The Raven Paradox - How Hempel’s Treatise Questioned the Scientific Process of Inductive Reasoning

Wednesday 14 January 2009

THE RAVEN PARADOX - THE FLAWS IN THE SCIENTIFIC METHOD

HEMPEL’S All use reasoning and at some stage, to create hypotheses and design robust experiments. In a beautiful and elegant treatise, the German philosopher Carl G Hempel, in 1965, showed that there were flaws in these long-established processes. His Raven Paradox called into question the established processes of inductive reasoning, generalization and falsifiability

THE INDUCTIVE HYPOTHESIS Imagine that a scientist, after years of going for long walks in the countryside, observes that every single raven he has ever seen is black. As a dutiful researcher, he uses inductive reasoning to postulate the hypothesis:

“All ravens are black.”

This is a perfectly acceptable conditional hypothesis. , it is testable, because you could sample raven populations and verify that they are all black. The statement is also falsifiable because even one non-black raven amongst the sampled would disprove the hypothesis.

This is all great science, so far, following the established methods of inductive reasoning. The researcher could even design an experiment to sample raven populations, with thousands of ravens observed. If they are all black, the hypothesis is supported and plausible. Over time, repeated experiments and observations further confirm this and the hypothesis becomes accepted as a law.

THE PROBLEM OF GENERALIZATION AND FALSIFIABILITY The first part of the Raven Paradox proposal questions the process of generalization. It is practically impossible to sample every single raven in the world and there may a few non-black individuals. Hempel was not trying to comment upon the exact science, but as an interesting aside, about 1 in 10 000 raven eggs contain partially or fully albino birds.

Most albino birds are more visible to predators, suffer from and may be a localized . The of seeing an albino raven are very small and sightings are extremely rare. A researcher could sample many thousands of Ravens and not see one white bird, even though they do exist.

Thus, the of falsifiability is questioned and undermined by the Raven Paradox. Although the original hypothesis is technically falsifiable, in practical it is very difficult to disprove, because the chances of observing a white Raven are very slim. Even if you sampled the entire known of ravens, there may be an undiscovered group containing a non-black individual.

FLAWS IN THE INDUCTIVE REASONING PROCESS The next part of the Raven Paradox questions the processes of reasoning and deduction that are an integral part of the scientific process. When a researcher states that all ravens are black, the laws of demand that this conditional statement has a contrapositive, statement.

Therefore, according to inductive reasoning, “Everything that is not black is not a raven.” This means that every non-black object observed, that is not a raven, equally strengthens the hypothesis. There are a countless number of non-black objects in the universe and we should pity the poor statistician who has to analyze this!

To take the analogy further, another researcher in another part of world, through fluke, may have only seen one raven in their life, which happened to be white. Their deduced hypothesis may be that “All ravens are white.” Every non-white object, which is not a raven, strengthens this opposing hypothesis too. This is the Raven Paradox.

THE END OF THE SCIENTIFIC PROCESS? What does this paradox mean? Has the world of science come crashing down around our ?

The answer is a resounding NO!

The Raven Paradox is a useful philosophical and helps to ensure that we constantly probe and test the steps of the established scientific processes. The examples given in the paradox are simplistic and unlikely, merely serving as an exercise to test the boundaries of the of science.

In reality, for the vast majority of cases, Hempel’s treatise makes no difference and the normal reasoning and experimental design processes perfectly well. The paradox does not detract from science, but actually enhances it, by preventing from believing that they have proved something beyond .

The Raven Paradox should remind every scientist of the dangers of generalization and that they must ensure that all hypotheses are realistically falsifiable. If the researcher has said, “All ravens in Norway are black”, this is more realistic as ornithologists could feasibly observe every raven in Norway.

PARADIGM SHIFTS Even long-standing theories, which became established as laws and immovable paradigms, can be proved incorrect over time. Science is really all about testing probabilities and . If something has a 99% chance of being correct then it should be accepted as the likely explanation.

The chances of someone seeing only one raven in their life, which happens to be white, are tiny. However, this is not the same as impossible and that possibility must never be ignored. This is why all experiments are rigorously validated and reviewed before gaining widespread acceptance, to minimize the effects of the Raven Paradox.

For example, Newton’s laws were accepted as until Einstein’s theories blew them out of the water. In turn, General Relativity is not the answer to fundamental physics and has been superseded by other theories.

This is how science evolves, by challenging and adapting established paradigms and laws. The creation of Chaos Theory was a perfect example of ‘maverick’ chipping away at the established laws until the theory could no longer be ignored. It eventually burst into the public consciousness and fractal appeared as prints on T-Shirts.

Hempel’s Raven Paradox stands to remind us all that no theory, however established, should be immune to challenge or debate. As new evidence is , science must adapt and change to assimilate the new data.

Martyn lives in the beautiful Peloponnese area of Greece and is absorbing the buried deep within the bones of the land.

He specializes in science and articles.

Please find the at http://www.experiment-resources.com

Martyn’s website is at http://www.amethyst-web.net

Leveraging Free Articles to Increase Affiliate Sales

Wednesday 5 November 2008

There are many ways to increase your affiliate , but one of the most effective is to write or pay for free articles to generate increased and general of your site and product without paying for additional advertising. There are many ways to use these free articles to promote your affiliate product links. However, the most obvious course of action - to place the link within the resource box of the article - will generally not be effective.

The first is that many times can simply replace your affiliate number ID with their own or with someone else’s so that you do not get your commission. The second is that an affiliate link put into your article’s resource box makes you look amateurish to those who read it.

There are, however, many in which you can promote your affiliate products using those free articles:

Build a Resource Directory into Your Website

Add to your website a resource listing including a list of book covers and short reviews of various different and packages that might relate to various web topics. You can create multiple categories in this vein, including topics such as affiliate programs, writing for the web, or through email.

Then you could provide a link in the resource box of your free articles to the website on which you have your reviews and references. Your readers would then visit your directory directly after reading your article.

Create and Offer Free Reports

You can write various free reports or on topics to be distributed as tools in selling your affiliate products. The free report should have about five chapters or so and each chapter should have information included in it that pertains to a specific topic such as the ones listed above; affiliate programs, writing for the web, or through email as examples.

Additionally, include information in each chapter with recommendations as well as the link to your affiliate ID for products that you are promoting that go well with the free report you are offering.

Finally, place a link to your free report or in the resource box of the articles you distribute to free article directories to draw visitors to your book to read and click on those affiliate program links.

Create Custom Affiliate Links in a Free

There are many who will create and provide free and trial issues of that you can then customize the affiliate links within. By creating a free directory of these with custom links in them, you can offer a wide of free content that links back to your affiliate ID. Then you would like to the directory of free from the resource box of your free article.

Using the Resource Box to Gather to a Newsletter

Another good way to use your resource box is to gather to an opt in page where they would sign up for your free newsletter in which you would then place affiliate program IDs and links that would ensure you get your commission. This is a very popular method and is often used.

If you utilize the resource box properly in conjunction with the free articles you submit to directories, you can vastly increase the volume of chances in which you can actively engage the that read those articles.

: http://www.anthonyvicenza.com/wordpress/affiliate-marketing/free-articles-increase-affiliate-sales.html

Anthony Vicenza is a professional affiliate . He now provides free to wanna-be internet entrepreneurs at http://www.AnthonyVicenza.com.