The Logic of Scientific Discovery

Posted by Anti Citizen One on June 6th, 2010

I finished Popper’s book The Logic of Scientific Discovery. I learned more than I expected, even considering I try to keep up with discussions concerning science. He is not concerned with how scientists actually work; this is what he calls the naturalistic approach. Popper addresses the logical and epistemological aspects, for example is a scientific theory true or false? how do we know what we know? and what is the difference between scientific and non-scientific knowledge? This last one is the fundamental question for Popper and is what he calls the “demarcation problem”. All these issues hardly matter to mainstream scientists since they mostly grasp the issues intuitively, at least well enough for practical use. To them, the philosophy of science is as much use as ornithology is to birds. But these issues are useful for distinguishing between science, proto-science, pseudo-science and metaphysics. One common theme I noticed between this book and Open Society (part 1) is Popper’s revisiting many well established areas of knowledge (democracy and science), and after finding their traditional ideas lead to logical problems, he attempts to formulate new definitions or concepts that captures the essence of an idea but makes it more satisfactory to logicians. For example he rejects the argument that democracy attempts to promote freedom by inherently anti-freedom methods and formulates a more satisfactory alternative. I will try to convey some of the ideas about science but I don’t claim to be an expert in this area!

Popper identifies two main views of science: inductivism and falsificationism. Imagine a repeated coin toss which represents a simple repeatable experiment. Let us allow the coin to be special: it can be a fair coin with equal chance with heads or tails, or it could be a trick coin with both sides as heads (or tails), or even a coin which is governed by a mathematical law (say alternate heads and tails). We can look at a historic sequence of coin tosses and try to inductively reason the pattern. I will abbreviate heads as H and tails as T. Here are a few finite length examples:

Pattern 1: HHHHHHHHHH
Pattern 2: HTHTHTHTHT
Pattern 3: THTHTTTTTH

Using inductive logic, we can reason that pattern 1 uses a coin having both sides as heads. Pattern 2 seems to be an alternating heads and tails. Pattern 3 seems to be random and might be consistent with a fair coin toss. But these cannot be said to be true without some doubt (being the problem with inductive reasoning). The larger problem with inductive logic is there are an infinite number of hypothesises that fit the observations. We cannot easily distinguish between these possible hypothesis but people tend to invent heuristic rules, such as “simpler theories are preferred”, but this rule cannot be scientifically justified. Popper observes that inductive reasoning prefers to not go beyond the observed data to make predictions, and asks why bother trying to use inductive reasoning when it is preferable to not make unsubstantiated conjectures at all? “silence is better”. The danger of an infinite number of possible explanations is a theory can be defended by addition of ad-hoc hypothesis. (This is like defending the proposition “there is a dragon in my garage” by adding “it’s an invisible dragon” and “the dragon is silent”.)

Falsificationism is the view advanced by Popper. He claims that only theories that are falsifiable are scientific. He uses the concept “basic statements”, that are inter-subjectively repeatable experimental observations. Basic statements may falsify scientific theories. However if a theory has no possible basic statements that could lead to falsification, it is labelled metaphysical and not scientific. In consequence, a theory can never be “proven” or called “true”. If a theory makes no inter-subjectively testable predictions, it is not scientific. This interestingly allows some physical phenomena to exist but to be non-scientific, as long as they remain untestable. To continue with my “dragon in garage” example, this hypothesis would be disallowed if there we no empirical predictions (even if there really was an invisible dragon). Philosophical naturalists claim that only detectable phenomena are worth consideration (but of course this is not a scientific claim).

One issue for falsificationism is that all three patterns (above) are compatible with the hypothesis of a fair coin toss, because we occasionally get unusual patterns in a random sequence. Getting ten heads in a row has a relatively large probability of 1 in 1024. How can we falsify a statistical prediction? This would take an infinite series of coin tosses to provide falsification, which is impractical. This is discussed in depth by Popper but he uses the fact that repeatable empirical tests have an associated measurement error. He is content to say a statistical prediction can be falsified as long as the difference between prediction and an observation is well below the measurement error. (At least as far as I understand the author.) With both the “verification” and “falsification” being knotty problems, it puts science on a very tentative footing. This is the way it should be.

