Would you characterize belief in rebirth as a central component of Buddhism?
Are there Buddhists who do not believe in it?
How is this concept understood, i.e., what does rebirth mean (in as much detail as possible) to a Buddhist?
Would you characterize belief in rebirth as a central component of Buddhism?
Are there Buddhists who do not believe in it?
How is this concept understood, i.e., what does rebirth mean (in as much detail as possible) to a Buddhist?
There are two concepts here. We pass away every moment and arise every minutes. Other is rebirth after death. Rebirth is partly a belief but much of the Dhamma should be realised at experiential level. What is much needed is that at the last moment is that you maintain equanimity so you do not take a new birth. The level of stillness can be achived only by a fully accomplished person who has complete mastery over the mind and cognitive process. The aim is to develop this. Generally Buddhist take rebirth at face value but belief in this is not necessary to practice Buddhism as the emphasis is to realise the truth through ones own experience. Your experience re-enforces your belief.
I would not characterize belief in rebirth as central to Buddhism, but I would characterize rebirth as central in Buddhism. This may require some qualifications, and I'll try to be comprehensive answering the specifics along the way:
I think...
The opposite might just as well happen: some buddhists may regard rebirth as true in some misguided way; eg. talking about it, assertively even, without really understanding it.
The Buddha insisted on avoiding speculative views and looking for a much deeper kind of knowledge than mere belief or reasoning detached from reality. I think whatever one's provisional thoughts on this matter, it probably won't affect him at all, except, perhaps, until much, much later.
I know of no practice that deals wth rebirth with the exception for recollecting past lives. Pragmatically, understanding many of the key doctrines and practices -- four noble truths, dependent origination, meditation, etc -- does not seem to require a position on rebirth. Say, until one is prepared and decide to actually try to recollect previous lives (well, dependent origination might have manifold lives involved in some interpretations).
On the other hand, rebirth does paint a more complete and consistent picture of the doctrine and provide a much broader perspective for our existential condition. Consequently, it makes painfully evident the critical importance of Nibbāna (without rebirth, the significance for Nibbāna and Buddhism itself can be put into question). Additionally, this existential condition of "round of births / mass of suffering with no discernible beginning" can be a key to inspire people to walk the buddhist path:
"The tears you have shed while transmigrating & wandering this long, long time — crying & weeping from being joined with what is displeasing, being separated from what is pleasing — [is greater than] the water in the four great oceans.
-- Assu Sutta SN 15.3
First, if buddhist literature (e.g. pali canon) are taken generally "as is", by their standard, clinging to a "no rebirth" position is wrong-view.
Having said that, if these texts are to be taken as our primary source of what the Buddha taught, there's the fact that a huge number of them are immersed in this topic.
One common temptation then is to claim that rebirth ideas were brought to buddhist thought, and literature after the fact -- that the texts got corrupted. However seriously justifying and showing how this happened is a huge undertaking. No easier than showing that a great number of texts were composed later, or that these ideas got mixed in at a very early stage.
Another temptation is to justify the no-rebirth position saying there is no empirical evidence of rebirth, but that is an unsound statement (see "Argument from ignorance" fallacy).
Putting the argument aside, if that turns out to be true, the implication of this outcome is that either the Buddha got it wrong or that the Buddha lied (or, again, the texts got corrupted). None of these are easier to show than the "rebirth passages got added later" theory -- though some buddhists do believe that the Buddha lied as means to an end (even though it's widely accepted, by the texts and common sense that an arahant has no motivation to lie).
Note I'm not saying that any of these are impossible. I'm but laying out some of the possibilities and what may be some of the consequences (and burdens of proof) of each.
This is a corollary to the last point. I don't think one can strip off rebirth from buddhism and claim the result represents Buddha's words, integrally, as we know them. Rebirth is intertwined in a large amount of the discourses and cutting it off requires nothing short of a complex plastic surgery.
As to the question about the concept of rebirth: in summary, rebirth is the continuous "reappearing" in some realm after "the break up of the body". The result of ignorance (see Nidana Vagga — The Section on Causations). It's described in general in suttas such as The Shorter Exposition of Kamma (MN 135) and The Great Exposition of Kamma (MN 136).
I would also refer to this answer from @yuttadhammo posted to a similar question.
Would you characterize belief in rebirth as a central component of Buddhism?
In short, I personally don't. I think the central component depends on what you want to achieve and what is the best approach for you to practice Buddhism.
As a Buddhist of Chinese Mahayana influence, I personally do not consider belief in rebirth (in the context of rebirth after death, as you have further commented) as a central component of my practice. I am more aspired to practice compassion and cultivate wisdom. I chose the Pureland practice, as I believe this is the most suitable for my circumstances, to efficiently resolve my immediate 'problems' (mastery over desires, cessation of Dukkha, helping others, and eventually enlightenment).
