biconditionals
[baɪ-kənˈdɪʃ-ə-nəlz]
nounpl: biconditionals
bicondicionais
1. A logical statement that is true when both parts have the same truth value (both true or both false), expressed as 'if and only if' (iff)
In logic, 'A biconditional B' is true when A and B are either both true or both false.
Na lógica, 'A bicondicional B' é verdadeira quando A e B são ambos verdadeiros ou ambos falsos.
2. A logical connective represented by the symbol ↔ or ≡, establishing a bidirectional conditional relationship
The biconditional statement 'x = 2 if and only if x² = 4' requires both directions to be true.
A declaração bicondicional 'x = 2 se e somente se x² = 4' requer que ambas as direções sejam verdadeiras.
Biconditionals are fundamental concepts in formal logic, mathematics, and computer science education in both Brazilian and American universities. The term is technical and primarily used in academic contexts. In Portuguese-speaking countries, 'bicondicionais' is the standard terminology in logic courses and mathematical texts.
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