841 lines
33 KiB
Plaintext
841 lines
33 KiB
Plaintext
From solano.community.net!uunet!pipex!mantis!mantis!not-for-mail Thu Aug 25 10:22:00 1994
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Path: solano.community.net!uunet!pipex!mantis!mantis!not-for-mail
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From: mathew <mathew@mantis.co.uk>
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Newsgroups: alt.atheism,alt.atheism.moderated,news.answers,alt.answers
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Subject: Alt.Atheism FAQ: Constructing a Logical Argument
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Supersedes: <logic_774694802@news.mantis.co.uk>
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Followup-To: alt.atheism
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Date: 18 Aug 1994 10:00:24 +0100
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Organization: Mantis Consultants, Cambridge. UK.
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Lines: 817
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Approved: news-answers-request@mit.edu
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Expires: 29 Sep 1994 09:00:04 GMT
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Message-ID: <logic_777200404@news.mantis.co.uk>
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References: <overview_777200404@news.mantis.co.uk> <quick-index_776768403@news.mantis.co.uk> <intro_775731602@news.mantis.co.uk> <faq_776336403@news.mantis.co.uk>
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NNTP-Posting-Host: sunforest.mantis.co.uk
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Mime-Version: 1.0
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Content-Type: text/plain; charset=iso-8859-1
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Content-Transfer-Encoding: 8bit
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Summary: Includes a list of logical fallacies
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Keywords: FAQ, atheism, argument, fallacies, logic
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Xref: solano.community.net alt.atheism:125584 alt.atheism.moderated:4888 news.answers:27036 alt.answers:3998
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Archive-name: atheism/logic
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Alt-atheism-archive-name: logic
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Last-modified: 3 June 1994
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Version: 2.0
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-----BEGIN PGP SIGNED MESSAGE-----
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CONSTRUCTING A LOGICAL ARGUMENT
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Introduction
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There is a great deal of argument on Usenet. Unfortunately, most of it
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is of very poor quality. This document attempts to provide a gentle
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introduction to logic, in the hope of improving the general level of
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debate.
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Logic is the science of reasoning, proof, thinking, or inference
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[Concise OED]. Logic allows us to analyze a piece of reasoning, and
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determine whether it is correct or not. To use the technical terms, we
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determine whether the reasoning is valid or invalid.
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One does not need to study logic in order to reason correctly.
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However, a little basic knowledge of logic is often helpful when
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constructing or analyzing an argument.
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Note that I am not claiming that logic is universally applicable. That
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issue is very much open to debate. This document only explains how to
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use logic; you must decide whether logic is the right tool for the
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job.
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Note also that this document deals only with simple boolean logic.
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Other sorts of mathematical logic, such as fuzzy logic, obey different
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rules. When people talk of logical arguments, though, they generally
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mean the type being described here.
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Basic concepts
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The building blocks of a logical argument are propositions, also
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called statements. A proposition is a statement which is either true
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or false; for example:
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"The first programmable computer was built in Cambridge."
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"Dogs cannot see colour."
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"Berlin is the capital of Germany."
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Propositions may be either asserted (said to be true) or denied (said
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to be false). Note that this is a technical meaning of "deny", not the
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everyday meaning.
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The proposition is the meaning of the statement, not the particular
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arrangement of words used. So "A God exists" and "There exists a God"
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both express the same proposition.
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What is an argument?
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An argument is, to quote the Monty Python sketch, "a connected series
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of statements to establish a definite proposition". There are three
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stages to an argument: Premises, inference, and conclusion.
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STAGE ONE: PREMISES
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One or more propositions will be are necessary for the argument to
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continue. They must be stated explicitly. They are called the premises
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of the argument. They are the evidence (or reasons) for accepting the
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argument and its conclusions.
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Premises (or assertions) are often indicated by phrases such as
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"because", "since", "obviously" and so on.
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(The phrase "obviously" is often viewed with suspicion, as it can be
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used to intimidate others into accepting dubious premises. If
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something doesn't seem obvious to you, don't be afraid to question it.
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You can always say "Oh, yes, you're right, it is obvious" when you've
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heard the explanation.)
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STAGE TWO: INFERENCE
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The premises of the argument are used to obtain further propositions.
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This process is known as inference. In inference, we start with one or
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more propositions which have been accepted. We then derive a new
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proposition. There are various forms of valid inference.
