Welcome back!
In our last lesson, we focused on the Principle of Charity, a crucial guideline for interpreting arguments in their strongest possible form. We saw how this principle is not just about being polite, but is a fundamental tool for seeking truth. The "straw man" argument, which we briefly touched upon, represents a direct violation of this principle. Today, we'll build on that foundation by exploring a broader range of such errors in reasoning.
Our learning outcome for this lesson is to identify common informal fallacies, including but not limited to equivocation, the straw man, and begging the question. These fallacies represent recurring patterns of poor reasoning that can make an argument seem more persuasive than it actually is. Recognizing them is a critical skill for both analyzing the arguments of others and strengthening your own.
1. Formal vs. Informal Fallacies
Before we dive into specific examples, it's useful to draw a distinction that will likely resonate with your background in physics and mathematics: the difference between formal and informal fallacies.
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Formal Fallacies are errors in the structure or form of a deductive argument. The argument is invalid regardless of the content of its premises. You can think of this as a "syntactic" error in reasoning. An example is affirming the consequent:
- If it is raining (), then the ground is wet ().
- The ground is wet ().
- Therefore, it is raining ().
The structureIf P then Q. Q. Therefore, P.is always invalid, no matter what and represent.
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Informal Fallacies, which are our focus today, are errors in the content, context, or premises of an argument. The argument's structure might be formally valid, but the reasoning is still flawed. These are more like "semantic" or "pragmatic" errors.
The following short video provides a clear explanation of this distinction.
How NOT To Use Logical Fallacies (With Examples)
In this clip from his video "How NOT To Use Logical Fallacies," Alex O'Connor clarifies the difference between formal and informal fallacies.
Please watch the section from the distinction. Note how informal fallacies concern the content of an argument, not just its logical structure.
To help organize our exploration, we can group informal fallacies into broad categories. The following diagram gives one common way of classifying them. We will look at examples from each of the major branches.

2. Fallacies of Relevance
These fallacies occur when the premises of an argument are not logically relevant to the conclusion, even though they may seem psychologically relevant.
Straw Man
We begin with the fallacy that is the direct opposite of the Principle of Charity. A straw man argument occurs when you misrepresent, simplify, or distort someone's position to make it easier to attack.
How NOT To Use Logical Fallacies (With Examples)
Let's return to Alex O'Connor's video for a detailed analysis of the straw man fallacy.
Watch his explanation from the straw man fallacy. Pay close attention to his distinction between an intentional straw man and a genuine misunderstanding. Also, notice his example of how pointing out the logical implication of someone's belief is not a straw man. This is a subtle but important point for rigorous argumentation.
Ad Hominem (Argument Against the Person)
This fallacy involves attacking the character, circumstances, or motives of the person making an argument instead of engaging with the substance of the argument itself.
How NOT To Use Logical Fallacies (With Examples)
The next clip from the same video tackles the ad hominem fallacy.
Watch the segment from the ad hominem fallacy. The crucial point here is that an insult is only an ad hominem fallacy if it is used as a reason to dismiss the argument. The form is "You are a bad person, therefore your argument is wrong," not simply "Your argument is wrong, and also you are a bad person."
The Stanford Encyclopedia of Philosophy (SEP) entry on fallacies, which is a great reference text, outlines three common variants of ad hominem:
- Abusive: Direct attack on the person's character.
- Circumstantial: Citing the person's circumstances (e.g., their job) as a reason to dismiss their claims.
- Tu Quoque ("you too"): Dismissing a person's advice or argument because they don't follow it themselves.
Appeal to Emotion (Argumentum ad Misericordiam)
This fallacy occurs when an arguer attempts to support a conclusion by evoking an emotional response (like pity or fear) in the listener, rather than by providing relevant evidence.
How NOT To Use Logical Fallacies (With Examples)
Finally, let's look at the Appeal to Emotion.
Watch this last clip from appeal to emotion. Note the key distinction: it is not a fallacy to simply talk about emotions or things that have emotional weight. The fallacy is committed when emotion is used in place of a valid argument to persuade.
3. Fallacies of Ambiguity
This category includes fallacies that arise from the use of ambiguous or imprecise language.
Equivocation
This fallacy exploits the ambiguity of a word or phrase that has different meanings in different parts of the argument. This shift in meaning breaks the chain of reasoning.
Fallacies - Stanford Encyclopedia of Philosophy
The SEP entry on Fallacies provides a concise definition and a classic example of equivocation.
Please read section 1, point 1, on the fallacy of equivocation. The example provided is famous: The end of life is death. Happiness is the end of life. So, death is happiness. Here, the phrase "end of life" is used to mean "cessation of being" in the first premise and "ultimate purpose" in the second. This ambiguity makes the argument invalid, even though it appears to have a simple A=B, C=A, so C=B structure.
