The easiest way to clarify the meaning of these logical connectives is by using truth tables. The truth table for ^ is¹
The easiest way to clarify the meaning of these logical connectives is by using truth tables. The truth table for ^ is¹
¹Herbert Gintis. Mathematical Literacy for Humanists. Printed in the United States of America, 2010. 5-b.
A
B
A ˄ B
T
T
T
T
F
F
F
T
F
F
F
F
Masalan, a) A: «5 — tub son» — (R); B: «5 >6» — (Y) bo’lsin, u holda A∧B: «5 — tub son va u 6 dan katta» — yolg’on mulohaza bo’ladi.
b) A: «3<8» —(R),B: «8< 11» — (R), A∧B: «3 <8∧8< 11» yoki «3<8< 11», ya’ni tengsizliklar konyunksiyasini qo’sh tengsizlik ko’rinishida yozish mumkin va aksincha; ta’rifga ko’ra «3 <8 < 11» — rost mulohaza.