Logika Matematika

LOGIKA MATEMATIKA Oleh : Drs. Toto' Bara Setiawan, M.Si

Selamat datang di CD berprograma LOGIKA MATEMATIKA Selamat datang di CD berprograma Menu Utama Info Dosen Diskripsi Mata Kuliah Kompetensi Dasar Materi Latihan Soal 2

Menu Utama LOGIKA MATEMATIKA Info Dosen Diskripsi Mata Kuliah Kompetensi Dasar Materi Latihan Soal Selamat datang di CD berprograma Menu Utama Info Dosen Diskripsi Mata Kuliah Kompetensi Dasar Materi Latihan Soal 3

Info Dosen Nama : Drs. Toto’ Bara Setiawan, M.Si NIP : 131 624 470 Alamat : Jl. Karang Setra 24 Jember Telp on : (0331) 321987 HP. : 081336795159 Program : Pendidikan Matematika Jurusan : Pendidikan MIPA Fakultas : Keguruan dan Ilmu Pendidikan Universitas : Universitas Jember Selamat datang di CD berprograma Menu Utama Info Dosen Diskripsi Mata Kuliah Kompetensi Dasar Materi Latihan Soal 4

Diskripsi Mata Kuliah LOGIKA MATEMATIKA (KPM 1 127 / 2 sks / semester I ) Ruang lingkup materi mata kuliah ini meliputi : Proposisi dan negasinya, nilai kebenaran dari proposisi, tautologi, ekuivalen , kontradiksi, kuantor, dan validitas pembuktian Selamat datang di CD berprograma Menu Utama Info Dosen Diskripsi Mata Kuliah Kompetensi Dasar Materi Latihan Soal 5

Kompetensi Dasar Pada akhir semester, setelah mempelajari Mata Kuliah Logika Matematika , mahasiswa diharapkan dapat memahami cara pengambilan keputusan berdasarkan logika matematika Selamat datang di CD berprograma Menu Utama Info Dosen Diskripsi Mata Kuliah Kompetensi Dasar Materi Latihan Soal 6

Materi BAB II PERNYATAAN BAB III KATA HUBUNG KALIMAT BAB IV TAUTOLOGI EKUIVALEN KONTRADIKSI BAB I PENGANTAR LOGIKA BAB V KUANTOR BAB VI VALIDITAS PEMBUKTIAN Selamat datang di CD berprograma Menu Utama Info Dosen Diskripsi Mata Kuliah Kompetensi Dasar Materi Latihan Soal 7

BAB I PENGANTAR LOGIKA ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],8

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],9

BAB II PERNYATAAN ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],10

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],11 Kalimat Kalimat berarti Kalimat tak berarti Kalimat Deklaratif Bukan Kalimat Deklaratif bernilai benar bernilai salah

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],12

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],13

BAB III KATA HUBUNG KALIMAT ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],14

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],15 S B ~ p B S p

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],16 B S S S p ∧ q B S B S q B B S S p

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],17 B B B S B S B S B B S S p ∨ q q p S B B S B S B S B B S S p ∨ q q p

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],18

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],19 B S B B B S B S B B S S p ⇒q q p Berdasarkan definisi diatas dapat disusun tabel kebenaran untuk implikasi seperti disamping.

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],p⇒q Konvers q⇒p ~ p⇒ ~ q Konvers ~ q⇒p Invers Invers Kontraposisi Kontraposisi 20

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],21 B S S B B S B S B B S S p ⇔q q p Berdasarkan definisi diatas dapat disusun tabel kebenaran untuk bimplikasi seperti disamping.

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],22

BAB IV TAUTOLOGI, EKIVALEN DAN KONTRADIKSI ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],23

[object Object],[object Object],[object Object],[object Object],[object Object],24

BAB V KUANTOR ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],25

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],26

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],27

BAB VI VALIDITAS PEMBUKTIAN ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],28

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],29

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],30

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],31

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],32

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],33

Latihan Soal BAB II PERNYATAAN BAB III KATA HUBUNG KALIMAT BAB IV TAUTOLOGI EKUIVALEN KONTRADIKSI BAB I PENGANTAR LOGIKA BAB V KUANTOR BAB VI VALIDITAS PEMBUKTIAN Selamat datang di CD berprograma Menu Utama Info Dosen Diskripsi Mata Kuliah Kompetensi Dasar Materi Latihan Soal 34

SOAL BAB I ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],35

SOAL BAB II ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],36

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],37

SOAL BAB III ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],38

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],39

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],40

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],41

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],42

SOAL BAB IV ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],43

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],44

SOAL BAB V ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],45

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],46

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],47

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