Philosophy › Section E · Logic and reasoning › Topic E.2

Logical statements

Before you can judge an argument, you have to know exactly what its statements claim. A few kinds of statement, above all the conditional, carry most philosophical reasoning, and truth tables show precisely when each one is true.

In this topic

  • Statements and connectives
  • Not, and, or
  • The conditional
  • Many ways to say if
  • Necessary and sufficient conditions
  • Converse and contrapositive
  • Worked example: checking equivalence with a truth table
  • Counterexamples
  • Universal statements
  • Worked example: translating and testing
  • Common mistakes to avoid
  • Key takeaways

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