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Introduction to Argument
Structure
Whether we are consciously aware of it or not, our arguments all
follow a certain basic structure. They begin with one or more
premises, which are the facts that the argument takes for granted
as the starting point. Then a principle of logic is applied in order
to come to a conclusion. This structure is often illustrated
symbolically with the following example:
Premise 1: If A = B, Premise 2: and B = C Logical connection:
Then (apply principle of equivalence) Conclusion: A = C
In order for an argument to be considered valid the logical form
of the argument must be valid as well. It must work in a valid
way. A valid argument is one in which, if the premises are true,
then the conclusion must be true also. However, if one or more premise is false then a valid logical argument may still lead to a
false conclusion. A sound argument is one in which the logic is
valid and the premises are true, in which case the conclusion
must be true.
Also it is important to note that an argument may use wrong
information, or faulty logic to reach a conclusion that happens to be true. An invalid or unsound argument does not necessarily
prove the conclusion false. Demonstrating that an argument is
not valid or not sound, however, removes it as support for the
truth of the conclusion. It means that the conclusion is not
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necessarily true because it is not supported by the argument
which is faulty.
Breaking down an argument into its components is a very usefulexercise, for it enables us to examine both our own arguments
and those of others and critically analyze them for validity. This
is an excellent way of sharpening one’s thinking, avoiding biases
and making effective arguments.
Examine your Premises
As stated above, in order for an argument to be sound all of its
premises must be true. Often, different people come to different
conclusions because they are starting with different premises.
So examining all the premises of each argument is a good place
to start.
There are three types of potential problems with premises. The
first, and most obvious, is that a premise can be wrong. If oneargues, for example, that evolutionary theory is false because
there are no transitional fossils, that argument is unsound
because the premise no transitional fossils is false. In fact there
are copious transitional fossils.
Another type of premise error occurs when one or more
premises is an unwarranted assumption. The premise may or may not be true, but it has not been established sufficiently to
serve as a premise for an argument. Identifying all the
assumptions upon which an argument is dependent is often the
most critical step in analyzing an argument. Frequently,
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different conclusions are arrived at because of differing
assumptions.
Often people will choose the assumptions that best fit theconclusion they prefer. In fact, psychological experiments show
that most people start with conclusions they desire, then reverse
engineer arguments to support them, a process called
rationalization.
One way to resolve the problem of using assumptions as
premises is to carefully identify and disclose those assumptions
up front. Such arguments are often called “hypothetical,” or
prefaced with the statement “Let’s assume for the sake of
argument”. If two people examine their arguments and realize
they are using different assumptions as premises, then at least
they can “agree to disagree.” They will realize that their
disagreement cannot be resolved until more information is
available to clarify which assumptions are more likely to be
correct.
The third type of premise difficulty is the most insidious: the
hidden premise. I have seen this listed as a logical fallacy called
the unstated major premise, but it is more accurate to consider it
here. Obviously, if a disagreement is based upon a hidden
premise, then the disagreement will be irresolvable. So when
coming to an impasse in resolving differences, it is a good ideato go back and see if there are any implied premises that have
not been addressed.
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Let’s go back to the transitional fossil example again. Why is it
that scientists believe we have many transitional fossils and
creationists or intelligent design proponents believe that we do
not? This would seem to be a straightforward factual claimeasily resolvable by checking the evidence. Sometimes
creationists are simply ignorant of the evidence or are being
intellectually dishonest. However, the more sophisticated are
fully aware of the fossil evidence and use a hidden premise to
deny the existence of transitional fossils.
When a paleontologist speaks of “transitional” fossils, they are
referring to species that occupy a space morphologically
between two known species. This may be a common ancestor,
in which case the transitional fossil will be more ancient than
both descendant species; or it can be temporally between two
species, the descendant of one and the ancestor of the other. But
in reality we often do not know if the transitional species is an
actual ancestor or just closely related to the true ancestor.
Because evolution is a bushy process, and not linear, most of thespecimens we find will lie on an evolutionary side branch (an
uncle rather than a parent). But if they fill a morphological gap
in known species, they provide evidence of an evolutionary
connection, and therefore qualify as transitional. For example,
archaeopteryx may not be on the direct path to modern birds, but
clearly they occupy a space that is transitional between therapod
dinosaurs and modern birds and one of their close relatives is adirect ancestor to modern birds.
