Buddhism differs from the “nothing-morist” (Skt. Nastika, Pali natthika) in affirming a spiritual nature that is not in any wise, but immeasurable, inconnumerable, infinite, and inaccessible to observation; and of which, therefore, empirical science can neither affirm nor deny the reality thereof of him who has ‘Gone to That[Brahman]” (tathatta). It is to the Spirit (Skt. Atman, Pali attan) as distinguished from oneself (namo-rupa)-i.e., whatever is phenomenal and formal (Skt. and Pali nama-rupa, and savinnana-kaya) “name and appearance”, and the “body with its consciousness”.

#1. Vimanavatthu #1252-1253 “My name was Piyasi, I held sway over the Kosalans; I  held the view of a nihilist (natthikaditthi), was of evil habbit and was miserly; I was an  anti-foundationalist/annihilationist  then (ucchedavada)….[#1253] “…a recluse  Kumarakassapa gave me a talk on the Dhamma and drove from me those  (previously held) evil views! (annihilationism/nihilism).”

#2. natthatta'ti (literally “there is not/no[nattha]+atta’[Soul]” has only 5 occurrences (all at SN 4.400) anywhere in Sutta/Atthakatha (even the worthless Abhidhamma). Anatta’ is  not “no-Soul”, but natthatta’ which is deemed, by Gotama, to be Ucchedavada annihilationistic heresy.
     Sutta states explicitly that natthatta’ (no-Soul) = natthika (nihilism) = ucchedavada
(Annihilationism). If you do hold the view that there is "no-Soul", you are a Natthika (nihilist); i.e. a Ucchedavadin.

#3. Petekopadesapali 40 Ucchedavada=Natthika

#4. SN 1.96 Bhikkhu Bodhi’s translation “The nihilist…goes to terrible hell…from darkness to darkness”. What Bhikkhu Bodhi failed to realize is that SN 4.400 Natthatta (no-Soul) is = Ucchedavada (Annihilationism) which is = natthika as per (petekopadesapali 40, etc.). If Bhikkhu Bodhi knew that these three were synonymous with each other, he would certainly reconsider his translation of natthika as “nihilist”.

#5 To hold the view that there is “no-Soul” (natthatta) is = to ucchedavada (SN 4.400) [Annihilationism] = natthika (nihilist).

#6. [SN 2.17] ‘Nonbeing (asat, natthiti [views of either sabbamnatthi ‘the all is ultimately not’ (atomism), and sabbam puthuttan ‘the all is merely composite (atoms)’ [SN 2.77] both are heresies of annihilationism])’”.