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The propositions arrived at by inference may then be used in further
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inference. Inference is often denoted by phrases such as "implies
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that" or "therefore".
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STAGE THREE: CONCLUSION
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Finally, we arrive at the conclusion of the argument, another
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proposition. The conclusion is often stated as the final stage of
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inference. It is affirmed on the basis the original premises, and the
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inference from them. Conclusions are often indicated by phrases such
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as "therefore", "it follows that", "we conclude" and so on.
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Types of argument
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There are two traditional types of argument, deductive and inductive.
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A deductive argument provides conclusive proof of its conclusions; if
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the premises are true, the conclusion must also be true. A deductive
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argument is either valid or invalid.
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A valid argument is defined as one where if the premises are true,
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then the conclusion is true.
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An inductive argument is one where the premises provide some evidence
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for the truth of the conclusion. Inductive arguments are not valid or
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invalid, but we can talk about whether they are better or worse than
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other arguments. We can also discuss how probable their premises are.
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There are forms of argument in ordinary language which are neither
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deductive nor inductive. However, this document concentrates on
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deductive arguments, as they are often viewed as the most rigorous and
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convincing.
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Here is an example of a deductive argument:
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* Every event has a cause (premise)
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* The universe has a beginning (premise)
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* All beginnings involve an event (premise)
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* This implies that the beginning of the universe involved an event
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(inference)
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* Therefore the universe has a cause (inference and conclusion)
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Note that the conclusion of one argument might be a premise in another
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argument. A proposition can only be called a premise or a conclusion
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with respect to a particular argument; the terms do not make sense in
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isolation.
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Recognizing an argument
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Sometimes an argument will not follow the order described above. For
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instance, the conclusions might be stated first, and the premises
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stated afterwards in support of the conclusion. This is perfectly
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valid, if sometimes a little confusing.
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Arguments are harder to recognize than premises or conclusions. Many
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people shower their writing with assertions without ever producing
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anything which one might reasonably describe as an argument. Some
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statements look like arguments, but are not.
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For example:
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"If the Bible is accurate, Jesus must either have been insane, an
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evil liar, or the Son of God."
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The above is not an argument, it is a conditional statement. It does
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not assert the premises which are necessary to support what appears to
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be its conclusion. (Even if we add the assertions, it still suffers
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from a number of other logical flaws -- see the section on this
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argument in "Alt.Atheism Frequently Asked Questions".)
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Another example:
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"God created you; therefore do your duty to God."
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The phrase "do your duty to God" is neither true nor false. Therefore
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it is not a proposition, and the sentence is not an argument.
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Causality is important. Suppose we are trying to argue that there is
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something wrong with the engine of a car. Consider two statements of
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the form "A because B". The first statement:
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"My car will not start because there is something wrong with the
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engine."
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The statement is not an argument for there being something wrong with
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the engine; it is an explanation of why the car will not start. We are
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explaining A, using B as the explanation. We cannot argue from A to B
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using a statement of the form "A because B".
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However, we can argue from B to A using such a statement. Consider:
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"There must be something wrong with the engine of my car, because it
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will not start."
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Here we are arguing for A, offering B as evidence. The statement "A
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because B" is then an argument.
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To make the difference clear, note that "A because B" is equivalent to
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"B therefore A". The two statements then become:
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"There is something wrong with the engine, therefore my car will not
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start."
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And:
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"My car will not start, therefore there is something wrong with the
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engine."
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If we remember that we are supposed to be arguing that there is
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something wrong with the engine, it is clear that only the second
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statement is a valid argument.
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Implication in detail
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There is one very important thing to remember: The fact that a
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deductive argument is valid does not imply that its conclusion holds.
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This is because of the slightly counter-intuitive nature of
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implication, which we must now consider more carefully.
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Obviously a valid argument can consist of true propositions. However,
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an argument may be entirely valid even if it contains only false
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propositions.
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For example:
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* All insects have wings (premise)
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* Woodlice are insects (premise)
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* Therefore woodlice have wings (conclusion)
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Here, the conclusion is not true because the argument's premises are
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false. If the argument's premises were true, however, the conclusion
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would be true. The argument is thus entirely valid.
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More subtly, we can reach a true conclusion from one or more false
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premises, as in:
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* All fish live in the sea (premise)
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* Dolphins are fish (premise)
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* Therefore dolphins live in the sea (conclusion)
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However, the one thing we cannot do is reach a false conclusion
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through valid inference from true premises.
