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Logic I · Unit 4

Definition and Logical Division

Unit 4 of Logic – I (syllabus: Module IV — the purpose of definition; real and nominal, and the modern kinds; the traditional rules of definition and definition in law; logical division, dichotomy and classifying evidence). Below: what the unit covers, the provisions it turns on, and the cases an examiner expects you to name.

What this unit covers

  • What is definition, and what purposes does it serve?
  • What are the six kinds of definition, and how are they classified?
  • What are the four rules of per genus et differentiam definition, and their fallacies?
  • What is logical division, and how is it distinguished from other processes?
  • What are the rules of logical division and the fallacies of division?
  • What is division by dichotomy, and what is it worth?
  • How are definition and division related?
  • How does the logic of definition apply to a statutory definition clause?

Treat that list as a self-test: recite each topic's rule from memory before you open its cases.

Provisions

  • Purpose of definition, s. Module 4, head 4.1
  • Modern definitions: kinds, methods and purpose, s. Module 4, head 4.3
  • Rules of per genus et differentiam definition, s. Module 4, head 4.2
  • Logical division, s. Module 4, head 4.5
  • Rules and fallacies of logical division, s. Module 4, head 4.5
  • Division by dichotomy, s. Module 4, head 4.5
  • The relation of definition and division, s. Module 4, head 4.5
  • Definition and law, s. Module 4, head 4.4

Leading cases

  • Aristotle
  • Aristotle for per genus et differentiam definition; the remaining kinds are the modern logicians' additions
  • Joseph
  • Aristotle for the framework; the rules as stated are the traditional logicians' formulation
  • The laws of Contradiction and Excluded Middle
  • Aristotle for the rules; their application to drafting is the practical use made of them here

Exam questions on this unit