Category Archives: logic

The Conjunction Fallacy and the Burden of Proof

11 Thursday Jan 2018

Posted by in atheism, Athesism Christianity, christianity, logic, philosophy, rationality, religion, Uncategorized

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As you know I think the philosophical burden of proof is a notion harmful to clear thinking.  My first post about it was here.  And here is a blog from someone who thinks very much the same way.  Here I will try to score some further points by undercutting common arguments used to support the view that having a burden of proof is helpful.

 

But first some background, what is the conjunction fallacy? Consider this example from Amos Tversky and Daniel Kahneman copied from Wikipedia:
“Linda is 31 years old, single, outspoken, and very bright. She majored in philosophy. As a student, she was deeply concerned with issues of discrimination and social justice, and also participated in anti-nuclear demonstrations.

Which is more probable?

1) Linda is a bank teller.
2) Linda is a bank teller and is active in the feminist movement.”

If you thought 2 was more probable, then you committed this fallacy.  It is a formal fallacy.  And it basically says that the probability of A+B will always lower or equal than the probability of A. As we add conditions the probability can only go down never up.

Why is this tricky to some people? (apparently most people chose option 2) Given the description of Linda many people might think she sounds like a feminist. Moreover, she does not sound like a bank teller. So the first option seems to only have what people think is unlikely.  Even though second option has what seems unlikely it also has what seem likely too. So the second option may seem preferable. But mathematically the second option will never be more likely than the first, because every time the second option holds true the first does as well.

When we add details to a claim the probability tends to drop. The probability that I am in front of my computer now, is greater than the probability that I am now in front of my computer wearing a shirt, which is greater then the probability that I am now in front of my computer wearing a brown shirt. This is just how logic works.  I think many of us know this and build this into our understanding of the world. So what does this have to do with the burden of proof?

If you go to youtube and type in burden of proof the first video to come up will be this one:

Listen to the first 20 seconds.
What is happening?  Well if you notice the person is not just asking whether “something” exists “in space” that we don’t have evidence of and whether we should believe that. Which I tend to think is true. But how would that help his case for “the burden of proof”? Of course it wouldn’t.

So he doesn’t just ask whether a general thing exists.   Instead he gets absurdly detailed with his description.  It is not something we don’t know about somewhere in space but under the surface of Pluto! And it is not just “something” its not even just some form of life, but a walrus. And of course even that is not enough. It is a “tiny” “were” walrus. But not only that it is a “psychic” tiny “wer”walrus. But no only that it is a tiny psychic werewalrus that “sends them psychic messages.” But not only that the messages come “every midnight.” And not only that but it does this while juggling skulls…..

 

Ok. So by now if you understand that fallacy of conjunction then you will know that amount of detail alone will drastically drive down the probability. There is no need to appeal any “burden of proof” to not believe in this creature. The probability is naturally driven down just by understanding the fallacy of conjunction.

It’s amazing that this video received 13,000 likes when it is really just an obvious play on this formal fallacy. Now if you are like me you will see this quite often from atheists. The other day when I said there is no philosophical burden of proof I was asked whether I believe “that there is an imperceptible penguin named “Percival” standing right across the room from me, wearing his imperceptible tuxedo and his imperceptible monocle and his imperceptible derby hat, holding his imperceptible pocket-watch.”

Now I want to point out that the proponents of a burden of proof who use these examples are not themselves committing the conjunction fallacy. But rather they just seem oblivious to its logic. It is the logic that makes the conjunction fallacy a formal fallacy that makes the probability of their examples quite low. So when you see these examples the response is not that they are committing a fallacy. Rather the response is more like yes the conjunction fallacy is indeed a fallacy so the probability of your extremely detailed scenario is low.

If you express doubts about “the philosophical burden of proof” you can expect this sort of thing. They won’t ask whether you can believe there is something somewhere we do not have evidence for. No, they will not even ask whether there is some species of life we have no evidence of yet. Rather they will ask about a particular horse that we have no evidence of. But not just a horse, but a horned horse, but not just a horned horse, but a horned horse with exactly one straight long horn coming out of its head. And often even that won’t be enough the horned horse will have to be pink.