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We can therefore draw up a "truth table" for implication. The symbol
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"=>" denotes implication; "A" is the premise, "B" the conclusion. "T"
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and "F" represent true and false respectively.
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Premise Conclusion Inference
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A B A=>B
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----------------------------
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F F T
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F T T
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-- If the premises are false and the inference valid, the conclusion
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can be true or false.
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T F F
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-- If the premises are true and the conclusion false, the inference
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must be invalid.
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T T T
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-- If the premises are true and the inference valid, the conclusion
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must be true.
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A sound argument is a valid argument whose premises are true. A sound
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argument therefore arrives at a true conclusion. Be careful not to
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confuse sound arguments with valid arguments.
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Of course, we can criticize more than the mere soundness of an
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argument. In everyday life, arguments are almost always presented with
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some specific purpose in mind. As well as criticizing the argument
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itself, one can criticize the apparent intent of the argument. Such
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criticism is outside the scope of this document, however!
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Further reading
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For a readable introduction to logic, try Flew's "Thinking Straight",
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listed in the atheist resources document. The document also lists
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LOGIC-L, a LISTSERV mailing list devoted to discussing the teaching of
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elementary logic.
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_________________________________________________________________
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Fallacies
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To delve further into the structure of logical arguments would require
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lengthy discussion of linguistics and philosophy. It is simpler and
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probably more useful to summarize the major pitfalls to be avoided
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when constructing an argument. These pitfalls are known as fallacies.
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In everyday English the term "fallacy" is used to refer to mistaken
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beliefs as well as to the faulty reasoning that leads to those
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beliefs. This is fair enough, but in logic the term is generally used
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to refer to a form of technically incorrect argument, especially if
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the argument appears valid or convincing.
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So for the purposes of this discussion, we define a fallacy as a
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logical argument which appears to be correct, but which can be seen to
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be incorrect when examined more closely. By studying fallacies we aim
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to avoid being misled by them.
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Below is a list of some common fallacies, and also some rhetorical
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devices often used in debate. The list is not intended to be
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exhaustive.
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ARGUMENTUM AD BACULUM / APPEAL TO FORCE
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The Appeal to Force is committed when the arguer resorts to force or
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the threat of force in order to try and push the acceptance of a
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conclusion. It is often used by politicians, and can be summarized as
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"might makes right". The force threatened need not be a direct threat
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from the arguer.
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For example:
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"... Thus there is ample proof of the truth of the Bible. All those
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who refuse to accept that truth will burn in Hell."
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ARGUMENTUM AD HOMINEM
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Argumentum ad Hominem is literally "argument directed at the man".
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The Abusive variety of Argumentum ad Hominem occurs when, instead of
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trying to disprove the truth of an assertion, the arguer attacks the
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person or people making the assertion. This is invalid because the
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truth of an assertion does not depend upon the goodness of those
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asserting it.
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For example:
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"Atheism is an evil philosophy. It is practised by Communists and
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murderers."
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Sometimes in a court of law doubt is cast upon the testimony of a
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witness by showing, for example, that he is a known perjurer. This is
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a valid way of reducing the credibility of the testimony given by the
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witness, and not Argumentum ad Hominem; however, it does not
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demonstrate that the witness's testimony is false. To conclude
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otherwise is to fall victim of the Argumentum ad Ignorantiam.
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The circumstantial form of Argumentum ad Hominem is committed when a
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person argues that his opponent ought to accept the truth of an
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assertion because of the opponent's particular circumstances. For
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example:
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"It is perfectly acceptable to kill animals for food. How can you
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argue otherwise when you're quite happy to wear leather shoes?"
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This is an abusive charge of inconsistency, used as an excuse for
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dismissing the opponent's argument.
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This fallacy can also be used as a means of rejecting a conclusion.
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For example:
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"Of course you would argue that positive discrimination is a bad
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thing. You're white."
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This particular form of Argumentum ad Hominem, when one alleges that
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one's adversary is rationalizing a conclusion formed from selfish
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interests, is also known as "poisoning the well".
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ARGUMENTUM AD IGNORANTIAM
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Argumentum ad ignorantiam means "argument from ignorance". This
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fallacy occurs whenever it is argued that something must be true
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simply because it has not been proved false. Or, equivalently, when it
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is argued that something must be false because it has not been proved
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true. (Note that this is not the same as assuming that something is
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false until it has been proved true, a basic scientific principle.)