Buddhist customs are practised very differently in every culture. The teaching is flexible, it respects and adapts to endemic culture to optimise learning for those who wish to practice.
In Chinese Buddhism, for example, is predominately Mahayana teaching. Chinese Buddhists firstly build foundation in endemic teachings in Confucianism (to cultivate humility) and Daoism (to understand cause and effect), before focusing their preferred Mahayana school. Tibetan Buddhism, as another example, sometimes referred as 'Lamaism', focuses their study in the esoteric schools and chant mantras as a common practice.
Despite different customs, in essence, every school do not deviate from Buddha's teachings. Important teachings such as the 'Four Noble Truths', Tri-drsti-namitta-mudrā (loosely transliterated as 'Three Dharma Seals', which evaluates whether or not a particular teaching is proper Buddhism), Buddha's final words before Nirvana and so forth, are core and shared amongst all Buddhist schools.
Are there Buddhists who do not believe in it?
Yes, I have encountered Buddhists who do not fully believe in rebirth after death.
The notion of 'believe' is quite loose. If we take the context of 'believing something' as accepting an idea, then I think most Buddhist 'accepts' this idea.
On the other hand, if we take the definition of 'believe' further so one needs to be able to fully understand and comprehend rebirth, then I do not think many Buddhists would fit into this category.
Take Einstein's Theory of Relativity as an example. Most of us today 'accepts' Einstein's theory and believe it is a true fact about our universe. However, how many of us choose to believe in the Theory of Relativity because we have a good understand of how it works, or do we simply believe it because of Einstein's reputation, it is taught in school, or simply because everyone believe Einstein's right so we think it must be right?
How many Buddhists truly believe in rebirth so they understand and are mindful of it? Buddha warns us of horrible consequences from our unwholesome actions. Teachings such as the Ksitigarbha Sutra depicts the intensity and length (years counted in astronomical numbers) of torment beyond imagination if one were to reborn to the Naraka realms (the underworld). Nonetheless, we still witness serious misconduct happening today, and in this context of 'believe' I do not consider one to believe in rebirth.
How is this concept understood, i.e., what does rebirth mean (in as much detail as possible) to a Buddhist?
Rebirth is an illusionary phenomenon where one being goes through a cycle of beginning (born), to end (death), and then it repeats the cycle indefinitely. This is an endless grinding process of suffering. One objective of practising Buddhism is to see through and let go of all the illusions, and achieve the utmost joy in enlightenment.
Humans are not the only beings that goes through the rebirth process, all sentient beings go through birth, ageing, sickness and death. Worlds go through birth, habitable, decaying and void stages, non-sentient beings (such as plants and minerals) go through a similar birthing and dying process.
The impermanence of all things is an important concept to be mindful of. It reminds us to truly cherish something (or someone) when we are in its presence, and when it ends we can let go gracefully and do not hold onto something that doesn't belong. The desire to 'own' something (and the illusionary idea that you can actually 'own' something) leads to suffering, as the inability to do so causes internal stress and unsatisfactoriness. Such desire may further exacerbate and motivate greed and/or hatred, leading one to commit unwholesome deeds (violence, stealing, adultery, distortion etc) that harms other and spread suffering. Although one receives a quick relief, the casualties have already been done, and the end outcome brings dire consequences to those who misconducted. The cost of such relief, because of an illusionary initiative, is truly pitiful.
The universe is 'blinking' according to Buddhist speculations on the universe's physic construct. In Ninnō-kyō, Maitreya Bodhisattva, said within flicking of a finger 32 billion-hundred-thousand thoughts has occurred. The universe goes through instantaneous rebirth processes, like film frames at such a high frequency, that only the most enlightened Bodhisattvas (in the final stages of development) is able to observe such phenomenon.
Anyway, I hope any of the above information from my studies is helpful to you. These are my learnings which are nowhere near perfect. I would greatly appreciate anyone's kind feedback and my apologies in advance if I have made any mistakes above.
On a practical level, see Ven. Thanissaro's excellent introduction to MN 60: A Safe Bet.
On a conceptual level, see Ven. Bodhi's excellent analysis in his essay: Does Rebirth Make Sense?
Would you characterize belief in rebirth as a central component of Buddhism?
I notice that "rebirth" isn't listed among the answers to, What teachings do all schools of Buddhism share? ... so, to the extent that Buddhism has a centre, perhaps that belief isn't "central".
How is this concept understood, i.e., what does rebirth mean (in as much detail as possible) to a Buddhist?
There were several good (long) answers to that in this topic.