And you might respond explaining this fallacy and ask them whether they believe there is something somewhere he/she does not yet have evidence of. I certainly believe there are things that exist that I have no evidence of. For example there very well may be a particular cricket in the southwest United States that I have no evidence of.

Which brings me to another point here. There is more than just the conjunction fallacy at work here. There are also background beliefs. There are probably crickets in the southwest United States. But when and how did a walrus get to Pluto? (forget the whole juggling psychic were bit)

Perhaps the classic example of this sort of argument is Russel’s Teapot. Russel said:
“ … nobody can prove that there is not between the Earth and Mars a china teapot revolving in an elliptical orbit, but nobody thinks this sufficiently likely to be taken into account in practice. I think the Christian God just as unlikely.”

So again, its not just something in space we don’t have evidence of.  It is something between the Earth and Mars and revolving in an elliptical orbit. It is not just something but a piece of China. And it is not just China but a China teapot. So we can see the logic of  conjunction fallacy at work reducing the probability.

But we also have background beliefs and evidence at work as well. Plantinga wrote:
“Clearly we have a great deal of evidence against teapotism. For example, as far as we know, the only way a teapot could have gotten into orbit around the sun would be if some country with sufficiently developed space-shot capabilities had shot this pot into orbit. No country with such capabilities is sufficiently frivolous to waste its resources by trying to send a teapot into orbit. Furthermore, if some country had done so, it would have been all over the news; we would certainly have heard about it. But we haven’t. And so on. There is plenty of evidence against teapotism.”

Another example might be if I say if we randomly pick a house in a New York suburb will there be three black horses in the Garage? You might say no. One reason would be conjunction fallacy. But also you would have back ground beliefs about what suburban houses likely have in their garage. If I asked does that house have light fixtures in it, well then you might say yes.

So Plantinga brings up evidence. And I think that may be a good way to describe what he is doing. But sometimes there are things that just don’t accord with our background beliefs. Now maybe these background beliefs are rational maybe they are not. Sometimes it may be difficult to completely understand or articulate why a certain claim seems true or untrue. Is there something beyond the known universe? In any case we have far more beliefs than we may even consciously realize.

For example, I never realized I believe plaid cats do not exist until last month. But I suppose I always believed it. (that is I was inclined to act in a way that accorded with the statement “there are no plaid cats”) This may be a sad fact of this kluge we call our brains. But it does not justify erecting some imagined burden of proof.  That is just piling error on top of error. When we consider 1) our background beliefs, 2) evidence and 3) the logic of the conjunction fallacy there is no reason to appeal to the burden of proof.

If you are so inclined I would love it if people would post a link to this blog in the comments of the above youtube video. Perhaps we can get a discussion going and deepen everyone’s understanding of this issue.

Scientific Imperialism:  What is a “fact”?

24 Monday Apr 2017

Posted by in atheism, christianity, logic, philosophy, science, Uncategorized

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I was listening to a BBC report on “The March for Science.”  And I was wondering what message they were trying to convey.  It apparently had a tie in with “earth day” and global warming.  But anyway one of the people interviewed by the BBC said that to them an important message was that a “fact” is something that is verifiable and testable.  Now I have heard this definition by quite a few others who might say it is verifiable by observation etc.   So I thought I would address the problems with that definition in this blog.

Now this may be the way scientists view what a “fact” is but I would say that is a change from what it traditionally means.   Moreover, I think adopting that definition in a more general sense means all facts are scientific facts.  And that is problematic.  I would point out that I have nothing against science and indeed I always had a higher aptitude for science than any other subject.  But I admit being somewhat annoyed by scientists who seem to know nothing other than science telling the world how everything should be.  Science is not the answer to every question.

