Fundamentals of Logic and Reasoning
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Questions and Answers

What does pareidolia refer to?

  • A type of scientific study
  • A method of eyewitness testimony
  • The imagined perception of a pattern or meaning where it does not exist (correct)
  • A principle of folk psychology

Expertise is deemed to be specific to a particular field.

True (A)

What are common factors that might inspire doubt in a statement?

Inconsistency, lack of evidence, or conflicting testimonies.

In a majority of similar fundraising events, donations typically amount to ____.

<p>$60,000</p> Signup and view all the answers

Match the concepts to their definitions:

<p>Folk Psychology = Attributing emotions and intentions to others Scientific Studies = A method that advances our knowledge Eyewitness Testimony = Verbal accounts based on personal experience Expert Testimony = Reliable judgment based on training and experience</p> Signup and view all the answers

What is the probability of bringing in $110,000 in donations?

<p>1% (D)</p> Signup and view all the answers

Eyewitness testimony is generally not considered reliable.

<p>False (B)</p> Signup and view all the answers

What are the expected donation amounts when events do not perform as well as hoped?

<p>$11,000</p> Signup and view all the answers

What type of claim describes how the world is?

<p>Descriptive Claims (B)</p> Signup and view all the answers

Normative claims can be easily evaluated like descriptive claims.

<p>False (B)</p> Signup and view all the answers

Name one key difference between deductive and inductive reasoning.

<p>Deductive reasoning provides conclusive proof while inductive reasoning suggests probable conclusions.</p> Signup and view all the answers

Normative claims can be categorized into ethical and __________ claims.

<p>prudential</p> Signup and view all the answers

Match the following terms with their definitions:

<p>Descriptive Claims = Claims about what is the case Normative Claims = Claims about what ought to be the case Deductive Logic = Reasoning from general principles to specific conclusions Inductive Logic = Reasoning from specific examples to general conclusions</p> Signup and view all the answers

Which of the following is an example of a normative claim?

<p>People should recycle more. (C)</p> Signup and view all the answers

Arguments that start by asserting an 'if...then...' statement are examples of inductive logic.

<p>False (B)</p> Signup and view all the answers

What is a premise in an argument?

<p>A premise is a statement that supports a conclusion.</p> Signup and view all the answers

What is the expected value (EV) of a lottery ticket with a prize of $1,000,000 and a 50% chance of winning?

<p>$500,000 (A)</p> Signup and view all the answers

The Gambler's Fallacy occurs when someone believes that past independent events influence the likelihood of future independent events.

<p>True (A)</p> Signup and view all the answers

What formula should you use to calculate the expected value when considering different outcomes and their probabilities?

<p>EV = (Probability1 × Value1) + (Probability2 × Value2) + ... + (ProbabilityN × ValueN)</p> Signup and view all the answers

If the chances of winning are 0.01, the probability of losing can be calculated as __________.

<p>0.99</p> Signup and view all the answers

Match the following probabilities with their corresponding outcomes:

<p>0.5 = Even chance 0.25 = One in four chance 0.1 = One in ten chance 0.001 = One in a thousand chance</p> Signup and view all the answers

What is the expected value of investing in a Customer Management System if the calculated EV is -$3750?

<p>The investment is unfavorable (A)</p> Signup and view all the answers

The expected value can only be calculated for investments that always yield a positive outcome.

<p>False (B)</p> Signup and view all the answers

If you invest $100 and expect a profit of $400 in one outcome and a loss of $100 in another outcome, what is the outcome if both outcomes have a 50% probability?

<p>$100</p> Signup and view all the answers

What does the 'antecedent' in a conditional claim refer to?

<p>The condition itself (C)</p> Signup and view all the answers

Modus Ponens is a valid form of deductive reasoning.

<p>True (A)</p> Signup and view all the answers

Define Modus Tollens.

<p>Denying the consequent in a conditional argument.</p> Signup and view all the answers

If there is a fire, there is ______ present.

<p>oxygen</p> Signup and view all the answers

Match the following logical terms with their descriptions:

<p>Modus Ponens = Affirming the antecedent Modus Tollens = Denying the consequent Affirming the Consequent = Fallacy in conditional arguments Denying the Antecedent = Fallacy in conditional arguments</p> Signup and view all the answers

Which of the following represents a fallacy in deductive reasoning?