When those who deny evolution say there are no transitional
fossils to support evolutionary changes, their unstated major
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premise is that they are employing a different definition of
transitional than is generally accepted among scientists. They
typically define transitional as some impossible monster with
half-formed and useless structures or they may definetransitional as only those fossils for which there is independent
proof of it being a true ancestor, rather than simply closely
related to a direct ancestor. This sets an impossible standard!
Another hidden premise in their argument is the notion of how
many transitional fossils there should be in the fossil record. An
arbitrarily high number can be established to claim that there are
not enough.
Introduction to Logical Fallacies
Even when all of the premises of an argument are reliably true,
the argument may still be invalid if the logic employed is not
legitimate or incorporates a so-called logical fallacy. The human
brain is a marvelous machine with capabilities that still
outperform the most powerful of super computers. Our brainshowever, do not appear to have evolved specifically for precise
logic. There are many common logical pitfalls that our minds
tend to fall into, unless we are consciously aware of these
pitfalls and make efforts to avoid them.
Heuristics
Humans also tend to use logical short-cuts, called heuristics.
These are thought processes that are not strictly valid in their
logic, but are true most of the time and therefore are a useful
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rule-of-thumb as to what is likely to be true. But they may get us
into trouble when they substitute for valid logic.
Also because, as stated above, there is a tendency to start withdesired conclusions and then construct arguments to support
them, many people will happily draw upon logical fallacies to
make their arguments. In fact, if a conclusion is not true one
they must either employ a false premise or a logical fallacy in
order to construct an argument that leads to that conclusion.
Remember, a sound argument (one with true premises and valid
logic) cannot lead to a false conclusion. So in order to avoid
using logical fallacies to construct invalid arguments, we need to
understand how to identify fallacious logic.
Below I will list the most common logical fallacies, with
examples of each.
On the Internet, I have found many lists of logical fallacies, and
they tend to differ along the “lumper vs splitter” spectrum.Many fallacies are really just specific subtypes of a more general
fallacy. They are useful because they help us be aware of the
many varieties of faulty arguments. Here I have attempted a
condensation by listing the main types of fallacies and giving
examples of subtypes where appropriate.
Although this article began as a brief list of logical fallacies, ithas been expanded for your information, and will likely continue
to grow.
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Ad hominem
An ad hominem argument is any that attempts to counter
another’s claims or conclusions by attacking the person, rather than addressing the argument itself. True believers will often
commit this fallacy by countering the arguments of skeptics by
stating that skeptics are closed minded. Skeptics, on the other
hand, may fall into the trap of dismissing the claims of UFO
believers by stating that people who believe in UFO’s are crazy
or stupid.
A common form of this fallacy is also frequently present in the
arguments of conspiracy theorists (who often rely heavily on
post-hoc reasoning). For example, they may argue that the
government must be lying because they are corrupt. They often
start with specific examples and then over generalize or they
may start with general or frequent examples and apply them
wrongly to specific cases.
It should be noted that simply calling someone a name or
otherwise making an ad hominem attack is not in itself a logical
fallacy. It is only a fallacy to claim that an argument is wrong
because of a negative attribute of someone making the
argument. (i.e. “George is a jerk.” is not a fallacy. “George is
wrong because he is a jerk.” is a logical fallacy.)
The term “poisoning the well” also refers to a form of ad
hominem fallacy. This is an attempt to discredit the argument of
another by implying that they possess an unsavory trait, or that
they are affiliated with other beliefs or people that are wrong or
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unpopular. A common form of this also has its own name –
Godwin’s Law or the reductio ad Hitlerum. This refers to an
attempt at poisoning the well by drawing an analogy between
another’s position and Hitler or the Nazis.
We might get into difficulty when we try to give or take advice
regarding an individual or organization. For example, “George
has a history of lying, cheating, using drugs and dishonest
business practices. Therefore be careful when doing business
with George”.
Ad ignorantiam
The argument from ignorance basically states that a specific
belief is true because we don’t know that it isn’t true. Defenders
of extrasensory perception, for example, will often emphasize
how much we do not know about the human brain. It is
therefore possible, they argue, that the brain may be capable of
transmitting or receiving at a distance. This may or may not betrue, but this is a poor supporting argument.
UFO proponents are probably the most frequent violators of this
fallacy. Almost all UFO eyewitness evidence is ultimately an
argument from ignorance. Lights or objects sighted in the sky
are unknown, and therefore they are alien spacecraft.
Intelligent design is almost entirely based upon this fallacy. The
core argument for intelligent design is that there are biological
structures that have not been well explained by evolution,
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therefore a powerful intelligent designer must have created
them.