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Examples:
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"Of course the Bible is true. Nobody can prove otherwise."
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"Of course telepathy and other psychic phenomena do not exist.
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Nobody has shown any proof that they are real."
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Note that this fallacy does not apply in a court of law, where one is
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generally assumed innocent until proven guilty.
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Also, in scientific investigation if it is known that an event would
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produce certain evidence of its having occurred, the absence of such
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evidence can validly be used to infer that the event did not occur.
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For example:
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"A flood as described in the Bible would require an enormous volume
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of water to be present on the earth. The earth does not have a tenth
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as much water, even if we count that which is frozen into ice at the
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poles. Therefore no such flood occurred."
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In science, we can validly assume from lack of evidence that something
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has not occurred. We cannot conclude with certainty that it has not
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occurred, however. See also Shifting the Burden of Proof
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ARGUMENTUM AD MISERICORDIAM
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This is the Appeal to Pity, also known as Special Pleading. The
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fallacy is committed when the arguer appeals to pity for the sake of
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getting a conclusion accepted. For example:
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"I did not murder my mother and father with an axe. Please don't
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find me guilty; I'm suffering enough through being an orphan."
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ARGUMENTUM AD POPULUM
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This is known as Appealing to the Gallery, or Appealing to the People.
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To commit this fallacy is to attempt to win acceptance of an assertion
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by appealing to a large group of people. This form of fallacy is often
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characterized by emotive language. For example:
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"Pornography must be banned. It is violence against women."
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"The Bible must be true. Millions of people know that it is. Are you
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trying to tell them that they are all mistaken fools?"
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ARGUMENTUM AD NUMERUM
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This fallacy is closely related to the argumentum ad populum. It
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consists of asserting that the more people who support or believe a
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proposition, the more likely it is that that proposition is correct.
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ARGUMENTUM AD VERECUNDIAM
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The Appeal to Authority uses the admiration of the famous to try and
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win support for an assertion. For example:
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"Isaac Newton was a genius and he believed in God."
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This line of argument is not always completely bogus; for example,
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reference to an admitted authority in a particular field may be
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relevant to a discussion of that subject. For example, we can
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distinguish quite clearly between:
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"Hawking has concluded that black holes give off radiation"
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and
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"Penrose has concluded that it is impossible to build an intelligent
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computer"
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Hawking is a physicist, and so we can reasonably expect his opinions
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on black hole radiation to be informed. Penrose is a mathematician, so
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it is questionable whether he is well-qualified to speak on the
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subject of machine intelligence.
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THE FALLACY OF ACCIDENT
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The Fallacy of Accident is committed when a general rule is applied to
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a particular case whose "accidental" circumstances mean that the rule
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is inapplicable. It is the error made when one goes from the general
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to the specific. For example:
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"Christians generally dislike atheists. You are a Christian, so you
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must dislike atheists."
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This fallacy is often committed by moralists and legalists who try to
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decide every moral and legal question by mechanically applying general
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rules.
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CONVERSE ACCIDENT / HASTY GENERALIZATION
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This fallacy is the reverse of the Fallacy of Accident. It occurs when
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one forms a general rule by examining only a few specific cases which
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are not representative of all possible cases. For example:
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"Jim Bakker was an insincere Christian. Therefore all Christians are
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insincere."
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SWEEPING GENERALIZATION / DICTO SIMPLICITER
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A sweeping generalization occurs when a general rule is applied to a
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particular situation in which the features of that particular
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situation render the rule inapplicable. A sweeping generalization is
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the opposite of a hasty generalization.
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NON CAUSA PRO CAUSA / POST HOC ERGO PROPTER HOC
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These are known as False Cause fallacies.
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The fallacy of Non Causa Pro Causa occurs when one identifies
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something as the cause of an event but it has not actually been shown
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to be the cause. For example:
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"I took an aspirin and prayed to God, and my headache disappeared.
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So God cured me of the headache."
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The fallacy of Post Hoc Ergo Propter Hoc occurs when something is
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assumed to be the cause of an event merely because it happened before
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the event. For example:
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"The Soviet Union collapsed after taking up atheism. Therefore we
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must avoid atheism for the same reasons."
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CUM HOC ERGO PROPTER HOC
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This fallacy is similar to Post Hoc Ergo Propter Hoc. It asserts that
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because two events occur together, they must be causally related, and
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leaves no room for other factors that may be the cause(s) of the
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events.
