Logical Consistency

Logical Consistency - Logical Consistency PHIL 102...

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    Logical Consistency PHIL 102 Introduction to Logic and Critical Thinking
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    Logical Consistency Of all the philosophical crimes there are, the one you really don’t want to get charged with is INCONSISTENCY. Consistency is the cornerstone of rationality What then, exactly does consistency mean?
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    Logical Consistency Consistency is a property characterizing two or more statements Two statements are logically consistent if both claims can be true at the same time
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    Inconsistency If one holds inconsistent beliefs, then at root, this means one is asserting that “X is true” and at the same time “X is not true” (p and ~p) More broadly, one holds inconsistent beliefs if one belief contradicts another or the beliefs in question together imply: CONTRADICTION or CONTRARIETY (Contrary) Inconsistent statements cannot both be true at the same time!
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  Consistency vs. Inconsistency Logical Inconsistency = Logical conflict How can we determine if two statements are in conflict? Q1 : Can both claims be true at the same time? If Yes = Logical consistency (no conflict) If No = Go to Q2 Q2 : Can both claims be false at the same time? If Yes: CONTRARY CLAIMS (inconsistent)
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Logical Consistency - Logical Consistency PHIL 102...

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