo
Identical usage in Portuguese academic contexts
USA Academic
deductive system
Primarily used in philosophy, mathematics, and computer science departments

Related Words

axiomtheoreminference rulelogical derivationformal logicpropositional logicfirst-order logic

Related Idioms & Phrases

from general to particular
logical chain of reasoning
proof by deduction
Look up more words on Fala2Me
The free English-Portuguese dictionary with real Brazilian accents, NYC slang, conjugator and more
Open Fala2Me →