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PETITIO PRINCIPII / BEGGING THE QUESTION
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This fallacy occurs when the premises are at least as questionable as
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the conclusion reached.
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CIRCULUS IN DEMONSTRANDO
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This fallacy occurs when one assumes as a premise the conclusion which
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one wishes to reach. Often, the proposition will be rephrased so that
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the fallacy appears to be a valid argument. For example:
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|
"Homosexuals must not be allowed to hold government office. Hence
|
|
any government official who is revealed to be a homosexual will lose
|
|
his job. Therefore homosexuals will do anything to hide their
|
|
secret, and will be open to blackmail. Therefore homosexuals cannot
|
|
be allowed to hold government office."
|
|
|
|
Note that the argument is entirely circular; the premise is the same
|
|
as the conclusion. An argument like the above has actually been cited
|
|
as the reason for the British Secret Services' official ban on
|
|
homosexual employees. Another example is the classic:
|
|
|
|
"We know that God exists because the Bible tells us so. And we know
|
|
that the Bible is true because it is the word of God."
|
|
|
|
COMPLEX QUESTION / FALLACY OF INTERROGATION / FALLACY OF PRESUPPOSITION
|
|
|
|
This is the interrogative form of Begging the Question. One example is
|
|
the classic loaded question:
|
|
|
|
"Have you stopped beating your wife?"
|
|
|
|
The question presupposes a definite answer to another question which
|
|
has not even been asked. This trick is often used by lawyers in
|
|
cross-examination, when they ask questions like:
|
|
|
|
"Where did you hide the money you stole?"
|
|
|
|
Similarly, politicians often ask loaded questions such as:
|
|
|
|
"How long will this EC interference in our affairs be allowed to
|
|
continue?"
|
|
|
|
or
|
|
|
|
"Does the Chancellor plan two more years of ruinous privatization?"
|
|
|
|
Another form of this fallacy is to ask for an explanation of something
|
|
which is untrue or not yet established.
|
|
|
|
IGNORATIO ELENCHI
|
|
|
|
The fallacy of Irrelevant Conclusion consists of claiming that an
|
|
argument supports a particular conclusion when it is actually
|
|
logically nothing to do with that conclusion.
|
|
|
|
For example, a Christian may begin by saying that he will argue that
|
|
the teachings of Christianity are undoubtably true. If he then argues
|
|
at length that Christianity is of great help to many people, no matter
|
|
how well he argues he will not have shown that Christian teachings are
|
|
true.
|
|
|
|
Sadly, such fallacious arguments are often successful because they
|
|
arouse emotions which cause others to view the supposed conclusion in
|
|
a more favourable light.
|
|
|
|
EQUIVOCATION / FALLACY OF FOUR TERMS
|
|
|
|
Equivocation occurs when a key word is used with two or more different
|
|
meanings in the same argument. For example:
|
|
|
|
"What could be more affordable than free software? But to make sure
|
|
that it remains free, that users can do what they like with it, we
|
|
must place a license on it to make sure that will always be freely
|
|
redistributable."
|
|
|
|
AMPHIBOLY
|
|
|
|
Amphiboly occurs when the premises used in an argument are ambiguous
|
|
because of careless or ungrammatical phrasing.
|
|
|
|
ACCENT
|
|
|
|
Accent is another form of fallacy through shifting meaning. In this
|
|
case, the meaning is changed by altering which parts of a statement
|
|
are emphasized. For example, consider:
|
|
|
|
"We should not speak ill of our friends"
|
|
|
|
and
|
|
|
|
"We should not speak ill of our friends"
|
|
|
|
FALLACIES OF COMPOSITION
|
|
|
|
One Fallacy of Composition is to conclude that a property shared by
|
|
the parts of something must apply to the whole. For example:
|
|
|
|
"The bicycle is made entirely of low mass components, and is
|
|
therefore very lightweight."
|
|
|
|
The other Fallacy of Composition is to conclude that a property of a
|
|
number of individual items is shared by a collection of those items.
|
|
For example:
|
|
|
|
"A car uses less petrol and causes less pollution than a bus.
|
|
Therefore cars are less environmentally damaging than buses."
|
|
|
|
FALLACY OF DIVISION
|
|
|
|
The fallacy of division is the opposite of the Fallacy of Composition.