<p>Affirming the Consequent (B)</p> Signup and view all the answers

Bridge principles must always be in the 'if-then' format.

<p>False (B)</p> Signup and view all the answers

What is an example of a generalization in inductive reasoning?

<p>40% of surveyed Canadians have tried marijuana at least once.</p> Signup and view all the answers

What is one way to combat cognitive biases according to the provided strategies?

<p>Conduct a premortem (B)</p> Signup and view all the answers

Having explicit procedures in place can help combat groupthink.

<p>True (A)</p> Signup and view all the answers

What should bosses and majorities avoid when team members challenge their ideas?

<p>Punishing</p> Signup and view all the answers

Cognitive biases can be mitigated by conducting a __________ before major decisions.

<p>premortem</p> Signup and view all the answers

What is the first stage in the pragma-dialectical theory of resolving disagreements?

<p>Confrontation (C)</p> Signup and view all the answers

When calculating expected value (EV), which of the following variables is NOT typically used?

<p>Cost of each outcome (C)</p> Signup and view all the answers

Intellectual humility is the willingness to accept the limitations of one's own beliefs.

<p>True (A)</p> Signup and view all the answers

Using formal tools can help mitigate personal biases.

<p>True (A)</p> Signup and view all the answers

What is the primary goal of argumentation in a critical discussion?

<p>To resolve disagreements and reach a mutual understanding.</p> Signup and view all the answers

What is the formula for calculating expected value (EV)?

<p>EV = (p1 × V1) + (p2 × V2) + ... + (pn × Vn) - fixed cost</p> Signup and view all the answers

The stage of ________ in pragma-dialectical theory involves participants settling on ground rules.

<p>Opening</p> Signup and view all the answers

Flashcards

Expected Value (EV)

The average outcome of an action if repeated many times, calculated by multiplying each possible outcome by its probability and summing the results.

Gambler's Fallacy

The mistaken belief that past random events affect future outcomes.

Calculating EV

To calculate EV (expected value), you multiply each possible outcome by its probability and sum the results.

Probability

The chance that a particular event or outcome will happen.

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Lottery Ticket EV

The average payout of a lottery, considering the prize amount and the probability of winning.

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Investment EV

The average return on an investment, taking into account the possible outcomes and their probabilities.

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EV Example

Example calculation: (probability of winning × prize) + (probability of losing × loss).

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Business Decision EV

An expected value analysis is useful in determining if a business decision is worthwhile.

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Pareidolia

The perception of a pattern or meaning where it doesn't actually exist.

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Eyewitness Testimony

A person's account of what they saw and experienced.

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Folk Psychology

Common sense understanding of others' moods, beliefs, and intentions.

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Expert

A person with specialized knowledge or training, making their judgment more reliable.

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Expertise

Specialized knowledge or skill in a particular field; this knowledge may make a judgement or testimony more reliable.

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Scientific Studies

Systematic investigation to advance knowledge and understanding.

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Expected Value

The average outcome of a probabilistic event, calculated by multiplying each possible outcome by its probability, and adding the results.

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Fundraising Event

A planned activity to collect donations for a specific purpose.

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Premise Quality

How well supported the basis of an argument is, separate from the argument's logic.

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Descriptive Claim

Describes how the world is. It's factual.

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Normative Claim

States how the world should be. It's an opinion or value judgment.

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Deductive Logic

If the premises are true, the conclusion must be true.

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Inductive Reasoning

If the premises are true, the conclusion is likely true.

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Descriptive vs. Normative Claims

Descriptive claims describe facts, while normative claims prescribe values or judgments about what ought to be.

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Logical Gap Between Claims

Some claims simply cannot logically follow from others, especially when contrasting descriptive and normative statements.

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Evaluating Normative Claims

Assessing normative claims is trickier than evaluating descriptive ones. Focus on evidence for the value judgment.

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Antecedent

The condition or part of a conditional statement that follows the 'if'.

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Necessary Condition

A condition that must be present for something else to happen.

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Sufficient Condition

A condition that, when present, guarantees something else will happen.

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Modus Ponens

A valid argument form where affirming the antecedent leads to affirming the consequent. If P, then Q. P. Therefore Q.

