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Logical Arguments

Testing whether a conclusion genuinely follows from its premises, separating valid argument forms from plausible-sounding fallacies.

Discrete Math for Shockers, Logical Arguments

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5 exercises

Exercise 1

Determine if the following deduction rule is valid:

2.5

Exercise 2

Determine if the following is a valid deduction rule:

2.5

Exercise 3

Determine if the following is a valid deduction rule:

2.5

Exercise 6

Consider the statement “Superman saves the day or Lois Lane dies. Superman saved the day, therefore Lois didn't die.” Is the argument valid? Explain your answer.

2.5

Exercise 8

Show that the following argument is invalid.

If wages increase, then there will be inflation. The cost of living will not increase if there is no inflation. Wages will increase. Therefore, the cost of living will increase.

2.5
Propositional Functions and QuantifiersAn introduction to proofs

Adapted from Discrete Math for Shockers © 2021 John Hammond. Licensed under CC BY-SA 4.0. Source: Discrete Math for Shockers. Imported at revision 2538beb.

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