|
|
Like its opposite, it exists in two varieties. The first is to assume
|
|
that a property of some thing must apply to its parts. For example:
|
|
|
|
"You are studying at a rich college. Therefore you must be rich."
|
|
|
|
The other is to assume that a property of a collection of items is
|
|
shared by each item. For example:
|
|
|
|
"Ants can destroy a tree. Therefore this ant can destroy a tree."
|
|
|
|
THE SLIPPERY SLOPE ARGUMENT
|
|
|
|
This argument states that should one event occur, so will other
|
|
harmful events. There is no proof made that the harmful events are
|
|
caused by the first event.
|
|
|
|
For example:
|
|
|
|
"If we legalize marijuana, then we would have to legalize crack and
|
|
heroin and we'll have a nation full of drug-addicts on welfare.
|
|
Therefore we cannot legalize marijuana."
|
|
|
|
"A IS BASED ON B" FALLACIES / "...IS A TYPE OF..." FALLACIES / FALLACY OF THE
|
|
UNDISTRIBUTED MIDDLE
|
|
|
|
These fallacies occur when one attempts to argue that things are in
|
|
some way similar without actually specifying in what way they are
|
|
similar. Examples:
|
|
|
|
"Isn't history based upon faith? If so, then isn't the Bible also a
|
|
form of history?"
|
|
|
|
"Islam is based on faith, Christianity is based on faith, so isn't
|
|
Islam a form of Christianity?"
|
|
|
|
"Cats are a form of animal based on carbon chemistry, dogs are a
|
|
form of animal based on carbon chemistry, so aren't dogs a form of
|
|
cat?"
|
|
|
|
AFFIRMATION OF THE CONSEQUENT
|
|
|
|
This fallacy is an argument of the form "A implies B, B is true,
|
|
therefore A is true". To understand why it is a fallacy, examine the
|
|
truth table for implication given earlier.
|
|
|
|
DENIAL OF THE ANTECEDENT
|
|
|
|
This fallacy is an argument of the form "A implies B, A is false,
|
|
therefore B is false". The truth table for implication makes it clear
|
|
why this is a fallacy. Note that this fallacy is different from Non
|
|
Causa Pro Causa. The latter has the form "A implies B, A is false,
|
|
therefore B is false", where A does not in fact imply B at all.
|
|
Here, the problem is not that the implication is invalid; rather it is
|
|
that the falseness of A does not allow us to deduce anything about B.
|
|
|
|
CONVERTING A CONDITIONAL
|
|
|
|
This fallacy is an argument of the form "If A then B, therefore if B
|
|
then A".
|
|
|
|
ARGUMENTUM AD ANTIQUITATEM
|
|
|
|
This is the fallacy of asserting that something is right or good
|
|
simply because it is old, or because "that's the way it's always
|
|
been."
|
|
|
|
ARGUMENTUM AD NOVITATEM
|
|
|
|
This is the opposite of the Argumentum ad Antiquitatem; it is the
|
|
fallacy of asserting that something is more correct simply because it
|
|
is new or newer than something else.
|
|
|
|
ARGUMENTUM AD CRUMENAM
|
|
|
|
The fallacy of believing that money is a criterion of correctness;
|
|
that those with more money are more likely to be right.
|
|
|
|
ARGUMENTUM AD LAZARUM
|
|
|
|
The fallacy of assuming that because someone is poor he or she is
|
|
sounder or more virtuous than one who is wealthier. This fallacy is
|
|
the opposite of the argumentum ad crumenam.
|
|
|
|
ARGUMENTUM AD NAUSEAM
|
|
|
|
This is the incorrect belief that an assertion is more likely to be
|
|
true the more often it is heard. An "argumentum ad nauseam" is one
|
|
that employs constant repetition in asserting something.
|
|
|
|
BIFURCATION
|
|
|
|
Also referred to as the "black and white" fallacy, bifurcation occurs
|
|
when one presents a situation as having only two alternatives, where
|
|
in fact other alternatives exist or can exist.
|
|
|
|
PLURIUM INTERROGATIONUM / MANY QUESTIONS
|
|
|
|
This fallacy occurs when a questioner demands a simple answer to a
|
|
complex question.
|
|
|
|
NON SEQUITUR
|
|
|
|
A non-sequitur is an argument where the conclusion is drawn from
|
|
premises which are not logically connected with it.
