1. Is the following argument valid? In order to determine this, (1) make a translation key, then (2) construct a truth table, indicating how it shows that it is either valid or invalid. (NOTE: You don't need to calculate every individual truth value assignment for every sub- formula (though you may), you only need to, at a minimum, show what truth values the whole wffs (each premise and the conclusion) have on each truth value assignment.) 'If moral truths are relative, then they are either relative to individuals or relative to cultures. If moral truths are relative to individuals, then a psychopath's morality is as good as Mother Teresa's. A psychopath's morality is not as good as Mother Teresa's. So, If morals are relative, then they are relative to cultures.'
1. Is the following argument valid? In order to determine this, (1) make a translation key, then (2) construct a truth table, indicating how it shows that it is either valid or invalid. (NOTE: You don't need to calculate every individual truth value assignment for every sub- formula (though you may), you only need to, at a minimum, show what truth values the whole wffs (each premise and the conclusion) have on each truth value assignment.) 'If moral truths are relative, then they are either relative to individuals or relative to cultures. If moral truths are relative to individuals, then a psychopath's morality is as good as Mother Teresa's. A psychopath's morality is not as good as Mother Teresa's. So, If morals are relative, then they are relative to cultures.'
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:**Argument Validity and Truth Table Construction**
**1. Is the following argument valid?** To determine this, perform the following steps:
- (1) Create a translation key.
- (2) Construct a truth table to indicate whether the argument is valid or invalid.
**NOTE:** It is not necessary to calculate every individual truth value for every sub-formula (although you may choose to do so). At a minimum, you need to show the truth values of the whole well-formed formulas (wffs), which include each premise and the conclusion, for each truth value assignment.
**Argument:**
"If moral truths are relative, then they are either relative to individuals or relative to cultures. If moral truths are relative to individuals, then a psychopath’s morality is as good as Mother Teresa’s. A psychopath’s morality is not as good as Mother Teresa’s. So, if morals are relative, then they are relative to cultures."
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