Practice Part A (13.4.1) - Lecture - 13 - Discrete Mathematics - Vol 1
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Part a

Practice - Part a - 13.4.1

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define what a predicate function is in your own words.

💡 Hint: Think about how predicates relate to properties of objects.

Question 2 Easy

What does the existential quantifier signify?

💡 Hint: It starts with a symbol that looks like an upside down 'E'.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a predicate?

A statement that is always true
A function that can be true or false
An assertion about all elements

💡 Hint: Consider how predicates use variables.

Question 2

True or False: Universal quantifiers always indicate the existence of something.

True
False

💡 Hint: Recap the definitions of universal quantifiers.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using the predicates defined, create a scenario with at least three premises and assess the validity of a conclusion drawn from these.

💡 Hint: Develop premises that include both existential and universal claims.

Challenge 2 Hard

Design a logical argument involving counterexamples to prove a specific mathematical claim false.

💡 Hint: Focus on examples where the truth of the premises does not guarantee the conclusion.

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