Does the Nihilism view (natthika-dithi) actually deny rebirths?

Is the Nihilism view (*natthika-dithi*) actually denying rebirths? In Fuller's [The Notion of Diṭṭhi in Theravāda Buddhism: The Point of View](http://www.ahandfulofleaves.org/documents/The%20Notion%20of%20Ditthi%20in%20Theravada%20Buddhism_Fuller.pdf) , in the translation of the Sāmaññaphala-sutta, _natthika-ditthi_ is formulated like this: > Nothing is given, nothing offered, nothing sacrificed; there is no > fruit or result of good and bad actions; no this world, no other > world; no mother, no father; no beings who are reborn spontaneously; > no good and virtuous recluses and brahmins in the world who have > themselves realised by direct knowledge and declare this world and the > other world. > > The person is composed of the four great elements; when > he dies, earth returns and goes back to the element of earth, water > returns and goes back to the element of water, fire returns and goes > back to the element of fire, wind returns and goes back to the element > of wind, while the senses disappear into space. [Four] men with the > bier as a fifth take up the corpse, the funeral orations last as far > as the burning ground, his bones are a dull white, his offerings end > in ashes. They are fools who teach alms-giving. The doctrine of > affirmation (atthika-vāda) is empty and false banter. Fools and wise > alike are destroyed and perish at the breaking up of the body, they do > not exist after death. The following statements are related to 'rebirth': 1. Denying the "fruit or result of good and bad actions" -- which, except this-life fruit or results, are rebirth-related. 2. Denying "the other world" -- if it's not rebirth-related then it would be interesting to understand what "other world" is actually supposed to mean. 3. Saying "they do not exist after death" -- description of death as complete destruction (without rebirth).