Because

  How to Analyze and Evaluate Ordinary Reasoning

  Weak Reasons and Argument from Ignorance

 G. Randolph Mayes

 Department of Philosophy

 Sacramento State University

 

Weak reasons

 

We have already learned that weak rationales are sometimes the result of weak or unreliable principles.  Weak rationales can also result from weak reasons.  As opposed to principles, which we typically evaluate in terms of their reliability, we evaluate reasons in terms of truth and falsity, more specifically the likelihood  or probability that they are true or false.  In the simplest case, a weak reason is simply a reason that seems very unlikely to be true.  For example:

  • I'm sure Roger won't go to Cecil's house for dinner because Cecil has five cats and Roger is allergic to cats.

The rationale would look like this.

The principle here is quite reliable, but suppose you know that Roger himself owns several cats.  This would give you grounds for doubting that Roger is actually allergic to cats.  Of course it is still possible that he is allergic to cats, and there may be a good explanation why Roger has cats even though he is allergic to them.  (Perhaps Roger is not allergic to the kind of cat he owns or perhaps he keeps the cats outdoors.)  Still, you have quite strong grounds for thinking the reason is unlikely to be true and it would be appropriate to call this a weak reason until further support has been given. 

 

This is the definition of weak reason.

Weak Reason

  • Definition:  Using a reason the truth of which is not sufficiently likely to justify the degree of confidence with which it (or the conclusion it supports) has been expressed.
  • MOI:  Identify the reason in question.  Show why you think the reason is unlikely to be true or at least not likely enough given the degree of confidence with which it has been expressed.

The proper analysis of the above example would be:

Analysis

The reason is weak because it contains the unsupported claim that Roger is allergic to cats.  This reason seems unlikely to be true because Roger owns several cats himself.

Note that we  could not provide such an analysis if we didn't know anything about Roger, and this is typical of weak reason criticisms.  In order to make the criticism effectively you need to provide some basis for doubting the reason.   It's not enough to simply say that the reason has no support. (cf. Argument from Ignorance below.)

Note also that the definition of weak reason is similar to our definition of weak principle in that it makes reference to the degree of confidence with which the reason is expressed.  This is important because reasons that are not highly likely to be true can still be credible enough for a particular context or adequate to provide qualified support for it's conclusion.  For example:

  • Trent: I  parked my car in the driveway yesterday and now it's gone.  I think someone might have stolen it.

This example could be reconstructed as an argument or an explanation.  When we reconstruct it as an explanation, the rationale looks like this.

Notice again that the principle is very  reliable.  Assuming that Trent actually remembers correctly where he last parked his car, you might point out that the reason isn't obviously true because there are other reasons that would explain a missing car.  Perhaps one of his friends borrowed it, or perhaps it was repossessed or impounded.  But unless you have an independent basis for thinking that these other causes are more plausible, you should not criticize Trent's reason as a weak reason in this case, especially since he has only presented it as a hypothesis to explain the fact that the car is missing. 

It's worth noticing here that if we had reconstructed Trent's reasoning as an argument you would have approached the criticism of this rationale differently:

Now you will notice that, while the reason is no longer dubious, the principle is not very reliable.  Since Trent has only said that his car might have been stolen you might think this principle is strong enough for the degree of confidence Trent has expressed in it.  On the other hand, if in claiming that it might have been stolen you understand Trent to be saying that this is the likeliest possibility, it would be reasonable to criticize the principle as weak, since other available principles are stronger (e.g., If object x is missing, then x was misplaced.) 

 

Here is a another straightforward example of a rationale with a weak reason, and it's corresponding analysis.

 

Example 1

  • People ought to take vitamin C regularly because it helps to prevent the common cold.

 

Weak reason

 

The claim that Vitamin C prevents the common cold is a weak reason.  It is a common belief, but in fact there is little scientific evidence in support of it.

Again, if you are a person who incorrectly believes that Vitamin C prevents the common cold, you would not be in a position to provide this analysis.

 

 

Weak reasons in reasoning chains

 

Weak reasons in argument chains

 

With arguments wewill typically  focus a weak reason criticism on the terminal reason in a reasoning chain because that is the reason for which no further support is given.   Weakness in a reason other than a terminal reason can almost always be traced to weakness in the reasons or principles that support it.  For example:

  • I think Roger must have been adopted because according to Roger, his parents treat him much worse than the rest of his siblings.

