Final answer:
Freud interpreted myth using psychoanalysis, seeking psychological meanings related to unconscious desires and repressed memories, exemplified by his analysis of the Oedipal complex in 'Totem and Taboo.' Carl Jung, a contemporaneous theorist, focused on myths as expressions of the collective unconscious and universal archetypes.
Step-by-step explanation:
Sigmund Freud interpreted myth through the lens of psychoanalysis, applying his theories of the unconscious mind to the realm of mythology.
Freud's analysis of myth often looked for underlying psychological meanings and conflicts, especially those pertaining to primitive desires and repressed memories.
For instance, in his work 'Totem and Taboo,' he relates the creation of totemic religions to the suppression of deep-seated, socially unacceptable desires, such as those illustrated in the Oedipal complex.
Freud's method of interpretation was distinct from others, as he delved into how mythical narratives could reveal the psychological dynamics and the inner workings of the human mind.
On the other hand, Freud's contemporary, Carl Jung, also looked at myths through a psychological lens, but he focused on the concept of the collective unconscious and archetypes that are shared across cultures.
This is dissimilar to Freud's focus on individual psychological development and the idiosyncratic unconscious. Jung's views on myth added a deeper layer, suggesting that myths resonate with universal themes and shared human experiences.