Disjunction in Mathematical Logic

Two statements p and q can be combined using a hyphen "or" to form a new statement. This compound statement is called a disjunction. The disjunction of the p and q statements is written "p ν q" and read "p disjungs q" or "p or q".

In everyday life the word "or" means one or both, it can be either but not both.

Formula of Disjunction

p ν q

Information :
p ν q read "p or q"

Example of Disjunction in Math Logic

p : Two lines are parallel
q : Two lines intersect
p ν q: Two lines are parallel or intersect each other

Truths value of Disjunction Table

The value of the truth of the multiple disjunction statements of two statements p and q is determined as follows:

If p is true and q is valuable or p and q are both true then p ν q is true. If not then p ν q is wrong. In other words the disjunction of two statements is false only if the two components are wrong.

Information :
T : True
F : False/Wrong

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