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Hume, on the contrary, thinks that suicide is morally permissible, also on the grounds of his analysis of duties. He talks about three types of duties: to god, to ourselves, and to others. I will skip the first category, since I don’t think there are any gods toward whom we have any duties.
In terms of duties to others, Hume claims that in committing suicide we do not harm others (again, with the partial exception of the distress we may cause to loved ones). However, we also — by necessity — cease to do any good for society, which may present a problem. Hume’s response here is that our duties to society are in proportion to the benefits we receive from society (a form of pragmatic reciprocal altruism, if you will), and since we do not receive any benefits from society after we die (obviously), it follows that we do not have any duties toward it either. More broadly, in Hume’s words, “I am not obliged to do a small good for society at the expense of a great harm to myself.”
Abstract: Philosophers and Buddhist scholars have noted the affinities between David Hume’s empiricism and the Buddhist philosophical tradition. I show that it was possible for Hume to have had contact with Buddhist philosophical views. The link to Buddhism comes through the Jesuit scholars at the Royal College of La Flèche. Charles Francois Dolu was a Jesuit missionary who lived at the Royal College from 1723–1740, overlapping with Hume’s stay. He had extensive knowledge both of other religions and cultures and of scientific ideas. Dolu had had first-hand experience with Theravada Buddhism as part of the second French embassy to Siam in 1687–1688. In 1727, Dolu also had talked with Ippolito Desideri, a Jesuit missionary who visited Tibet and made an extensive study of Tibetan Buddhism from 1716–1721. It is at least possible that Hume heard about Buddhist ideas through Dolu.
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(A) All humans who die stay dead after three days
So you reason by observing that this person remained dead after three days, that person remained dead after three days, so on and so forth. And after you've collected a "large" enough sample, then you infer that all humans remain dead after three days.
Now according to Hume, the problem with this reasoning is that there is no connection between past events and future events. There is only a series of various independent and particular events, i.e. this person remaining dead, that person remaining dead, etc, etc.
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one way we can generalise the argument is by saying that the principle of induction assumes that the future resembles the past. This means that future events will resemble past events such that the future will simply repeat the past, so if you can gather a sufficiently large amount of samples from the past, you can infer what is going to happen in the future. Unfortunately, there is absolutely no reason to believe this. Sure, it maybe pragmatic to believe this, but that isn't the same thing as saying that it is rational to do so
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