Condensed from Bruce R. Reichenbach,
Is Man the Phoenix? A Study of Immortality (Grand Rapids, MI: Wm.
B. Eerdmans Publishing Co./Christian University Press), 1978.
1. Reichenbach formalizes Plato's argument as follows (p. 116):
2. Properties which are named after these forms cannot admit of their opposites without withdrawing or ceasing to exist.
3. A thing which has a certain property essentially cannot admit of the opposite of that property, without withdrawing or ceasing to exist.
4. The essential property of the soul is life.
5. The opposite of life is death.
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6. So, the soul cannot admit of death without withdrawing or ceasing to exist.
7. Whatever cannot admit of death is immortal.
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10. Whatever is imperishable cannot cease to
exist.
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11. So, the soul cannot cease to exist, but withdraws from that which admits of death, the body.
3. It is in premises 9 and 10 that Reichenbach identifies a problem with this argument: the argument either equivocates or begs the question. Equivocation occurs whenever the same word has more than one meaning in an argument. Begging the question occurs whenever one simply assumes the truth of that which one is supposed to be proving. The word that causes all the problems (according to Reichenbach) is the word "imperishable," in premises 9 and 10.
4. Let's begin with the following definition of "imperishable"
(D1) Something is imperishable if and only if it is not subject to organic disintegration.
If we understand "imperishable" along the lines of (D1), then premises 9 and 10 would read as follows:
10. Whatever is not subject to organic disintegration cannot cease to exist.
5. This suggests an alternative definition of "imperishable."
(D2) Something is imperishable if and only if it cannot be annihilated.
On this understanding of "imperishable," premises 9 and 10 read as follows.
10. Whatever cannot be annihilated cannot cease to exist.
6. So, Reichenbach concludes that Socrates has not shown what he needed to show; Socrates has either equivocated or begged the question.
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