Establishing of Mindfulness (satipaṭṭhāna ) is the methodology specifically developed by the Buddha towards Nibbāna. Taking the very small opening segment – Mindfulness of Breathing, of this discourse, this paper explores its methodology, not however as a spiritual activity but as a scientific method to arrive at knowledge empirically. The opening descriptive, and critical study, is followed by a discussion of a few related theoretical and practical issues. As part of the former is introduced the concept of ‘psycheme’, and regarding the latter, a few thoughts regarding the usefulness of the method for the western scientist– both at the professional and the personal levels, are introduced. The paper proposes that Science and a proposed Buddhianscience engage in a ‘Spiritual Interaction’, by way of bringing together Buddhologists and Scientists in a formal way.