In order to make a positive claim, however, positive evidencefor the specific claim must be presented. The absence of another
explanation only means that we do not know, it really does not
mean we get to make up a specific explanation and substitute it
for observed facts.
Argument from Authority/Appeal to Authority
The basic structure of such arguments is as follows: Professor X
believes A, Professor X speaks from authority, therefore A is
true. Often this argument is implied by emphasizing the many
years of experience, or the formal degrees held by the individual
making a specific claim. The converse of this argument is
sometimes used, that someone does not possess authority, and
therefore their claims must be false. (This may also be
considered an ad-hominen logical fallacy – see below.)
In practice this can be a complex logical fallacy to deal with. It
is legitimate to consider the training and experience of an
individual when examining their assessment of a particular
claim. Also, a consensus of scientific opinion does carry some
legitimate authority. But it is still possible for highly educated
individuals, and a broad consensus to be wrong. Speaking fromauthority does not make a claim true.
This logical fallacy crops up in more subtle ways also. For
example, UFO proponents have argued that UFO sightings by
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airline pilots should be given special weight because pilots are
trained observers, are reliable characters and are trained not to
panic in emergencies. In essence, they are arguing that we
should trust the pilot’s authority as an eye witness.
There are many subtypes of the argument from authority,
essentially referring to the implied source of authority. A
common example is the argument ad populum, a belief must be
true because it is popular, essentially assuming the authority of
the masses. Another example is the argument from antiquity, a
belief has been around for a long time and therefore must be
true.
Argument from Final Consequences
Such arguments (also called teleological) are based on a reversal
of cause and effect, because they argue that something is caused
by the ultimate effect that it has, or purpose that is serves.
Creationists have argued, for example that evolution must bewrong because if it were true it would lead to immorality,
devalue human life and a disregard for God.
One type of teleological argument is the argument from design.
For example, the universe has all the properties necessary to
support life, therefore it was designed specifically to support life
and therefore had a designer.
Argument from Personal Incredulity
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I cannot explain or understand this, therefore it cannot be true.
Creationists are fond of arguing that they cannot imagine the
complexity of life resulting from blind evolution, but that does
not mean life did not evolve.
Begging the Question
The term “begging the question” is often misused to mean
“raises the question”, and common use will likely change or at
least add this new definition. However, the intended meaning is
to assume a conclusion in one’s question. This is similar to
circular reasoning, and an opponent is trying to slip a conclusion
into the premise or question, but it is not the same as circular
reasoning because the question being begged can be a separate
point. Whereas with circular reasoning the premise and
conclusion are the same.
The classic example of begging the question is to ask someone if
they have stopped beating their wife yet. Of course, thequestion assumes that they beat their wife. Do you have your
drinking under control?
In a recent appearance on a TV show an MD was asked the
following question. What are alternative medicine skeptics
(termed “holdouts”) afraid of? This is a double feature of
begging the question. By using the term “holdout” the questionassumes that acceptance is already becoming the majority
position and is inevitable. Also, the questioner begged the
question that skeptics are “afraid”. This also created a straw
man (see below) of the physicians position, which is actually
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based on a dedication to reasonable standards of science and
evidence.
Confusing Association with Causation
This is similar to the post-hoc fallacy in that it assumes cause
and effect for two variables simply because they occur together.
This fallacy is often used to give a statistical correlation a causal
interpretation. For example, during the 1990’s both religious
attendance and illegal drug use have been on the rise. It would
be a fallacy to conclude therefore that religious attendance
causes illegal drug use. It is also possible that drug use leads to
an increase in religious attendance, or that both drug use and
religious attendance are increased by a third variable, such as an
increase in societal unrest. It is also possible that both variables
are independent of one another, and it is mere coincidence that
they are both increasing at the same time.
This fallacy, however, has a tendency to be abused, or appliedinappropriately, to deny all statistical evidence. In fact this
constitutes a logical fallacy in itself, the denial of causation.
This abuse takes two basic forms. The first is to deny the
significance of correlations that are demonstrated with
prospective controlled data, such as would be acquired during a
clinical experiment. The problem with assuming cause and
effect from mere correlation is not that a causal relationship isimpossible, it’s just that there are other variables that must be
considered and not ruled out a-priori. A controlled trial,
however, by its design attempts to control for as many variables
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as possible in order to maximize the probability that a positive
correlation is in fact due to a causation.
