logical foundation
[ˈlɒdʒɪkəl faʊnˈdeɪʃən]
nounfemininepl: logical foundations / fundações lógicas
fundação lógica
1. The fundamental basis or underlying principle upon which a logical argument, system, or theory is constructed
The logical foundation of the argument relies on the assumption that all humans are mortal.
A fundação lógica do argumento se baseia na suposição de que todos os seres humanos são mortais.
2. In mathematics and philosophy, the basic axioms or premises from which conclusions are derived
The logical foundations of mathematics include set theory and first-order logic.
As fundações lógicas da matemática incluem teoria dos conjuntos e lógica de primeira ordem.
3. The essential groundwork that establishes validity and coherence in reasoning
Without a solid logical foundation, the entire theory collapses.
Sem uma fundação lógica sólida, toda a teoria desaba.
This term is predominantly used in academic, philosophical, and scientific contexts in both Brazil and the USA. In Brazilian universities, 'fundação lógica' is commonly used in mathematics and philosophy courses. In Portugal, 'fundamento lógico' is more frequently used in formal academic discourse. The concept reflects the importance of rigorous reasoning in Western intellectual traditions.
Related Idioms & Phrases
to lay a logical foundation
to build on solid logical foundations
to question the logical foundations
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