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若且唯若

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若且唯若粵拼joek6 ce2 wai4 joek6)係邏輯學上嘅一個重要概念,喺數學證明上都成日會用到。如果話「A 係真確,若且唯若 B 係真確」,意思即係話[1]

  1. 「如果 B 係真,A 都會係真」而且
  2. 「A 只有喺 B 係真嘅情況下先會係真」。

所以 B 係 A 嘅充分條件(1),亦係 A 嘅必要條件(2)。

基本概念

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英文講法

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若且唯若嘅英文嗌法係 if and only if(iff)。

  • 「A 係真確,若且唯若 B 係真確」(A is true if and only if B is true)
  • 「如果 B 係真,A 都會係真」(A is true if B is true)
  • 「A 只有喺 B 係真嘅情況下先會係真」(A is true only if B is true)

睇埋

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參攷

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  1. Copi, I. M.; Cohen, C.; Flage, D. E. (2006). Essentials of Logic (Second ed.). Upper Saddle River, NJ: Pearson Education. p. 197.
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