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Using the tableau technique, show either the consistency, or
inconsistency of the following sets of sentences:
- Mary is a woman. Mary has fifty children.
- Mary is a woman. Mary has three billion children.
- Her tree is an oak. It is either broadleaved or deciduous.
It is not an oak unless it is both broadleaved and deciduous.
- Joe's tree is an oak if it is not an ash. Unless it is a
birch it is an ash.
- If Padua is where he thinks it is, Milan is west of it.
Milan is not where he thinks it is, but Padua is. Milan is north
west of Padua.
- Padua is in Italy or Greece. If Padua is in Greece, Italy is
not in Europe. Italy is in Europe. Padua is not in Europe.
- If Padua is in Europe, it is in Italy. Padua is in Italy,
but not in Europe.
- If anyone is happy, I am happy. If no one is happy, I am
happy.
- If anyone is happy, everyone is happy. Someone is unhappy.
Next: Validity
Up: Week 1: Consistency and
Previous: Consistency/inconsistency
Sandy Berkovski