Logic and Reasoning Foundat ions

Principles of Reasoning and Logic

Drawing Conclusions and Inferences

• A strong connection implies that the sample size is sufficiently large to confidently draw a conclusion from an argument. For instance, if a class has $40$ students, a conclusion drawn from this group could be considered more robust if the connection is strong.

• An inference is the conclusion reached from premises. The process of deriving an inference follows a structured reasoning process, not just arbitrary thought.

Rules of Inference: Modus Tollens

• Modus Tollens (meaning 'method of denying') is a rule of inference that operates on the principle of denial.

• It involves denying the consequence of an implication, which then necessitates denying the antecedent.

  • Symbolically, if you have ($P \rightarrow Q$) and ($\neg Q$), you can infer ($\neg P$).

• The symbol ($\neg$) represents