|
|
|
|
RED HERRING
|
|
|
|
This fallacy is committed when irrelevant material is introduced to
|
|
the issue being discussed, so that everyone's attention is diverted
|
|
away from the points being made, towards a different conclusion.
|
|
|
|
REIFICATION / HYPOSTATIZATION
|
|
|
|
Reification occurs when an abstract concept is treated as a concrete
|
|
thing.
|
|
|
|
SHIFTING THE BURDEN OF PROOF
|
|
|
|
The burden of proof is always on the person making an assertion or
|
|
proposition. Shifting the burden of proof, a special case of
|
|
Argumentum ad Ignorantiam, is the fallacy of putting the burden of
|
|
proof on the person who denies or questions the assertion being made.
|
|
The source of the fallacy is the assumption that something is true
|
|
unless proven otherwise. For further discussion of this idea, see the
|
|
"Introduction to Atheism" document.
|
|
|
|
STRAW MAN
|
|
|
|
The straw man fallacy is to misrepresent someone else's position so
|
|
that it can be attacked more easily, then to knock down that
|
|
misrepresented position, then to conclude that the original position
|
|
has been demolished. It is a fallacy because it fails to deal with the
|
|
actual arguments that have been made.
|
|
|
|
THE EXTENDED ANALOGY
|
|
|
|
The fallacy of the Extended Analogy often occurs when some suggested
|
|
general rule is being argued over. The fallacy is to assume that
|
|
mentioning two different situations, in an argument about a general
|
|
rule, constitutes a claim that those situations are analogous to each
|
|
other.
|
|
|
|
This fallacy is best explained using a real example from a debate
|
|
about anti-cryptography legislation:
|
|
|
|
"I believe it is always wrong to oppose the law by breaking it."
|
|
|
|
"Such a position is odious: it implies that you would not have
|
|
supported Martin Luther King."
|
|
|
|
"Are you saying that cryptography legislation is as important as the
|
|
struggle for Black liberation? How dare you!"
|
|
|
|
TU QUOQUE
|
|
|
|
This is the famous "you too" fallacy. It occurs when an action is
|
|
argued to be acceptable because the other party has performed it. For
|
|
instance:
|
|
|
|
"You're just being randomly abusive."
|
|
|
|
"So? You've been abusive too."
|
|
|
|
This is a personal attack, and is therefore a special case of
|
|
Argumentum ad Hominem.
|
|
|
|
AUDIATUR ET ALTERA PARS
|
|
|
|
Often, people will argue from assumptions which they do not bother to
|
|
state. The principle of Audiatur et Altera Pars is that all of the
|
|
premises of an argument should be stated explicitly. It is not
|
|
strictly a fallacy to fail to state all of one's assumptions; however,
|
|
it is often viewed with suspicion.
|
|
|
|
AD HOC
|
|
|
|
There is a difference between argument and explanation. If we're
|
|
interested in establishing A, and B is offered as evidence, the
|
|
statement "A because B" is an argument. If we're trying to establish
|
|
the truth of B, then "A because B" is not an argument, it is an
|
|
explanation.
|
|
|
|
The Ad Hoc fallacy is to give an after-the-fact explanation which does
|
|
not apply to other situations. Often this ad hoc explanation will be
|
|
dressed up to look like an argument. For example, if we assume that
|
|
God treats all people equally, then the following is an ad hoc
|
|
explanation:
|
|
|
|
"I was healed from cancer."
|
|
|
|
"Praise the Lord, then. He is your healer."
|
|
|
|
"So, will He heal others who have cancer?"
|
|
|
|
"Er... The ways of God are mysterious."
|
|
|
|
ARGUMENTUM AD LOGICAM
|
|
|
|
This is the "fallacy fallacy" of arguing that a proposition is false
|
|
merely on the grounds that it has been presented as the conclusion of
|
|
a fallacious argument. Remember always that fallacious arguments can
|
|
arrive at true conclusions.
|
|
|
|
mathew
|
|
<mathew@mantis.co.uk>
|
|
|
|
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For information about PGP, send a blank mail message to pgpinfo@mantis.co.uk.
|
|
|
|
--
|
|
http://www.mantis.co.uk/~mathew/
|
|
Seeking: Bug-tracking systems for UNIX, DOS and Windows which aren't GNATS.
|
|
Information on Uniplex e-mail. Information on construction of
|
|
housing using geodesic domes. Reasonably priced recumbant bikes.
|
|
|