 

 

This is obviously a very flawed rationale.  The most straightforward criticism to make of it is that P1 is highly unreliable.  You might also claim that R1 is a weak reason.  After all,  the only evidence given for it is Roger's own testimony, who may simply be a wayward child who resents his well-deserved punishment.   Notice, however, that this really turns out to be a criticism of P2.  You are saying that just because a person says something doesn't mean it's true, especially if the person is biased or unreliable.  So the weak reason analysis doesn't really add anything to the weak principle analysis in this case.

 

 

Weak reasons in explanation chains

 

The weak reason criticism works differently  for explanations, because the reasons in explanations are causes, not evidence. Hence, when we say that a reason in an explanation is weak, we are not saying that the rationale requires more causes..  Rather, we are saying that an argument needs to be given that one or more of the causes in question actually occurred.  To see this, consider the following explanation.

 

  • May is mad at her husband Jack because Jack stayed out late with the boys instead of spending time with her, but the funny thing is that Jack stayed out late with the boys because he thought May was mad at him!

 

 

Now suppose you have independent reasons for doubting R1.  Perhaps you drove by their place last night and you're pretty sure you saw May and Jack making out on the porch swing as usual.  This would be a basis for claiming  that R1 is a weak reason.  But note that in this case, to say that R1 is weak is not to say that R2 and P2 together provide insufficient evidence for R1, for they do not  provide  evidence for R1 at all.  To say that R1 is weak is just to say that  it requires evidence, and this is a criticism that can be legitimately brought to bear on any claim in an explanation.

 

 

Weakness stemming from reasons and principles

 

Weakness in a rationale can be due to a combination of weakness of reason and weakness of principle.  In fact, sometimes a rationale can contain a fairly strong principle and a fairly strong reason, yet we will criticize the rationale as weak because, taken together, they do not justify the degree of confidence expressed in the conclusion.

  • Sasha:  I've got news for you girl.  That cute guy over there is really attracted to  you.  He keeps staring over here whenever you're not looking.  I think he's French.

The corresponding rationale might look something like this.

This is the sort of reasoning we have to evaluate on an everyday basis.  You can easily imagine the ensuing conversation.

  • Jess:  How do you know he's staring at me?  Maybe he's staring at you.
  • Sasha:  I don't think so.
  • Jess:  Well, even if he his, that doesn't mean he likes me.  Maybe he's just weird.
  • Sasha:  He doesn't look weird to me.  He's kind of cute.

You will notice that in very short order Jess has exposed both that she does not have high confidence in the reason, and that the principle itself is far from reliable as well.  

When evaluating rationales it is important to understand that the confidence we attach to a conclusion is a multiplicative function of the confidence we attach to the reason and the conclusion. In other words, if Jess were about 80% confident in the reason and regarded the principle to be about 80% reliable, then on the basis of this reasoning she should only be about 64% confident (.8 x .8) in the conclusion.

(If this seems mysterious  to you, an analogy might help.  Suppose you are waiting for someone at the train station and you are wondering whether she will show up on time.  Suppose you think there is about an 80% chance that she caught the train.  If the train is perfectly reliable, then that would mean that there is an 80% chance that she will show up on time.  But if the train itself is only 80% reliable, then the likelihood that she will show up on time is less than 80%.  With some important qualifications we'll ignore for now, the probability that she will end up at the station on time in this case is the product of probability that she will catch the train and the probability that the train will arrive on time or .8 x .8.= .64)

In the case of Jess and the French guy it would be reasonable to give the following analysis.

Weak Reason/Principle

Although the reason "The French guy is staring at Jess" is fairly likely, and the principle "If male x is staring at  female y, then x is attracted to y" is fairly reliable, taken together they do not justify the high degree of confidence with which the conclusion has been expressed.

 

Argument from Ignorance:  Flawed weak reason and weak principle analyses

 

Finally, it is important to realize that reasons and principles may seem weak to us simply because we are uniformed about a subject.  For example, within evolutionary biology it is universally acknowledged that chimpanzees and humans have a recent common ancestor.  This explains why humans and chimps are more physically and genetically similar to each other than they are to other existing species.  Now consider the following rationale:

 

 

Someone who has never studied evolutionary biology or who was raised to believe that humans and animals have completely different origins would understandably be inclined to believe that the reason in this rationale is weak.  Of course, it is not weak at all, it is just that the reason lies outside this person's domain of knowledge. 

