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# Truth Table help

Wed 28 Mar, 2012 09:50 am
Borrowing rates are low iff foreign investors' confidence is high. Confidence is high iff deficit is low. Deficit is reduced by increasing taxes or reducing spendings. If taxes are increasing or spendings are being reduced, then deficit is being reduced. Our ideology prohibits us to increase taxes. Taxes are not increasing. Therefore, to keep borrowing rates low it is necessary to reduce spendings.

Assign variables and design a truth table to prove the logic above.
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fresco

1
Wed 28 Mar, 2012 01:42 pm
@IWasRaisedOnEDM,
[(B iff C). (C iff D).( (T v S) >D).(Not T)]>[B>S]

You need a 32 line truth table.
Taking B=1 and S=0, show this makes the premises false. (Method of Backward Fell Swoop)
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fresco

1
Fri 30 Mar, 2012 12:50 am
@IWasRaisedOnEDM,
EDIT

[(B iff C). (C iff D).( (T v S) >D).(Not T)]>[B>S]

You need a 32 line truth table.
OR YOU CAN SIMPLIFY BY
Taking B=1 and S=0, show this makes the premises false. (Method of Backward Fell Swoop)
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