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SMK Teknologi dan Rekayasa

Soal 84 Penarikan Kesimpulan


Diketahui\ premis-premis\ berikut\ ini:\\(1)\ \ \ \sim p\to \sim q\\(2)\ \ \ q\\Kesimpulan\ yang\ dapat\ diambil\ adalah\ ....\\a.\ \ p\ \ \ \ \ \ \ \ \ \ \ \ b.\ \ \sim p\ \ \ \ \ \ \ \ \ \ \ \ c.\ \ \sim q\\d.\ \ p\wedge q\ \ \ \ \ \ \ e.\ \ Tidak\ bisa\ ditarik\ kesimpulan\ yang\ sah
Jawaban: a

Perhatikan\ premis\ 2:\ \ \ \ \ \ q\equiv \ \sim (\sim q)
sehingga\ penarikan\ kesimpulannya\ berdasarkan\ Modus\ Tollens:
\frac{\begin{matrix} \sim p\to \ \sim q\qquad \\ \sim (\sim q) \end{matrix}}{}\\\therefore \ \ \sim (\sim p)\equiv p

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