 

The tendency for people to dismiss claims because they are unfamiliar with the evidence in favor of them is a logical fallacy called Argument from Ignorance, which may be understood as follows:

Argument from Ignorance

  • Definition:  Attempting to refute (or support) a claim simply by appealing to ones ignorance of any evidence for (or against) it. 
  • MOI: Show how the person attempts to establish a conclusion by appeal to his ignorance of evidence against it.  Then show why his ignorance is not a compelling basis for accepting his conclusion.

Example 1

Steven: Everyone thinks that the Bush administration lied about Iraq having weapons of mass destruction as an excuse to go to war.  But has anyone actually ever proved that Iraq did not have WMD's?  No.  Maybe they disposed of them before we got there or maybe we just haven't found them yet.

Analysis

Steven is attempting to support the claim that Iraq did have weapons of mass destruction by claiming that he is unaware of any proof that Iraq did not have them.  This is not a compelling basis for doubt, however, because the only way to demonstrate the absence of something is to make reasonable but unsuccessful efforts to find it.  It is widely acknowledge that this process has been carried out.

Example 2

 

Juror 1:  In my opinion all of the evidence against the defendant is circumstantial, and very weak circumstantial evidence at that.  There were no eye-witnesses, and the jealousy motive is very speculative.  I think we have to acquit.

 

Juror 5:  Boy we really see things differently.  I agree with most of what you say there, but we are talking about murder here.  An innocent person got killed.  Now this guy has no alibi that anyone else can confirm.  So as I see it, we have no reason to think he didn't do it.  I say we convict.

 

Analysis

 

Juror 5 is arguing that the defendant should not be convicted because the jury is ignorant of any evidence that the defendant did not commit the crime.  But this could be said of many people who did not commit the crime, which is why in the U.S. legal system you are presumed innocent until proven guilty.

 

As Example 2 illustrates, argument from ignorance is related to the idea of the burden of proof.  In a U.S. legal system it is a formal rule that the burden of proof is on the plaintiff, not the defendant.  If this were not the case then we could  just as well argue that Juror 5 has committed an argument from ignorance.  After all, she argues the defendant should be acquitted based on her ignorance of strong evidence that he committed the crime.

 

This point can be brought into sharp focus when you think of people who claim to have supernatural knowledge or abilities :

Chany:  In a previous life I was Abigail Adams, the wife of our second president.  I have many quite distinct memories of my life in the White House.

Fitz: That's pretty interesting since John and Abigail Adams never actually lived in the White House.

Chany:  What? Really?

Fitz:  Actually, they did.  But if you were really Abigail, I guess you would have known that.

Chany:  Not necessarily.  People forget all sorts of things across lives.  Normally there are only a small number of very vivid memories.

Fitz:  Well, I'm quite skeptical. I think your so-called memories are delusions.

Chany: Well, I think your so-called skepticism is narrow-mindedness.  I'm sure I was Abigail Adams, and you can't prove that I wasn't.

Fitz: I don't have to prove it.  You're the one making the unlikely claim, so you have the burden of proof.

The burden of proof is easily established in a case like this, but Fitz's idea that the person making the least likely claim has the burden of proof is a little too simple.  Sometimes, for example, a person may be making a fairly unlikely claim, but one that would have momentous consequences if it were true.  For example it is fairly unlikely that a 7.0 earthquake will hit Sacramento in the next 10 years, but given the consequences, the burden of proof may still be on the person who thinks we should do nothing to prepare for it.

 

In many other cases it is very hard to say who has the burden of proof.  This is especially obviously when we consider arguments of great moral significance where our empirical knowledge is incomplete:

 

  • Tim:  I'm very much opposed to the routine use of genetic screening for every possible abnormality in a developing fetus.  I really think this will lead to screening for all sorts of things that are not abnormalities like sex, height, eye color, athletic ability, beauty, intelligence, you name it.  It will just fundamentally alter the parent-child relationship.  Having a child will be more like buying a custom-made care than making a life-long commitment to a new person.  I can't prove these things will happen, but we have no way of knowing that they won't.

  • Tom:  Well, I agree with you that this might happen, but I don't agree that this would obviously be a catastrophic result.  I mean, just think of how many of today's problems are due to inequalities regarding the sorts of things you are talking about.  Would a world full of healthy, beautiful, intelligent, athletic people really be so much worse than our world?  I can't prove that it would be a better world, but we have no way of knowing that it wouldn't.

Both Tim and Tom here are ultimately arguing from ignorance.  But because it's not clear who has the burden of proof in this case, it would not really be legitimate to accuse either one of them as committing this logical error.