Short Answer 
Mages are versatile magic users skilled in various magical tasks; sorcerers possess innate magical abilities without the need for learning; whereas wizards rely on extensive knowledge and formal studies to master their magic. Each type has distinct characteristics that define their approach to magic.
Step 1: Understand the Role of a Mage
A mage is generally depicted as a versatile magic user in fantasy genres. They possess a diverse array of magical skills that allow them to perform various tasks, such as:
- Casting spells
- Summoning creatures
- Manipulating the elements
Usually, mages pull from a wide range of magical theories and practices, making them adaptively powerful within their narratives.
Step 2: Recognize the Unique Power of a Sorcerer
A sorcerer differentiates itself by deriving magical abilities from an innate source, often genetic. Key characteristics include:
- Born with magic, rather than learning it
- Reliance on personal power rather than spells or rituals
This natural aptitude allows sorcerers to harness strong magic instinctively, enabling remarkable feats without extensive training.
Step 3: Acknowledge the Scholarly Approach of a Wizard
A wizard combines a love for knowledge with magical practices. They often undergo extensive studies to master their craft through:
- Reading books and acquiring formal education
- Learning specific areas of magic
- Using gestures and incantations to cast spells
This academic foundation allows wizards to employ a systematic and often more refined method of magic, setting them apart from mages and sorcerers.