The Truth of Rebirth And Why it Matters for Buddhist Practice by Thanissaro Bhikkhu.
From here:
§ When I first went to practice meditation with Ajaan Fuang, I asked him if people really were reborn after death. He answered, "When you start out practicing, the Buddha asks you to believe in only one thing: karma. As for things aside from that, whether or not you believe them isn't really important."
There is no single word for "rebirth" in the Pali suttas. There are around a dozen different terms that are translated as "rebirth". "Rebirth" is merely an interpretation of these terms.
Ultimately, "birth" ("jati") refers to the generation of the view or idea of "beings ("satta") and "self" (refer to SN 12.2; SN 23.2; SN 5.10 & SN 22.81). What is loosely translated as "rebirth" refers to the continuation or re-arising of "self" view.
For example, good kamma is done & the mind celebrates: "I have done good". Bad kamma is done & the mind regrets: "I have done bad".
Both good & bad kamma keep the mind trapped in suffering due to egoism.
What is "core" to Buddhism is what the Pali suttas state are "core", namely:
The six elements (AN 3.61)
The six sense spheres. (AN 3.61)
The eighteen applications of mindfulness in relation to the eighteen feelings. (AN 3.61)
The four noble truths. (AN 3.61; SN 56.31)
Dependent origination (which does not explain life after death; MN 28).
Three-characteristics (AN 3.134)
Emptiness (SN 20.7).
MN 38 states the dependent origination taught by the Buddha is visible in the here-&-now.
The Pali scriptures state what the Buddha taught: "leads to disenchantment, to dispassion, to cessation, to calm, to direct knowledge, to self-awakening, to Nibbana".
Where as believing in "rebirth/reincarnation" does not lead to Nibbana & especially leads to passion, which is why MN 117 explains ideas about 'rebirth' are polluted teachings that side with morality only; which is confirmed by MN 60, which states believing in rebirth only leads to morality (the three skilful actions).
AN 3.61 states believing 'past lives cause suffering' is easily refuted & is not the Buddha's teaching.
"Good, monks. You have been guided by me in this Dhamma which is to be seen here & now, timeless, inviting verification, pertinent, to be realized by the observant for themselves. For it has been said, 'This Dhamma is to be seen here & now, timeless, inviting verification, pertinent, to be by the observant for themselves,' and it was in reference to this that it was said.
MN 38
~~~
These, bhikkhus, are the three sectarian tenets which, when questioned, interrogated, and cross-examined by the wise, and taken to their conclusion, will eventuate in non-doing.
But, bhikkhus, this Dhamma taught by me is unrefuted, undefiled, irreproachable, and uncensured by wise ascetics and brahmins. And what is the Dhamma taught by me that is unrefuted, undefiled, irreproachable and uncensured by wise ascetics and brahmins?
‘These are the six elements’: this, bhikkhus, is the Dhamma taught by me that is unrefuted … uncensured by wise ascetics and brahmins. ‘These are the six bases for contact’ … ‘These are the eighteen mental examinations’ … ‘These are the four noble truths’: this, bhikkhus, is the Dhamma taught by me that is unrefuted, undefiled, irreproachable, and uncensured by wise ascetics and brahmins.
AN 3.61
~~~
'We will listen when discourses that are words of the Tathagata — deep, deep in their meaning, transcendent, connected with emptiness — are being recited. We will lend ear, will set our hearts on knowing them, will regard these teachings as worth grasping & mastering.' That's how you should train yourselves.
SN 20.7
~~~
All processes are inconstant. All processes are unsatisfactory. ll phenomena are not-self. The Tathagata directly awakens to that, breaks through to that. Directly awakening & breaking through to that, he declares it, teaches it, describes it, sets it forth. He reveals it, explains it & makes it plain:
AN 3.134
~~
Now, the Blessed One has said, "Whoever sees dependent co-arising sees the Dhamma; whoever sees the Dhamma sees dependent co-arising." And these things — the five clung-to-aggregates — are dependently co-arisen. Any desire, embracing, grasping & holding-on to these five clung-to-aggregates is the origination of stress. Any subduing of desire & passion, any abandoning of desire & passion for these five clung-to-aggregates is the cessation of stress.'
MN 28
~~~
And what have I taught? 'This is stress... This is the origination of stress... This is the cessation of stress... This is the path of practice leading to the cessation of stress': This is what I have taught. And why have I taught these things? Because they are connected with the goal, relate to the rudiments of the holy life, and lead to disenchantment, to dispassion, to cessation, to calm, to direct knowledge, to self-awakening, to Unbinding. This is why I have taught them.
SN 56.31
~~~
What I teach now as before, O monks, is suffering and the cessation of suffering.
MN 22