A side note, not contained in this book, is the falsifiability of evolution and intelligent design (ID). Some have claimed that evolution is not falsifiable, which indicates the speaker is either profoundly uninformed, without a grasp of logic or lacking in intellectual integrity. If people doubt evolution is falsifiable, several explicit possible “basic facts” are listed in Darwin’s Origin of Species that would fatally undermine his idea (more here). The falsification of ID depends on its exact formulation, but in most cases the GLARING logical flaws in the argument make falsification a moot point. (But most versions of ID are un-falsifiable.) These particular issues would be unworthy of consideration in Popper’s book, but he is often mentioned in the modern discussions of ID.

Anyway, I have only scratched the surface here. This book is quite dense, including mathematical proofs and the like. There is an interesting discussion on the issue of corroboration of theory, but again, Popper rules out theories being “true”, we can only go as far as saying “they are consistent with experimental observations”. The concept “truth” is almost a distraction in the epistemology of science, but ironically it is what scientists aim to find.

Anti Citizen One

PS See the Gay Science aph 344

Stuff I’ve Been Doing

Posted by Anti Citizen One on March 26th, 2010

I was going to review Darwin’s Origin of Species, but there is little I can add to the popular perception of it. He does address most of the modern objections, so anyone who talks of “gaps in the fossil record” without bothering to read him are just lazy in not reading his actual point of view or are wilfully ignorant. Refreshingly, he does not pull punches against his own theory and states very clearly the types of evidence that would disprove his point of view – for example, fossils not in the appropriate geological order or a single species originating simultaneously in two distinct areas. Many science writings don’t put the case against their view at all, or at least not as strongly, and properly, as Darwin. He the man.

I was invited to a bible study group, which was interesting as an outsider. They were much less “chapter and verse” than I expected. We discussed “love thy neighbour as thyself” and I made the point that what is meant by “love” is sightly ambiguous – in an interesting way. If it is taken in the “love unconditionally” sense, then it also is a commandment to love thyself unconditionally (and that is a rather big “if”). This might have been a pre-emptive strike against the idea of “total depravity”, but that particular issue did not come up. I decided against expressing Nietzsche’s “be not considerate of thy neighbour! Man is something that must be surpassed” view – that would not have been well received!

I attended the Big Libel Gig, which was a awareness raising, comedy event. It featured a few science writers and several comedians who were critics of alternative medicines and superstition, including Simon Singh who is being sued because he criticised chiropractors. The issue is it costs a vast amount to defend a libel case, even if vindicated and is therefore a way of large organisations to silence their critics. I also saw Brian Cox (for the second time) and Ben Goldacre. The whole event was very “yay for empiricism, science and naturalism” and “boo for alternative medicine”. I was strongly reminded of that world view in a rap song by Baba Brinkman (and is based on a Jay Z song). The video editing is very slick. I don’t normally listen to rap but its a good summary of the main themes.

I have two books by Karl Popper on order. I am looking forward to that. I am bogged down in Capote’s short stories at the moment. I have also been trying to explain the is-ought problem to people but most people just don’t get it. What did I miss? :)

Anti Citizen One

PS Since we are on the topic of ultra-naturalism, and if you prefer folk to rap, you might like this: Creation Science 101

PPS The philosophical issues around evolution are more than adequately covered on talk origins.

Kees van Deemter: The importance of being vague

Posted by Anti Citizen One on March 16th, 2010

Q: Is vagueness anathema to science?

KvD: Put a magnifying glass to many scientific concepts and you find vagueness.

New Scientist

Note to self: subjectivity does not necessarily mean knowledge is impossible…

AC1

Reality Through Values

Posted by Anti Citizen One on February 25th, 2010

I have had a few recent experiences with people cherry picking evidence for arguments and I was interested in reading Dan Kahan view:

“Basically the reason that people react in a close-minded way to information is that the implications of it threaten their values,” says Dan Kahan, a law professor at Yale University and a member of The Cultural Cognition Project.

