As to this… right view comes first. And how… does right view come first? If one comprehends that wrong purpose is wrong purpose and comprehends that right purpose is right purpose, that is… right view. And what… is wrong purpose? Purpose for sense-pleasures, purpose for ill-will, purpose for harming. This… is wrong purpose. And what… is right purpose? Now I… say that right purpose is twofold. There is… the right purpose that has cankers, is on the side of merit, and ripens unto cleaving (to new birth). There is… the right purpose which is [noble], cankerless, supermundane, a factor of the Way. And what… is the purpose which is on the side of merit, and ripens unto cleaving? Purpose for renunciation, purpose for non-ill-will, purpose for non-harming. This… is right purpose that… ripens unto cleaving. And what… is the right purpose that is [noble], cankerless, supermundane, a component of the Way? Whatever… is reasoning, initial thought, purpose, an activity of speech through the complete focussing and application of the mind in one who, by developing the [noble] Way, is of [noble] thought, of cankerless thought, and is conversant with the [noble] Way–this… is right purpose that is [noble], cankerless, supermundane, a component of the Way.
(MN 117, tr. Pali Text Society vol. III pp 113-121)
“of cankerless thought”–the cankers being the three cravings: “craving for the life of sense”, “craving for becoming”, and “craving for not-becoming” (DN 22; PTS vol. ii p 340). When the cankers are “destroyed”, the roots of the craving for sense-pleasures, the roots of the craving “to continue, to survive, to be ” (tr. “bhava”, Bhikkyu Sujato), and the roots of the craving not “to be ” (the craving for the ignorance of being ) are destroyed.
The cankers are only completely destroyed in the individual who is enlightened, and enlightenment is apparently more a function of having seen past habitations and future arisings than of any practice of concentration (on the concentrations, see MN 70; tr. Pali Text Society vol. 2 pp 151-154).
But perhaps cankerless thought doesn’t require the complete destruction of the cankers–one would hope!
Nevertheless, I think it’s the cessation of action Gautama points toward, although that’s a function of the states of concentration–cessation of action meaning the cessation of habit and volition in action.
The state of concentration most often mentioned in the sermons I think is the fourth, wherein habit and volition in the activity of the body in inhalation and exhalation ceases. That’s also the state in which Gautama turned his mind to past habitations and future arisings. Key to being ceased with regard to the breath is the understanding that the ligaments of the body can regulate the reciprocal activity of proximal agonist/antagonist muscle groups (Indahl, A., et al., “Sacroiliac joint involvement in activation of the porcine spinal and gluteal musculature”, Journal of Spinal Disorders, 1999. 12[4]: p. 325-30). Realizing the stretch of ligaments and the associated reciprocal innervation that follows through “laying hold of one-pointedness” is a way to relinquish “latent conceits that ‘I am the doer, mine is the doer’ in regard to this consciousness-informed body” (from MN 109, Pali Text Society vol. III p 68).
The abandonment of latent conceits with regard to the body is at least a start on cankerless thought, even if Gautama was able to proceed from there to seeing past habitations and future arisings and I don’t believe I ever will.