Now before we go into analyzing her definition. (I will call it the “scientific definition” for simplicity sake).  I would like to give some idea as to a traditional and legal definition of a fact.  So for just a dictionary definition we can see this:

https://www.merriam-webster.com/dictionary/fact

The Blacks Law definition offers this:

“A thing done; an action performed or an incident transpiring; and event or circumstance; an actual occurrence; an actual happening in time or space or an event or mental or physical; that which has taken pace…. A fact is either a state of things, that is, an existence, or a motion , that is, an event.  The quality of being actual; actual existence or occurrence….” (citations omitted)

 

So you can see that the legal definition and the traditional definition have a focus on what actually happened or what actually is the case.  It is not dependent on whether this can be proven or verified or not.    So even if everyone agrees the evidence verifies that Martin Luther said “here I stand, I can do no other” in 1521.    If he did not actually say that then it is not a fact.   In other words facts are not dependent on what we can verify.

 

It was a fact that Jupiter had moons in 1510 just like it was a fact that Jupiter had moons in 1610 after Galileo saw them with his telescope.  If someone in 1510 said it is not a fact that Jupiter has moons, then I would say he got his facts wrong.  Because the moons were actually existing, they in fact existed.

 

To make facts dependent on verification actually makes them subjective.  This is because often what will be a proof (or verification) to one person will not be a proof or verification to another.  What is a proof will depend on what premises each of us accepts. (If you not sure on this check out my earlier blog here: https://trueandreasonable.co/2014/01/11/extra-extra-read-all-about-it-gods-existence-proven/?iframe=true&theme_preview=true)  But I think we all want facts to be objective.  So its unclear that she sees how badly she and others are botching the idea of a fact.

 

But I would point out another issue.  Not because I have a strong view on it, but just because I think it’s interesting.  Typically, in the law, a fact is something that is in the present or in the past.  Future events are not facts.   Some scientists want say certain theories are “facts” – like lets say gravity is a fact.  That might mean different things.  That gravity caused apples to fall in the past is a fact.  That gravity is causing my book to remain on my desk is a fact.  But that gravity will cause my book to stay on my desk tomorrow – is not a fact.  It would seem that is not a fact under any definition.  And in my opinion that is how it should be.  We can say with lots of certainty that certain things will happen in the future.  But they are not facts.

 

The bottom line with all of this is that certain scientists want people to place more importance on scientific views.  So what they co-opt language so they and only they can have “facts” on their side.  Changing what words mean to support your agenda almost always leads to more heat than light.  I like science and appreciate its method, but there is no need to butcher what words mean on its altar.

How Abstract Concepts can be Real

15 Wednesday Jun 2016

Posted by in atheism, Catholic, christianity, logic, metaethics, Morality, philosophy, rationality, Uncategorized

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I have noticed when I talk about abstract concepts such as morality and ask for evidence of them, I am being unclear to some. I don’t mean that morality is a physical thing somewhere that we can find like a moon orbiting Saturn. But I do mean it is real.

If I say I am taller than my daughter I am invoking an abstract concept – tallness. If I say prove tallness “exists in reality” (or provide evidence that tallness exists in reality) as opposed to our minds that might mean different things to different people. Some people would think I mean we must find an actual platonic-like form of tallness that is perfectly tall. That is not what I mean at all.

I think I “really” am taller than my daughter. That is in reality I am taller. The notion of tallness is something like, when I am standing, the highest part of my body is higher than hers (when she is standing) means I am taller than her. This tie in with reality makes the notion that I am taller than my daughter objectively true. It’s not just that I believe it is true. My belief does not make the statement true or false. Reality makes that statement true or false. That is because tallness has a tie in with reality.

Does morality have tie in with reality? If I believe something is wrong does my belief make it wrong? Or does reality determine whether my belief is true or false. The latter is what I mean when I say morality is objectively real. It is not the case that I necessarily think there is some perfectly moral good form (or perfectly evil form) somewhere that we need to find. What I am asking is 1) whether these concepts have a tie in with reality. And 2) if so, how we would know in what ways morality ties in with reality.

I think I answered the first question with respect to tallness. Yes tallness ties in with reality so we can say it is really and objectively true that I am taller than my daughter. What about the second question with respect to tallness? I think we have empirical evidence that I am really taller than my daughter. We can see me standing next to her. Even a blind person would be able to feel if we are standing, and then feel the top of my head relative to the top of her head. So we have empirical evidence of how “tallness” ties in with reality.

