NMTS-Group9
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Predicate logic - logical connectives
The purpose of Predicate logic is to avoid ambiguity in sentences by forming formulae out of natural language. Logical connectives are used to create formulae out of sentences with "and", "or", "if/then" and "not". The aim is to state if the given sentence is true or false in a given model.
Examples
and
Symbol: Ʌ
Sentence: Harry is a student and Snape is a teacher.
Formulae: student (harry) Ʌ teacher (snape) = true/false
or
Symbol: V
Sentence: Harry is a student or Snape is a teacher.
Formulae: student (harry) V teacher (snape) = true/false
if/then
Symbol: -->
Sentence: If Harry is a student then Snape is a teacher.
Formulae: [[student (harry) --> teacher (snape)]] = true/false
not
Symbol: ¬
Sentence: Harry is not a student.
Formulae: ¬student (harry) = true/false
Difficulties
- Abstraction of content/natural language
- Understanding the whole process from creating a model to interpret formulae
- Understanding the truth conditions of a formulae with connectives