Kahan says people test new information against their preexisting view of how the world should work.

“If the implication, the outcome, can affirm your values, you think about it in a much more open-minded way,” he says.

And if the information doesn’t, you tend to reject it. NPR

AC1

The Voyage of The Beagle

Posted by Anti Citizen One on January 29th, 2010

I finished The Voyage of The Beagle about Darwin’s early travels. People keep asking me who wrote it – as if all historical figures can only be seen in light of later historians! Well, he wrote it himself based on his personal journal. The trip was probably an inspiration for evolution but at the time, he held more conventional beliefs. The book focuses on observations while sailing and on land expeditions in the southern hemisphere. He discusses a wide variety of social, biological and natural phenomena – this generalist approach to science is refreshing. He occasionally makes positive religious references and comparisons. He feels great patriotic pride at being English and the improvement, as he saw it, of various peoples around the world, primarily through missionary activity. He often makes clear his strong feelings against slavery. A few observations are striking as possible foreshadowing his later work, including:

  • Certain species occur together and never occur separately
  • Certain species are unique to a particular habitat and do not occur in a distant similar habitat
  • Many species are comprised of sub-species
  • Habitats, geology, ground level and climate change in time, sometimes suddenly and sometimes slowly
  • Two nearby places can be completely different habitats
  • Some habitats often have new arrivals of species, others are isolated
  • The vast majority of fossils correspond to extinct species
  • Some species are very rare and are hardly ever seen by humans. (Why would God bother creating that?)
  • Rushing to hasty conclusions is a common mistake

Anyway, a good book there. I also have “Origin” but I will take a rest from biology for a few weeks.

AC1

News Round-up

Posted by Anti Citizen One on November 23rd, 2009

Human rights lawyers reviewed computer games with a war setting.

The group chose games, rather than films, because of their interactivity.

“Thus,” said the report, “the line between the virtual and real experience becomes blurred and the game becomes a simulation of real life situations on the battlefield.” BBC

This key assumption, that actions in games are morally equivalent to actions outside the game is laughably untrue. We don’t see people getting post traumatic stress disorder from computer games. Playing games is nothing like being in a war. Other studies show that gamers are not desensitised to actual war violence (stated later in the article). Therefore, the choices are not the same as those posed outside games. Games are more or less works of fiction and the choices posed to the player are almost forced outcome moral choices, since the player is not acting as “himself”, but as the character created by the game’s script writer.

I was recently hearing about the Australian Prime Minister apologising for the treatment of child migrants. This apology was presumably done on behalf of the institution that he represents i.e. the state. But the state does not feel “regret” since it is merely a concept. Even if the people comprising “the state” feel the actions were wrong, it is the individuals themselves that are responsible, not the state itself – which cannot act or think independently! Unless the individuals themselves were responsible, guilt does not even apply. Although it may cheer the victims of injustice, I am concerned that if we shunt the responsibility (and “guilt”) for wrong actions onto institutions, it diminishes the personal responsibility that each individual bears and transfers in onto a mere concept. In the extreme case, it may lead to the bystander effect, were everyone does nothing to correct injustice because it is “the state’s” responsibility. So I distrust all institutional apologies and think of them as political tools.

In agreement with our favourite existential thinkers, a new study has linked suffering with religiosity:

Gray and Wegner created a state-by-state “suffering index” and found a positive correlation between a state’s relative misery (compared to the rest of the country) and its population’s belief in God. Sciam

That’s all the news that’s fit to print.

Anti Citizen One

My Genes Made Me Do It

Posted by Anti Citizen One on November 9th, 2009

Like something from a Dostoevsky novel, a man found to have a gene linked to aggression has used that fact to get a reduced sentence for murder. This of course is justified if the primary role of criminal justice is to punish the guilty, who make evil choices using free will. But how could we know if we have free will?

