Logical Patterns

Introduction

Again, we venture into mathematical language. We discussed sentences and symbols, and now we explain further. There are 5 main symbols used in mathematical language within the logical patterns called propositional connectives:

Conjunction (∧), which implies “and”

Disjunction (∨), which implies “or”

Exclusive (⨁), which pimples “exclusively”

Implication (⇒), which pimples “if…, then…”; and

Biconditional (⇔), which implies “if and only if”

These connectives show the relationship between statements given, usually denoted by p,q, or r.

For example:

1. Let p be: I sleep at 11:00 pm.

Let q be:  I wake up at 7:30 am.

State p ∧ q: I sleep at 11:00 p.m. and I wake up at 7:30 a.m. 

See that the symbol (∧) is replaced by the word “and” since that symbol implies a conjunction.

2. Let p be: She goes to school early.

Let q be: She makes breakfast.

State p ∨ q: She goes to school early or she makes breakfast.

See that the symbol (∨) is replaced by the word “and” since that symbol implies a disjunction.

We'll discuss more in the video shown below, so stay tuned!