Logical Reasoning Exercises

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What is the method used to prove that there is no smallest positive rational number?

Using the concept of finite extent

Dividing it by two to get a smaller one (correct)

Using the concept of infinity

Proof by contradiction

What is the type of argument that involves two or more premises that lead to two or more conclusions?

Categorical syllogism

Destructive dilemma

Constructive dilemma (correct)

Hypothetical syllogism

What is the term for a sentence that is supported by other sentences in an argument?

Assumption

Inference

Premise

Conclusion (correct)

What is the term for a group of sentences where some sentences (premises) support the truth of another sentence (conclusion)?

Argument Signup and view all the answers

What is the purpose of premise indicators in an argument?

To indicate the premises Signup and view all the answers

What is the term for a sentence that expresses a personal opinion or belief?

Statement of belief Signup and view all the answers

Why did the University of Auckland not receive the discount on the textbook?

The agreement was lost after the person responsible for it left the company. Signup and view all the answers

What is a suggested method to prevent fleas on dogs?

Spraying them with cider vinegar Signup and view all the answers

What should you consider before accepting a job after class hours?

The impact of the job on your course load and energy levels Signup and view all the answers

What is a common way to represent chemical elements and compounds?

Using their molecular formulas Signup and view all the answers

What is a necessary condition for A?

A is true only if C is true Signup and view all the answers

What is an example of a loosely associated statement?

Water is wet and swimming pools are filled with water Signup and view all the answers

What is the primary goal of the company according to the company's beliefs?

To develop and produce outstanding products that fulfill a need for customers Signup and view all the answers

What is the result of the car bomb explosion in Medellín according to the report?

25 people were injured and millions of dollars in damage were caused Signup and view all the answers

What was the outcome of the negotiation with the publisher regarding the textbook price?

The publisher agreed to give a discount to Auckland University students Signup and view all the answers

What is the context of the report mentioning old diseases and new diseases?

A report on the impact of diseases in the developing world Signup and view all the answers

What was the reason for calling the publisher after the students complained?

To discuss the students' complaints about the price Signup and view all the answers

What is the location of the university where the Critical Thinking course was taught?

The University of Auckland in New Zealand Signup and view all the answers

What is the first step in setting up a truth table for an argument?

Fill out the top left and top right column of the truth table Signup and view all the answers

What is the purpose of boxing the main operator column in a truth table?

To identify the main operator and its truth value Signup and view all the answers

How do you determine the validity of an argument using a truth table?

By checking the lines with true premises and false conclusion Signup and view all the answers

What is the order of operations in filling out a truth table?

According to the order of the five operators Signup and view all the answers

What is the number of lines needed for a truth table?

It depends on the number of component statements Signup and view all the answers

What is the purpose of the truth table in determining the validity of an argument?

To determine the validity of the argument Signup and view all the answers

What is the definition of exclusive disjunction?

Both disjuncts cannot be true at the same time Signup and view all the answers

What symbol is used to represent exclusive disjunction?

v Signup and view all the answers

When is a conditional statement false?

When the antecedent is true and the consequent is false Signup and view all the answers