Discrete Mathematics - Vol 1 | 9. Rules of Inferences in Predicate Logic - part A by Abraham | Learn Smarter
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9. Rules of Inferences in Predicate Logic - part A

This lecture covers the rules of inference in Predicate Logic, specifically focusing on how to translate English statements into logical expressions using predicates. It delves into universal and existential quantification, illustrating key concepts with practical examples involving students and birds. The chapter emphasizes the importance of distinguishing between different logical statements to accurately represent relationships among predicates.

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Sections

  • 9.1

    Discrete Mathematics

    This section covers the rules of inference in predicate logic, focusing on translating English statements into predicate form and understanding existential and universal quantification.

    Learning Practice

  • 9.2

    Rules Of Inferences In Predicate Logic

    This section discusses the rules of inference in predicate logic, including how to translate English statements into predicates and the validity of arguments in this logical framework.

    Learning Practice

  • 9.2.2

    Translating English Statements Using Predicates

    This section focuses on how to translate English statements into predicate logic, emphasizing the use of quantifiers and predicates.

    Learning Practice

  • 9.2.3

    Rules Of Inferences In Predicate Logic

    This section introduces the rules of inference in predicate logic, exploring how to represent English statements using predicates.

    Learning Practice

  • 9.2.4

    Arguments In Predicate Logic

    This section covers the translation of English statements into predicate logic and explores rules of inference as well as arguments in predicate logic.

    Learning Practice

  • 9.3

    Example Of Representing Statements

    This section explores how English statements can be accurately represented using predicates in predicate logic.

    Learning Practice

  • 9.3.1

    Universal Quantification Example

    This section explores universal quantification in predicate logic through examples of translating English statements into logical expressions.

    Learning Practice

  • 9.4

    Interpretation Of Logical Statements

    This section explores the interpretation, translation, and representation of logical statements using predicates in predicate logic.

    Learning Practice

  • 9.4.1

    First Expression Analysis

    This section provides an insight into predicate logic, illustrating how English statements can be translated into logical expressions using predicates and quantifiers.

    Learning Practice

  • 9.4.2

    Second Expression Analysis

    This section delves into the representation of English statements in predicate logic, focusing on how to accurately translate universal and existential quantifications.

    Learning Practice

  • 9.5

    Further Examples

    This section discusses how to represent English statements in predicate logic and explores rules of inference using specific examples.

    Learning Practice

  • 9.5.1

    Existential Quantification Example

    This section discusses the representation of existential quantification in predicate logic through illustrative examples.

    Learning Practice

  • 9.6

    Arguments In English Statements

    This section discusses how to translate English statements into predicates, particularly focusing on universal and existential quantification in predicate logic.

    Learning Practice

  • 9.6.2

    Second Statement: Large Birds

    This section discusses how English statements can be translated into predicate logic, particularly focusing on universal and existential quantifications.

    Learning Practice

  • 9.6.3

    Third Statement: Dull In Colour

    This section explains how to represent English statements in predicate logic, specifically focusing on universal and existential quantification using examples related to students and birds.

    Learning Practice

  • 9.6.4

    Fourth Statement: Hummingbirds Are Small

    The section explores the logical representation of the statement that hummingbirds are small using predicate logic, illustrating how to interpret and translate English statements into logical expressions.

    Learning Practice

References

ch9 - part A.pdf

Class Notes

Memorization

What we have learnt

  • Predicate logic allows for ...
  • Universal quantification de...
  • Understanding the implicati...

Final Test

Revision Tests