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For Problems 55-58, express each argument symbolically. If the argument is valid, construct a formal proof. If not, produce a counterexample chart 55. If Spain does not control its pensions and Greece does not collect its taxes, then either France or Belgium will drop out of the European Union. Either Spain cannot control its pensions or the Netherlands will reduce its loan to Spain. France will not drop out of the European Union but Denmark will drop out. The Netherlands will not reduce its loan to Spain and Greece does not collect its taxes. Therefore, Denmark and Belgium will drop out of the European Union.

For Problems 55-58, express each argument symbolically. If the argument is valid, construct a formal proof. If not, produce a counterexample chart 55. If Spain does not control its pensions and Greece does not collect its taxes, then either France or Belgium will drop out of the European Union. Either Spain cannot control its pensions or the Netherlands will reduce its loan to Spain. France will not drop out of the European Union but Denmark will drop out. The Netherlands will not reduce its loan to Spain and Greece does not collect its taxes. Therefore, Denmark and Belgium will drop out of the European Union.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For Problems 55-58, express each argument symbolically. If the argument is valid, construct a formal proof. If not, produce a counterexample chart. 55. If Spain does not control its pensions and Greece does not collect its taxes, then either France or Belgium will drop out of the European Union. Either Spain cannot control its pensions or the Netherlands will reduce its loan to Spain. France will not drop out of the European Union but Denmark will drop out. The Netherlands will not reduce its loan to Spain and Greece does not collect its taxes. Therefore, Denmark and Belgium will drop out of the European Union.
Transcribed Image Text:For Problems 55-58, express each argument symbolically. If the argument is valid, construct a formal proof. If not, produce a counterexample chart. 55. If Spain does not control its pensions and Greece does not collect its taxes, then either France or Belgium will drop out of the European Union. Either Spain cannot control its pensions or the Netherlands will reduce its loan to Spain. France will not drop out of the European Union but Denmark will drop out. The Netherlands will not reduce its loan to Spain and Greece does not collect its taxes. Therefore, Denmark and Belgium will drop out of the European Union.
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