The claim under examination: suffering comes from craving, there is no permanent self, and rebirth continues until it ceases in nirvana.
Standard · preponderance of the evidence, not proof
The verdict
Buddhism's analysis of craving and impermanence is strongly supported. Its claims about rebirth, karma across lives, and nirvana are possible or philosophically substantial, but unestablished. Assurance is mixed: self-powered paths defer it; Pure Land offers something closer to grace.
If you read nothing else
Much of Buddhism can be tested in this life, and that is its strength. But rebirth without a permanent self, karma across lives, and nirvana as the end of the cycle remain beyond what the evidence here establishes.