The Berkeley resource on fallacies frames this in a way you might find useful. An equivocation often hides a formal fallacy. For the example All men should have the right to vote. Sally is not a man. Therefore, Sally should not have the right to vote, the error is concealed by the word "man" meaning "human" in one premise and "male" in the other. If we disambiguate the terms, the invalid structure becomes obvious.
4. Fallacies of Presumption
These fallacies involve arguments that depend on a dubious or unstated assumption.
Begging the Question (Petitio Principii)
This is one of the most misunderstood fallacies. It does not mean "to raise the question." Begging the question is a fallacy of presumption where an argument's premises assume the truth of the conclusion, instead of providing independent support for it. This is also known as circular reasoning.
Critical Thinking: The Fallacy of Begging the Question
This video from the channel ReasonIO offers a very clear and precise explanation of what "begging the question" truly means and how to spot it.
Please watch the following segments: The definition: It explains that the fallacy occurs when the basis for a claim is just a restatement of the claim. A crucial clarification: Note carefully that it is not simply making an unstated assumption or leaving a question open, despite popular usage. The structure and flaw: The argument essentially has the form 'X, therefore X', providing no real grounds to accept X if it is in doubt.
For example, the argument "Free speech is important for the state because it is vital for the community that everyone can express their sentiments without restriction" begs the question. The premise is just a rephrasing of the conclusion.
Slippery Slope
This fallacy occurs when an arguer claims that a certain action will inevitably lead to a chain of undesirable events, without providing sufficient evidence that the chain reaction will actually occur.
SticiGui Reasoning and Fallacies
The "Reasoning and Fallacies" text from Berkeley provides a clear explanation and a vivid, exaggerated example of a slippery slope argument.
Please navigate to the section "Fallacies of Evidence" and find the subsection on the Slippery Slope. Read the explanation and the example about the legalization of marijuana. The error lies in assuming that each step in the chain is inevitable (if A then necessarily B), when in reality it is only possible (if A then possibly B).
5. A Quick Review
The following infographic provides a fun and memorable summary of some of the fallacies we've discussed, along with a few others. See if you can identify the error in each robot's argument.

Your Turn: Identify the Fallacy
Let's test your ability to spot these errors. For each argument below, identify the primary informal fallacy being committed.
- "Dr. Evans argues that the new particle accelerator is perfectly safe. But what do you expect from someone whose research funding depends entirely on the project going forward? We can't trust his safety analysis."
- "We must have a law against cloning. If we allow human cloning, it's only a matter of time before we have genetically engineered subspecies, designer babies for the rich, and a complete breakdown of the family unit. It will be the end of society as we know it."
- "The teachings of this spiritual guru are clearly true, because he is an enlightened master. We know he is an enlightened master because he says so, and an enlightened master would never lie."
- "My opponent says we should increase funding for public transportation. I can't believe he wants to take away everyone's cars and force us all onto crowded, inefficient buses. This is an attack on our freedom and personal mobility."
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Answers
- Ad Hominem (Circumstantial): The argument attacks Dr. Evans's circumstances (his funding source) as a reason to reject his analysis, rather than addressing the analysis itself.
- Slippery Slope: It posits a dramatic chain of negative consequences from a single action (allowing cloning) without sufficient evidence that these consequences are inevitable.
- Begging the Question (Circular Reasoning): The argument is circular. The truth of the teachings depends on the guru being enlightened, and the evidence for his enlightenment is his own claim, which is assumed to be true because he is enlightened.
- Straw Man: The opponent's position (increase funding for public transport) is distorted into a much more extreme and unpalatable position (take away all cars) that is easy to attack.
Conclusion
Today we have surveyed the landscape of informal fallacies, learning to identify several common patterns of flawed reasoning. Recognizing these errors is a foundational skill in philosophy, allowing you to critically evaluate arguments and avoid making similar mistakes yourself.
Key Takeaways:
- Informal fallacies are errors in reasoning related to an argument's content, context, or premises, as opposed to formal fallacies, which are errors in its logical structure.
- Fallacies of Relevance like the Straw Man, Ad Hominem, and Appeal to Emotion introduce information that is not logically relevant to the conclusion. Many of these are violations of the Principle of Charity.
- Fallacies of Ambiguity, such as Equivocation, arise from the imprecise use of language, where a term's meaning shifts during an argument.
- Fallacies of Presumption, like Begging the Question and the Slippery Slope, rely on unproven or unwarranted assumptions to reach their conclusions.
Preview of the Next Lesson:
In this lesson, we made an important distinction between formal (structural) and informal (content-based) fallacies. In our next and final lesson of this introductory module, we will explore this distinction more deeply by examining the difference between an argument's formal structure (syntax) and its truth-based content (semantics). This will provide the final piece of conceptual groundwork before we transition into the rigorous world of propositional and predicate logic in Module 2.