Further, even with purely epidemiological or statistical evidenceit is still possible to build a strong scientific case for a specific
cause. The way to do this is to look at multiple independent
correlations to see if they all point to the same causal
relationship. For example, it was observed that cigarette
smoking correlates with getting lung cancer. The tobacco
industry, invoking the “correlation is not causation” logical
fallacy, argued that this did not prove causation. They offered as
an alternate explanation “factor x”, a third variable that causes
both smoking and lung cancer. But we can make predictions
based upon the smoking causes cancer hypothesis. If this is the
correct causal relationship, then duration of smoking should
correlate with cancer risk, quitting smoking should decrease
cancer risk, smoking unfiltered cigarettes should have a higher
cancer risk than filtered cigarettes, etc. If all of these
correlations turn out to be true (which they are), then we can point to the smoking causes cancer hypothesis as the most likely
possible causal relationship and it is not a logical fallacy to
conclude from this evidence that smoking probably causes lung
cancer.
Confusing the Currently Unexplained with Unexplainable
Because we do not currently have an adequate explanation for a
phenomenon does not mean that it is forever unexplainable, or
that it therefore defies the laws of nature or requires a
paranormal explanation. An example of this is the "God of the
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Gaps" strategy of creationists that whatever we cannot currently
explain is unexplainable and was therefore an act of god.
False Analogy
Analogies are very useful as they allow us to draw lessons from
the familiar and apply them to the unfamiliar. “Life is like a box
of chocolate, you never know what you’re going to get”.
A false analogy is an argument based upon an assumed
similarity between two things, people or situations when in fact
the two things being compared are not similar in the manner
invoked. Saying that the probability of a complex organism
evolving by chance is the same as a tornado ripping through a
junkyard and creating a 747 by chance is a false analogy.
Evolution does not work by chance but is the non-random
accumulation of favorable changes.
Creationists also make the analogy between life and your home,invoking the notion of thermodynamics or entropy. Over time
your home will become messy, and things will start to break
down. The house does not spontaneously become more clean or
in better repair.
The false analogy here is that a home is an inanimate collection
of objects. Whereas a living system uses energy to grow andreproduce. The addition of energy to a living system allows for
a local reduction in entropy and for evolution to happen.
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inheritance). This fallacy assumes that something’s current
utility is dictated by and constrained by its historical utility. This
is easily demonstrated with word usage. A words current use
may be entirely unrelated to its etymological origins. For example, if I use the term “sunset” or “sunrise” I am not
implying belief in a geocentric cosmology in which the sun
revolves about the Earth and literally “rises” and “sets.”
Inconsistency
Applying criteria or rules to one belief, claim, argument, or
position but not to others. For example, some consumer
advocates argue that we need stronger regulation of prescription
drugs to ensure their safety and effectiveness, but at the same
time argue that medicinal herbs should be sold with no
regulation for either safety or effectiveness.
No True Scotsman
This fallacy is a form of circular reasoning, in that it attempts to
include a conclusion about something in the very definition of
the word itself. It is therefore also a semantic argument.
The term comes from the example: If Connor claims that all
Scotsman are brave, and you provide a counter example of a
Scotsman who is clearly a coward, Connor might respond,"Well, then, he's no true Scotsman." In essence Connor claims
that all Scotsman are brave by including bravery in the
definition of what it is to be a Scotsman. This argument does not
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establish facts or new information, and is limited to Connors
definition of the word, "Scotsman."
Non-Sequitur
In Latin this term translates to "doesn't follow". This refers to an
argument in which the conclusion does not necessarily follow
from the premises. In other words, a logical connection is
implied where none exists.
Post-hoc ergo propter hoc
This fallacy follows the basic format of: A preceded B, therefore
A caused B, and therefore assumes cause and effect for two
events just because they are temporally related (the latin
translates to "after this, therefore because of this").
Reductio ad absurdum
In formal logic, the reductio ad absurdum is a legitimate
argument. It follows the form that if the premises are assumed to
be true it necessarily leads to an absurd (false) conclusion and
therefore one or more premises must be false. The term is now
often used to refer to the abuse of this style of argument, by
stretching the logic in order to force an absurd conclusion. For
example a UFO enthusiast once argued that if I am skepticalabout the existence of alien visitors, I must also be skeptical of
the existence of the Great Wall of China, since I have not
personally seen either. This is a false reductio ad absurdum
because he is ignoring evidence other than personal eyewitness
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evidence, and also logical inference. In short, being skeptical of
UFOs does not require rejecting the existence of the Great Wall.
Slippery Slope
This logical fallacy is the argument that a position is not
consistent or tenable because accepting the position means that
the extreme of the position must also be accepted. But moderate
positions do not necessarily lead down the slippery slope to the
extreme.
