According to Freud, riding a bicycle is a symbol of sexual intercourse. Both bicycles and motorbikes symbolize the need for balance in life and the need to reconcile the often opposing demands of the conscious and unconscious. The speed of the bike will be significant, as it suggests how strong your desire for independence is. For Jungians, dreaming of a motorcycle suggests determination and a person in control of their destiny. A dream of riding a bicycle may therefore mirror your sense of powering your own progress in the world.
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