On the holy occasion of Ganesh Chaturthi, Bhagawan explains the inner significance of Lord Vinayaka.

Parvati tanaya Ganadhipa! (Oh son of Parvati, the Lord of the Ganas!). In these terms the Vedas extolled Ganapati.  Who are these Ganas? Are they celestial hosts or Asuras (demonic beings)? They are celestial beings. Where are they? Are they wandering in the external world or are they present subtly in human beings? He is called Ganadhipati because he is the Supreme Lord of the Ganas. The Ganas are the embodiments of the Jnanedriyas (organs of perception) and of Karmendriyas (organs of action). The mind is the master of these ten senses. The presiding deity of the mind is called Indra as he is the Lord of the Indriyas (the senses). The master over the mind is the Buddhi (intellect). What does the name 'Ganapati' signify? 'Ga' means Buddhi (or intellect), 'Na' means Vijnana (wisdom). As Vighneshvara is the Lord of the intellect and wisdom, He is called Ganapati. It follows from this that what are called ganas are parts of the human body.