On the basis of the genetic tests, Judge Reinotti docked a further year off the defendant’s sentence, arguing that the defendant’s genes “would make him particularly aggressive in stressful situations”. Giving his verdict, Reinotti said he had found the MAOA evidence particularly compelling. Nature

AC1

Policies that ignore the realities of the world…

Posted by Anti Citizen One on November 4th, 2009

Policies that ignore the realities of the world we live in are doomed to fail. This is true for just about all the biggest issues that we confront, from energy and climate to criminal justice, health and immigration. I’m not arguing that science dictate policy; considerations such as cost, practicality and morality also have a role. But scientific evidence should never be brushed aside from the political debate. David Nutt

Clean Smells Promote Moral Behavior, Study Suggests

Posted by Anti Citizen One on October 27th, 2009

People are unconsciously fairer and more generous when they are in clean-smelling environments, according to a soon-to-be published study led by a Brigham Young University professor. ScienceDaily

Rant on The Language of God by Francis Collins

Posted by Anti Citizen One on May 31st, 2009

I started reading Francis Collins’s book but its not going very well. I was interested of a tale of an atheistic scientist that found God. The first argument and apparent centre piece is based on an unusual mix of the meta-ethics, argument from analogy, argument from design, and a bit of the ontological argument. He attributes it to CS Lewis with numerous quotes from his books. (And I thought I was bad with my narrow selection of quotations!) I have outlined the argument in as clear form as I can by separating the two main threads, then I have proceeded to “kick the tires”. It has been a while since I have attempted this type of activity. I am motivated and intrigued by the authors repeated claims of rationality and his previous work as a scientist.

Axioms:
The existence of the concepts of good and evil are accepted by most people.
Humans act in an altruistic manner.
Human altruistic behaviour and the concept of good has not been explained.

‘The argument that most caught my attention, and most rocked my ideas about science and spirit down to their foundations, was right there in the title of Book One: “Right and Wrong as a Clue to the Meaning of the Universe.” [...] Disagreements are part of daily life. [...] each party attempts to appeal to an unstated higher standard. This standard is the Moral Law. [...] Virtually never does the respondent say, “To hell with your concept of right behaviour.” What we have here is very peculiar: the concept of right and wrong appears to be universal among all members of the human species[...]‘

Arguments:
The concept of “good” is analogous to a house that has been designed an architect. The concept of “good” must also have a creator, which is God.
The altruistic actions are analogous to a house that has been designed an architect. The concept of “good” must also have a creator, which is God.

If the Law of Human Nature cannot be explained away as cultural artifact or evolutionary by-product, then how can we account for its presence? There is truly something going on here. Francis Collins

If there was a controlling power outside the universe, it could not show itself to us as one of the facts inside the universe – no more than the architect of a house could actually be a wall or staircase or fireplace in that house. The only way in which we could expect it to show itself would be inside ourselves as an influence or a command trying to get us to behave in a certain way. And that is just what we do find inside ourselves. Surely this ought to arouse our suspicious? C S Lewis

Axioms: The argument relies on the axiom that the concept of good is universal. Unfortunately for this argument, counter examples exist – just look at existential philosophy. If we still use a weakened form of the argument, “most people believe in good”, we end up with an imperfectly universal “Moral Law” and therefore an imperfect designer. If we argue, “those existentialists are just deluding themselves”, the reverse argument is also allowable “the majority of people are deluded about Moral Law”. I don’t think this could be clearer:

My demand of the philosopher is well known: that he take his stand beyond good and evil and treat the illusion of moral judgement as beneath him. This demand follows from an insight that I was the first to articulate: that there are no moral facts. Twilight of the Idols, FN

So much for the universal concept of Moral Law. If only Nietzsche’s demand was more well known…

The other axiom is that people act in an altruistic way. Collins defines altruism as “the truly selfless giving of oneself to others with absolutely no secondary motives”. He cites Oskar Schindler and Mother Teresa as examples. Well I can think of one motivation: religion (they were both Catholic). Also, these individuals decided “they know best” in how to help people in distress. This generalising of a personal morality on to other cases generally seems very selfish to me!

Update: I should distinguish that the belief in a God (irrespective of the validity of belief) is a sufficient explanation in these cases. The existence of God is what Collins uses as the explanation of altruism.

