We have two minds and they are commonly described as the conscious and subconscious mind.
Let us take a look what other names are ascribed to them:
Conscious vs Subconscious
Objective vs Subjective
Rational vs Irrational
Voluntary vs Involuntary
Present vs Past
Surface vs Deeper
Active vs Reactive
Controlled vs uncontrolled
Reasoning vs Non-reasoning
Personal vs Impersonal