Hanif Mandiratmaja

In: English and Literature

Submitted By hanif12
Words 662
Pages 3
Logika Proposisi
Pertemuan 2
(Chapter 10 – Schaum, Set Theory)
(Chapter 3/4 – Schaum, Theory Logic)

Logika Proposisional
• Tujuan pembicaraan kali ini adalah untuk menampilkan suatu bahasa daripada kalimat abstrak yang disebut dengan logika proposisional • Dikenalkan teknik untuk menentukan apakah suatu kalimat abstrak yang di berikan itu valid atau contradictory dan apakah dua kalimat abstrak yg diberikan itu ekuivalen.

Logika Proposisional
• Menentukan kebenaran dan kesalahan daripada banyak kalimat konkrit hanya dengan melihat bentuk mereka.

Logika Proposisional
• Simbol-simbol dasar dan menunjukkan bagaimana mereka dikombinasikan untuk membentuk kalimat (abstrak) daripada logika proposisional. • Aturan sintaksis yang menjelaskan kombinasi apa daripada simbol-simbol yang diambil menjadi kalimat dalam bahasa tersebut.

Proposisi




Proposisi : suatu pernyataan yang mempunyai satu nilai benar atau salah (well-form format).
Simbol-simbol dibawah ini, yang disebut proposisi digunakan utk membangun suatu kalimat. Mereka adalah:
Simbol kebenaran : true dan false ( benar dan salah). Untuk menyingkat digunakan T = true atau B = benar , F = false atau S = salah.

Proposisi
• Simbol proposisional : p, q, r, p1, p2, ……… ( huruf kecil p, q, r, dan dari mereka dengan diberi indeks/ditambah dengan angka bilangan alam) Catatan : Ada beberapa buku yang menggunakan huruf besar P, Q, R, dan mereka diberi dengan indeks. Kalimat
• Kalimat dalam logika proposisional dibangun dari proposisi-proposisi dengan mengaplikasikan penghubung proposisional seperti : not, and, or, if-then, if-and-only-if
Kalimat dibentuk menurut aturan sbb :
• Setiap proposisi, yaitu suatu simbol kebenaran atau simbol proposisional, adalah suatu kalimat.
• Jika P suatu kalimat, maka begitu juga negasinya, yaitu (not P)
•…...

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