But love your enemies, do good, and lend, expecting nothing in return. Your reward will be great, and you will be children of the Most High; for he is kind to the ungrateful and the wicked. Luke 6:35 (my emphasis)

He wishes to succour, and does not reflect that there is a personal necessity for misfortune; that terror, want, impoverishment, midnight watches, adventures, hazards and mistakes are as necessary to me and to you as their opposites, yea, that, to speak mystically, the path to one’s own heaven always leads through the voluptuousness of one’s own hell. No, he knows nothing thereof. Gay Science Aph 338, FN

Argument from analogy: this is an unsure method of argument more suited to rhetorics. If the cases that are compared are not equal, the analogy does not necessarily hold. We must be particularly careful if we are comparing something like a house to something like “the concept of good”. On what grounds are we to compare “the concept of good” to any physical object, without invoking the characteristic of “design” which would be merely begging the question in that assumes a designer? This great quote from Hume rebuts comparison between the universe and a house but it might be equally applied to comparing a morality and a house.

…the subject in which you are engaged exceeds all human reason and enquiry. Can you pretend to shew any such similarity between the fabric of a house, and the generation of a universe? Have you ever seen nature in any such situation as resembles the first arrangement of the elements? Have worlds ever been formed under your eye; and have you had leisure to observe the whole progress of the phenomenon, from the first appearance of order to its final consummation? If you have, then cite your experience, and deliver your theory. Dialogues Concerning Natural Religion, Hume

Argument from ignorance: In some ways, this argument should have been stated first since it is a simple logically flaw and not easily rebutted. If we don’t know where the concept “good” comes from, we can’t form any conclusion based on what we don’t know. If we allowed this, he might become religious based on an argument from ignorance but when an explanation emerges, is he compelled to renounce God? That would be absurd. This has been discussed many times before as “God of the gaps”.

Since this is an argument from ignorance, I could explain the concept of “good” being caused by extra-terrestrial alien interference. Although I don’t believe that theory, the flimsy supporting evidence is better than Collins’s no evidence whatever (in the context of this argument from ignorance).

Infinite regress: If there is evidence of an “architect”, what created the architect? The architect’s designer presumably. And who created that? And so on. I really can’t be bothered to flesh this out since this objection has been known for hundreds of years.

Some points that I found while flipping though the book:

“This principle [Occham's razor] suggests that the simplest explanation for any given probelms is usually best. Occam’s Razor appears to have been relegated to the Dumpster by the bizarre models of quantum physics.”

This is a straw man of Occam’s razor. Does it only say the “simplest” argument is best? No. It doesn’t. And for a practicing scientist to claim this makes me worry. (If this really is Occam’s razor, the best theory would be “the universe is random, any pattern is a coincidence” and we can stop research since we have the “best” theory.)

“If God is outside of nature, then science can neither prove nor disprove His existence. If God is outside of nature, then science can neither prove nor disprove His existence. Atheism itself must therefore be considered a form of blind faith.”

Nice ad hominem tu quoque. But it is easy to restate this argument to say “religion can neither prove nor disprove his existence” and therefore it is “blind faith”. This refutes his own argument from evidence in one fell swoop. On the other hand, if God is “inside the universe”, science or atheists can comment on God’s existence. Oddly Collins seems to alternate between God being “outside the universe” and yet occasionally intervening in human affairs. Is he a deist or theist? From this quote, I don’t think he knows himself.

An alternative analysis I suggest is that “good” is a product of language to express social norms. Social and community norms exist in humans and other animals. Of the animals, we have the most complicated language – if we use a broad definition of “language”. The short cut to refer to community norms in language is what created the concept “good”. Not a big deal – and certainly no proof of God. My suggestion to Francis Collins: get a copy of Hume’s “Dialogues Concerning Natural Religion” and read it (again, if applicable). I would have liked to have read his ideas on coexistence of science and religion but his first few chapters were so incoherence so I stopped and I don’t think I missed much by not reading on. But apparently he rejects creationism and ID. Perhaps scientists should say away from philosophy? (note to self…)

Anti Citizen One

PS I have less of a beef with religious people who don’t claim rational justification for God. This post obviously does not apply to you. :)


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