here are some quotes about annihilationism (ucchedavāda) from Pāli Canon...
Sutta-piṭaka:
- Annihilationism
There are, monks, some ascetics and Brahmins who are Annihilationists, who proclaim the annihilation, destruction and non-existence of beings, and they do so in seven ways. On what basis?
Here a certain ascetic or Brahmin declares and holds the view: "Since this self is material, composed of the four great elements, the product of mother and father, at the breaking-up of the body it is annihilated and perishes, and does not exist after death. This is the way in which this self is annihilated." That is how some proclaim the annihilation, destruction and non-existence of beings.
Another says to him: "Sir, there is such a self as you say. I don't deny it. But that self is not wholly annihilated. For there is another self, divine, material, belonging to the sense-sphere, fed on real food. You don't know it or see it, but I do. It is this self that at the breaking-up of the body perishes..."
Another says to him: "Sir, there is such a self as you say. I don't deny it. But that self is not wholly annihilated. For there is another self, divine, material, mindmade, complete with all its parts, not defective in any sense organ ... It is this self that at the breaking-up of the body perishes..."
Another says to him: "Sir, there is such a self as you say...There is another self which, by passing entirely beyond bodily sensations, by the disappearance of all sense of resistance and by non-attraction to the perception of diversity, seeing that space is infinite, has realised the Sphere of Infinite Space. It is this self that at the breakingup of the body perishes..."
Another says to him: "There is another self which, by passing entirely beyond the Sphere of Infinite Space, seeing that consciousness is infinite, has realised the Sphere of Infinite Consciousness. It is this self that at the breaking-up of the body perishes..."
Another says to him: "There is another self which, by passing entirely beyond the Sphere of Infinite Consciousness, seeing that there is no thing, has realised the Sphere of No-Thingness. It is this self that at the breaking-up of the body perishes..."
Another says to him: "Sir, there is such a self as you say. I don't deny it. But that self is not wholly annihilated. For there is another self which, by passing entirely beyond the Sphere of No-Thingness and seeing: 'This is peaceful, this is sublime', has realised the Sphere of Neither-Perception-Nor-Non-Perception. You don't know it or see it, but I do. It is this self that at the breaking-up of the body is annihilated and perishes, and does not exist after death. This is the way in which the self is completely annihilated." That is how some proclaim the annihilation, destruction and nonexistence of beings. — Brahmajāla-sutta, DN 1 <DN i 34>; cf. Khuddakavatthu-vibhaṅga <Vibh 383> (Maurice Walshe transl.)
"And when the devas, together with Indra, the Brahmas, & Pajapati, search for the monk whose mind is thus released, they cannot find that 'The consciousness of the one truly gone (tathagata) is dependent on this.' Why is that? The one truly gone is untraceable even in the here & now.
"Speaking in this way, teaching in this way, I have been erroneously, vainly, falsely, unfactually misrepresented by some brahmans and contemplatives [who say], 'Gotama the contemplative is one who misleads. He declares the annihilation, destruction, extermination of the existing being.' But as I am not that, as I do not say that, so I have been erroneously, vainly, falsely, unfactually misrepresented by those venerable brahmans and contemplatives [who say], 'Gotama the contemplative is one who misleads. He declares the annihilation, destruction, extermination of the existing being.' — Alagaddūpama-sutta, MN 22 <MN i 140> (Ṭhānissaro Bhikkhu transl.)
"Or he may have a view such as this: 'I would not be, neither would there be what is mine. I will not be, neither will there be what is mine.' This annihilationist view is a fabrication.
"What is the cause, what is the origination, what is the birth, what is the coming-into-existence of that fabrication? To an uninstructed, run-of-the-mill person, touched by what is felt born of contact with ignorance, craving arises. That fabrication is born of that. And that fabrication is inconstant, fabricated, dependently co-arisen. That craving... That feeling... That contact... That ignorance is inconstant, fabricated, dependently co-arisen. It is by knowing & seeing in this way that one without delay puts an end to the effluents." — Pālileyya-sutta, SN 22.81 <SN iii 98> (Ṭhānissaro Bhikkhu transl.)
"'The one who acts is the one who experiences [the result of the act]' amounts to the eternalist statement, 'Existing from the very beginning, stress is self-made.' 'The one who acts is someone other than the one who experiences' amounts to the annihilationist statement, 'For one existing harassed by feeling, stress is other-made.' Avoiding these two extremes, the Tathāgata teaches the Dhamma via the middle..." — Acelakassapa-sutta, SN 12.17 <SN ii 20> (Ṭhānissaro Bhikkhu transl.)
- Eternalist-view and annihilationist-view
Therein what is eternalist-view? "Self and world are eternal" — this form of view, thicket of view, a wilderness of view, a contortion of view, a writhing of view, a fetter of view, seizure, holding on, inclination, hanging on, false path, wrong way, wrongness, sectarian guild, inverted seizure — this is called "eternalist-view".
Therein what is annihilationist-view? "Self and world will be annihilated" — this form of view, thicket of view, a wilderness of view, a contortion of view, a writhing of view, a fetter of view, seizure, holding on, inclination, hanging on, false path, wrong way, wrongness, sectarian guild, inverted seizure — this is called "annihilationist-view". — Khuddakavatthu-vibhaṅga <Vibh 358>
Three cravings
Therein what are three cravings? Craving for sensuality, craving for becoming, craving for non-becming.
Therein what is craving for becoming? Becoming-view accompanied by passion, affection, & affection of mind — this is called "craving for becoming".
Therein what is craving for non-becoming? Annihilationist-view accompanied by passion, affection, & affection of mind — this is called "craving for non-becming".
Therein what is craving for sensuality? Sensuality-property connected with passion, affection, & affection of mind — this is called "craving for sensuality".
[Therein what is craving for becoming?] Form-property and formless-property connected with passion, affection, & affection of mind — this is called "craving for becoming".
[Therein what is craving for non-becoming?] Annihilationist-view accompanied by passion, affection, & affection of mind — this is called "craving for non-becoming". This are three cravings. — Khuddakavatthu-vibhaṅga <Vibh 365>
Another three cravings
Therein what are another three cravings? Craving for form, craving for formless, craving for cessation.
Therein what is craving for form? Form-property connected with passion, affection, & affection of mind — this is called "craving for form".
Therein what is craving for formless? Formless-property connected with passion, affection, & affection of mind — this is called "craving for formless".
Therein what is craving for cessation? Annihilationist-view accompanied by passion, affection, & affection of mind — this is called "craving for cessation". — Khuddakavatthu-vibhaṅga <Vibh 366>