Mysticism focuses

Mysticism focuses on methods other than logic, but (in the case of esoteric mysticism) not necessarily excluding it, for gaining enlightenment. Rather, meditative and contemplative practices such as Vipassanā and yoga, physical disciplines such as stringent fasting and whirling (in the case of the Sufi dervishes), or the use of psychoactive drugs such as LSD, lead to altered states of consciousness that logic can never hope to grasp. However, regarding the latter topic, mysticism prevalent in the 'great' religions (monotheisms, henotheisms, which are perhaps relatively recent, and which the word 'mysticism' is more recent than,) includes systems of discipline that forbid drugs that can damage the body, including the nervous system.
Mysticism (to initiate) is the pursuit of communion with, or conscious awareness of ultimate reality, the divine, spiritual truth, or Deity through direct, personal experience (intuition or insight) rather than rational thought. Mystics speak of the existence of realities behind external perception or intellectual apprehension that are central to being and directly accessible through personal experience. They say that such experience is a genuine and important source of knowledge.
Esotericism is often spiritual (thus religious) but can be non-religious/-spiritual, and it uses intellectual understanding and reasoning, intuition and inspiration (higher noetic and spiritual reasoning,) but not necessarily faith (except often as a virtue,) and it is philosophical in its emphasis on techniques of psycho-spiritual transformation (esoteric cosmology). Esotericism refers to "hidden" knowledge available only to the advanced, privileged, or initiated, as opposed to exoteric knowledge, which is public. All religions are probably somewhat exoteric, but most ones of ancient civilizations such as Yoga of India, and the mystery religions of ancient Egypt, Israel (Kabbalah,) and Greece are examples of ones that are also esoteric.