Module: Basic statistics
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Do not believe in anything simply because you have heard it. Do not believe in anything simply because it is spoken and rumored by many. Do not believe in anything simply because it is found written in your religious books. Do not believe in anything merely on the authority of your teachers and elders.
- Buddha
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Yes, this reasoning is fallacious. The key point here is that everyone eventually dies of something. The main reason that the death rate from cancer has increased in the past 40 years is improved treatment and prevention of other diseases, especially infectious diseases. This has led to increased life expectancy, and to an increase in the death rate from diseases which cannot be so successfully cured (especially in old people), such as various forms of cancer.