Special pleading, or ad-hoc reasoning
This is a subtle fallacy which is often difficult to recognize. In
essence, it is the arbitrary introduction of new elements into an
argument in order to fix them so that they appear valid. A goodexample of this is the ad-hoc dismissal of negative test results.
This fallacy is often taken to ridiculous extremes, and more and
more bizarre ad hoc elements are added to explain experimental
failures or logical inconsistencies. Experimentalists need to be
especially careful of this problem, especially when surrogate
endpoints are used. Experimental design is very important even
in fields that seem straight forward such as chemistry. Politicaland economic arguments are often predicated on ad-hoc
reasoning
Straw Man
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A straw man argument attempts to counter a position by
attacking a different position, usually one that is easier to
counter. The arguer invents a caricature of his opponent’s position, a “straw man” that is easily refuted, but not the
position that his opponent actually holds.
For example, defenders of alternative medicine often argue that
skeptics refuse to accept their claims because they conflict with
their world-view. If “Western” science cannot explain how a
treatment works, then it is dismissed out-of-hand. If you read
skeptical treatment of so-called “alternative” modalities,
however, you will find the skeptical position much more
nuanced than that.
Claims are not a-priori dismissed because they are not currently
explained by science. Rather, in some cases like homeopathy
there is a vast body of scientific knowledge that says that
homeopathy is not possible. Having an unknown mechanism isnot the same thing as demonstrably impossible (at least as best
as modern science can tell). Skeptical treatments of homeopathy
often thoroughly review the clinical evidence. Even when the
question of mechanism is put aside, the evidence shows that for
the most part strictly homeopathic remedies are
indistinguishable from placebo. This does not mean that
Homeopathic practitioners have not made valuable observationsand contributions, just that there is no real scientific basis to the
core premise of their therapeutic model.
Tautology
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Tautology in formal logic refers to a statement that must be true
in every interpretation by its very construction. In rhetorical
logic, it is an argument that utilizes circular reasoning, whichmeans that the conclusion is also its own premise. Typically the
premise is simply restated in the conclusion, without adding
additional information or clarification. The structure of such
arguments is A=B therefore A=B, although the premise and
conclusion might be formulated differently so it is not
immediately apparent as such. For example, saying that
therapeutic touch works because it manipulates the life force is a
tautology because the definition of therapeutic touch is the
alleged manipulation of the life force.
The Fallacy Fallacy
As I mentioned near the beginning of this article, just because
someone invokes an unsound argument for a conclusion, that
does not necessarily mean the conclusion is false. A conclusionmay happen to be true even if an argument used to support is is
not sound. For example I may argue, Clinton is a Democrat
because the sky is blue, which is an obvious non-sequitur.
Nevertheless the conclusion that Clinton is a Democrat is still
true.
Related to this, and common in the comments sections of blogs,is the position that because some random person on the internet
is unable to defend a position well, that the position is therefore
false. All that has really been demonstrated is that the one
person in question cannot adequately defend their position.
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This is especially relevant when the question is highly scientific,
technical or requires specialized knowledge. A non-expert likely
does not have the knowledge at their fingertips to counter anelaborate, but unscientific argument against an accepted science.
“If you (a lay person) cannot explain to me,” the argument
frequently goes, “exactly how this science works, then it is
false.”
Such explanations are often better handled by actual experts.
And, in fact, intellectual honesty requires that at least an attempt
should be made to find the best evidence and arguments for a
position, articulated by those with recognized expertise, and then
account for those arguments before a claim is dismissed. It is
intellectually dishonest for those who demand such an
explanation to become impatient with the detailed explanation
that follows.
The Moving Goal/Moving the Goal
A method of denial that arbitrarily moves the criteria for “proof”
or acceptance out of range of whatever evidence currently exists.
If new evidence comes to light meeting the prior criteria, the
goal is pushed further back, thus keeping it out of range of the
new evidence. Sometimes impossible criteria are set up at the
start, thereby moving the goal impossibly out of range for the purpose of denying an undesirable conclusion.
Tu quoque
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Literally, you too. This is an attempt to justify wrong action
because someone else also does it. "My evidence may be
invalid, but so is yours."
Logical Fallacies and Political Persuasion
The study of the use of fallacies in the speech of politicians and
salesmen is in itself an important area of discussion and comes
under the heading of the “Art of Persuasion”. This subject goes
back to ancient times and was well discussed by the Romans. It
remains an important area of study today especially with the
expanded ambient nature of persuasive media.
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