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Paul does not give us any clue as to what specific myths he was referring, but any fabricated fable, superstitions speculation, or imagination of the heart, is very detrimental to a Christian's spiritual growth, contradictory to biblical truth, and an obstacle to one's hope in the Lord.

Every culture and each generation has its own particular brand of magical folk-lore or frightening tales of the unexpected, which are satanically inspired, and give rise to anxious thoughts and fearful hearts. All are counter to the freedom we have in Christ and inevitably choke one's faith and enslave one's soul.
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All forms of false teaching, whether fanciful myths, endless genealogies, cultish practices, false religions, Gnostic doctrine, or legalistic customs, are antithetical to God's Word of truth because they give rise to ungodly speculations and unbiblical philosophies. They are false teachings which cause untold damage in the spiritual development of believers while hindering the dissemination of the gospel of God, which is by FAITH.

The dangers of which Paul warned Timothy, are equally concerning in our time and our culture. May we take to heart this teaching on the dangers of all forms of apostasy, give heed all his instructions on godly living, look to Scripture as our plumb-line for truth, and translate it into our daily practice, for His name's sake.