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Modus Tollens

A valid argument form where denying the consequent leads to denying the antecedent. If P, then Q. Not Q. Therefore, not P.

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Affirming the Consequent

A fallacy where concluding the antecedent from a true consequent is invalid. A fallacy.

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Denying the Antecedent

A fallacy where concluding the consequent is false because the antecedent is false, is invalid. A fallacy.

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Inquiry Questions

Questions designed to prompt deeper thinking and exploration, encouraging critical analysis and seeking further information.

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Disagreement

A situation where two or more parties hold conflicting views or opinions.

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Confrontation

The initial stage of a disagreement where participants express their differing viewpoints.

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Intellectual Humility

The ability to acknowledge limitations in one's own knowledge and be open to new information and perspectives.

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Intellectual Empathy

The capacity to understand and appreciate perspectives different from one's own, even if you don't agree with them.

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Fighting Cognitive Biases

Techniques to overcome flawed thinking patterns (cognitive biases) that can lead to poor decisions.

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Groupthink

A phenomenon where the desire for harmony or conformity in a group overrides critical evaluation of alternative ideas.

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Procedures for Fighting Groupthink

Formal steps and guidelines to encourage diverse perspectives and prevent groupthink, such as pre-mortems and assigning a devil's advocate.

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Premortem

A process where a group imagines how a decision could fail and brainstorm potential problems before it happens.

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Culture (in decision-making)

Shared values and beliefs within a group about how decisions should be made, considering who participates and the process.

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Expected Utility (EU)

The average outcome of a decision considering the probability of each possible result, and the usefulness of outcome.

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Study Notes

Lecture Notes 09.09.2024

  • Investment Plan Example: Mr. Lee is considering two retirement investment plans, Plan A and Plan B, each with different probabilities of success and profit.
  • System 1 vs System 2: System 1 reasoning is quick and reliable, but overly reliant on intuition and susceptible to biases. System 2 reasoning is complex and more cautious, but slower and requires effort. System 2 is necessary for effective reasoning.
  • Linda Example: Linda's case study highlights how System 1 can be misled by representative descriptions that ignore other relevant information.
  • Errors of Reasoning: Effective reasoning requires learning to identify and mitigate sources of error: Cognitive Biases.

Lecture Notes 09.16.2024

  • Memos: In business, the best decisions are supported by thorough reasoning and clear communication. A memo has a set structure for effective communication.
  • Memo Structure: A memo should have To:, From:, Date:, Subject:, and a body that explains the background of the situation, the reasoning, and the desired action in a concise way.

Lecture Notes 09.23.2024

  • Expected Value: Used in decision-making, it helps determine the likely outcome of situations where probabilities can be assigned reasonably.
  • Use of Expected Value: Involving probability, it can provide a tool to determine which choice creates the best outlook over multiple trials.
  • Avoiding Guessing: When probabilities are known, avoid guessing or estimating, instead use established probabilities.

Lecture Notes 09.30.2024

  • Claims and Basic Sources of Justification: These are points of support and reasoning.
  • Example 1: Investment scenario with 3 possible outcomes.
  • Expected value of Investment Scenario: Calculating a possible expected outcome from the given probabilities.

Lecture Notes 10.07.2024

  • Diagramming Arguments: Understanding argument structure—analysis and evaluation, and separating premises (reasons) and conclusions.
  • Claims and Premises: Arguments contain claims, including premises, propositions—statements that provide reasons to believe a conclusion.
  • Embedded vs Asserted Claims: Understanding the difference between claims stated directly and those embedded within a larger argument.
  • Analysis and Evaluations: Breaking down arguments into components and evaluating the strength and connection between premises and conclusion.

Lecture Notes 10.07.2024

  • Hidden Parts of Arguments: Speakers or writers may leave components of their arguments unstated.
  • Reconstructing Arguments: Steps for clarifying arguments from various sources, by recognizing premises, conclusions, and how they relate.
  • Principles of Fidelity and Charity: Steps toward a better understanding of argument structures and ensuring faithful and charitable rendering of the arguer's point of view in their own words.

Lecture Notes 10.07.2024

  • Argument Components: Arguments often consist of multiple parts, each playing different roles like premise (reasons) and conclusion (the point).
  • Argument Diagrams: Visual representations of arguments, demonstrating relations between claims and their interconnectedness.
  • Joint Premises: Some argument parts are interconnected in their logical support.
  • Layered Arguments: Showing arguments, that rest on multiple parts that when considered together support a larger conclusion (argument).

