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# 30 - A f ina l reconstruction I n this version there is no...

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A final reconstruction In this version there is no confusion between instants and intervals. Rather, there is a fallacy that logic students will recognize as the “quantifier switch” fallacy. The universal quantifier, “at every instant,” ranges over instants of time; the existential quantifier, “there is a place,” ranges over locations at which the arrow might be found. The order in which these quantifiers occur makes a difference! (To find out more about the order of quantifiers, click here .) Observe what happens when their order gets illegitimately switched: 1c. If there is a place just the size of the arrow at which it is located at every instant between t 0 and t 1 , the arrow is at rest throughout the interval between t 0 and t 1 . 2c. At every instant between t 0 and t 1 , there is a place just the size of the arrow at which it is located. We will use the following abbreviations: L ( p , i ) The arrow is located at place p at instant i R The arrow is at rest throughout the interval between t 0 and t 1

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