But what about “wrongness”? Here it seems we do not have empirical evidence.

Sure we can substitute concepts for “right and wrong” and “good and evil” and then assert that this new word is promoted by such and such conduct. But whenever I see this one of 2 things is always happening. Either they are leaving the new term so vague that it is pretty much vacuous, and thus the “definition” is vacuous. (that which makes us “thrive” or that which brings “happiness” etc.) Or they do in fact put some constraints on the definition and then I have to wonder if that is really good. I gave a hypothetical that approaches one of the latter views here: https://trueandreasonable.co/2014/12/19/a-moral-hypothetical/

In any case, I do think we can have empirical evidence of abstract ideas.  But in the case of morality the the evidence of morality is the evidence for God.  I talk more about that connection here:

https://wordpress.com/stats/insights/trueandreasonable.co

 

Evidence of Objective Moral Realism

10 Tuesday May 2016

Posted by in atheism, Athesism Christianity, Catholic, christianity, logic, metaethics, Morality, philosophy, rationality, Uncategorized

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A fellow blogger and sometime commentator here, Howie, asks some questions for theists.

https://truthiselusive.wordpress.com/2016/04/22/meaningful-sadness/

He wonders what effect would it have on our morals if we suddenly found out God did not exist.  It’s a great question and I found I could spend allot of time answering this.

 

In my response I indicate that “I would highly doubt any objective morality exists in reality, and if it did exist I would not believe we had any reliable way of knowing what it was.”

 

I have blogged extensively about the second part of that statement:

https://trueandreasonable.co/2014/02/24/a-problem-with-the-reliability-of-moral-beliefs/

Here I want to address the first part.  I want to explain why “I would I highly doubt any objective morality exists in reality” if I found out God did not exist.

 

But first, I want to reiterate that I do not think there is any logical inconsistency with atheism and belief in objective morality.   That said I am unaware of any actual evidence that an atheist would have for believing in objective morality.    That is, if we were to know there is no God then all the evidence we have for objective morality goes out the window.   It’s one thing to say objective morality is logically possible, it’s another to say we have some evidence that it is true.

 

To understand my position let’s start with a reverse question for atheists.   Let’s say you suddenly find out that the Christian God exists.  What would that mean for your views on morality?

 

I would think most people would agree that if the Christian God exists, then it’s very likely that objective moral realism is true.    God orchestrated our existence and reality so that we might be ultimately judged and this judgment will be just.  Reality would have been built with this moral feature.

 

From that, it follows that evidence that the Christian creator God exists is also evidence that objective morality is a feature of reality.   The evidence that the Christian God exists would be things like the miracles recorded in scripture.  Again people can debate whether this is strong evidence or weak evidence, and what if any burden of proof there is, but it is “some evidence.”  This also happens to be the only evidence that our objective reality contains moral characteristics. (I don’t mean to exclude other religions that teach of a Creator God who had a hand in creating a moral reality.  So yes evidence for Islam, or Judaism would also be evidence for objective moral realism but here for simplicity sake I am just taking Christianity versus atheism.)   So the logic is exhibit A suggest exhibit B.  Exhibit B Suggests exhibit C.  A = miracles B=Christian God exists and C = Objective moral realism is true.

 

Do we have other evidence that objective morals are actually a feature of reality?  I really don’t think so.  Again because “wrongness” cannot be detected by our 5 senses it seems impossible to have evidence of it outside of testimonial evidence from someone who is not bound by our 5 senses.

 

The fact that we feel strong guttural emotional responses when we see certain “good” or “bad” actions is not, to my mind, evidence that there is actually a real objective truth to moral claims.  However, if something with a supernatural understanding designed us then of course we might think our emotions are properly cued to these real moral truths.

 

So the Christian God existing would be strong evidence that real objective morals would exist.  If we were to eliminate that evidence of objective moral reality existing (Say because we “find out” no God exists) then we are hard pressed to find *any* evidence of objective moral reality.   That’s not to say its logically impossible for objective moral reality to exist without God.  Nonetheless, it would be a huge blow to objective moral realism’s case to lose – exhibit B – the existence of God.