Lecture Notes 10.07.2024

  • Logic (Strong vs Weak Arguments):
  • Strong Arguments: Premises provide excellent support for the conclusion. If the premises are true, the conclusion has to be true.
  • Weak Arguments: Arguments that do not provide strong support, or have premises that need more support for the conclusion.

Lecture Notes 10.07.2024

  • Deductive Logic: If the premises are true, the conclusion absolutely has to be true as well.
  • Modus Ponens: affirming the antecedent
  • Modus Tollens: denying the consequent

Lecture Notes 10.07.2024

  • Fallacies:
  • Affirming the consequent: a false type of argument structure whereby a conclusion follows from an invalid premise.
  • Denying the antecedent: a false type of argument structure.
  • Conditional statements: If a premise is an “if-then,” then it’s a conditional statement.

Lecture Notes 10.07.2024

  • Simple vs Complex Arguments: Simpler arguments usually have few premises or reasons, compared to more complex ones.

Lecture Notes 11.04.2024

  • Inductive Logic and Reasoning: reasoning from observations to broader generalizations.
  • Generalizations and Patterns: Inductive logic reasons from particular observations to broader conclusions about a category of things.
  • Inference to the Best Explanation (IBE): Reasoning to the most plausible explanation (with good criteria.)

Lecture Notes 11.04.2024

  • Generalization: A type of inductive argument where a conclusion is drawn about a group of things based on observations of a subset of those things.

Lecture Notes 11.04.2024

  • Simple Induction: Reasoning from repeated observation.
  • IBE: Inference to the Best Explanation: finding the most reasonable explanation for an observation.

Lecture Notes 11.11.2024

  • Recap of Argument Types (deductive and inductive)
  • Fallacies: Errors in reasoning (bad logic or flawed premises.)
  • Cognitive Biases: Psychological tendencies affecting how we process information and make decisions.

Lecture Notes 11.11.2024

  • Argumentative Fallacies (Argument From Tradition, Appeal To Popularity, Post Hoc Ergo Propter Hoc, False Dilemma, Straw Man, Appeal to Anecdote, Hasty Generalization, Appeal to Authority): Errors in reasoning that are common enough to have names.
  • What these fallacies do: These fallacies can be used skillfully (or unintentionally) to convince others or even ourselves that something is true despite inadequate or flawed reasoning.
  • Why are they important: Understanding these fallacies prevents us from accepting poorly-supported arguments and using them inadvertently or purposefully to persuade others.

Lecture Notes 11.18.2024

  • Compound Probability and Insurance: Calculating the probability of multiple, separate events simultaneously, and related business decisions.
  • Conditional vs Independent Probabilities: Understanding how the probability of one event relates to the probability of another.
  • Expected Value (EV): Calculating expected values related to conditional probabilities to help understand and make possible decisions in a business context.

Lecture Notes 11.25.2024

  • Creative Thinking and Virtuous Arguers
  • Creative Thinking in Argumentation
  • Argument Type, Fallacies, and Biases

Lecture Notes 11.25.2024

  • Combining Arguments Different types of reasoning may work together to make a composite argument.
  • Analyzing Structures Analyzing how premises and conclusions connect in an argument to get a deeper understanding.
  • Resolving Disagreements Various ways of approaching or resolving disagreement (formal or informal processes).

Lecture Notes 11.25.2024

  • Argumentation Schemes A set of rules for structuring how to present an argument that addresses objections.
  • Practical and Formal Argument Forms There are different approaches to argumentation depending on the context.

Lecture Notes 11.25.2024

  • Intellectual Humility: Recognizing your own knowledge limitations.
  • Intellectual Empathy: Understanding the perspectives and reasoning behind other people's arguments.
  • Intellectual Courage: Ability to be honest even with inconvenient or unpopular views and to confront your own biases.

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Description

This quiz explores key concepts in logic, such as deductive and inductive reasoning, normative versus descriptive claims, and the reliability of eyewitness testimony. It will challenge your understanding of various logical principles and their applications in real-life scenarios, including fundraising events and probability assessments.

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