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

Are You in Debt - This Article Will Change Your Life For Ever

Monday 24 November 2008

Within just a few weeks it will transform your life; No more or , you will be happy and life will be fun again.

This is NOT a get rich scheme (SORRY THERE IS NO FORMULA).

(STOP NOW- do not use to your , no more no more . (You are going to be a only person) stop giving away you hard earn , once you are clear of and turned the corner you can then re- on becoming wealthy. The facts are you have NO option you MUST clear your debts, if you fail the consequents are on your , your car reclaimed by the HP Company, court orders, .)(SORRY but that is the hard ).

Quote from the course:

Nevertheless, that will NOT happen to you because you are going to implement the recovery plan that we will set out for you.

Are you in ? we receive many e-mails asking if an internet, e-commerce can transform into wealth. We cannot that, to start any takes commitment, you must be focused and have a plan, set key objectives. You also need to have time to develop your new .

If you are in , you are often under pressure from your , stressed. First consider you priorities:-

- Would you like to pay off your ?
- Would you like to pay off your , and ?
- Follow our plan, clear your debts, and become financially independent. (THEN you can move to the how to become wealthy).
- You cannot wish to pay off your debts; you need the commitment and the WILL to make it happen, which will require changes to the way you your and your .

Create a new future, turn into wealth:

:

1. Step one make the commitment.
2. Actions that will move your into the black.
3. Golden rules to
4. your status.
5. Were you ever taught how your ?
6. makes , your key objective to get free.
7. Why do we fall into the card trap?
8. Those must go. ( crazy)
9. You must operate on a only basis. ( you will quickly see the , it is amazing the extra it creates)
10. HP the monthly payments that cause you and .
11. Now you have the mind set to pay off ALL your debts.
12. Manage your spending. ( buying will your plan right out of the water)
13. Being in can be due to bad luck; however, it is far more likely to be our own fault, failing to manage our .

The , NEVER spend above your means, which includes , over spending on , , holidays, entertainment, drinking, smoking.

Evaluate you , YOUR OBJECTIVE to clear all debts, have in the , plan to make and ensure a new future. Eliminate , , and . happiness and wealth is NOT just a dream. YOU CAN DO and YOU MUST DO IT. (Develop that mind set believe in yourself, do it for your family and for your well being and health).
We have set the scenario, now we take one- and make it happen.

Above all, you must be honest, with your assessments; you must also be realistic, DO not set impossible .

Step one make the commitment

You are about to take the most important step to clearing your debts and achieving wealth.

1. I am totally committed to following the in this manual, I will make changes in and the way I manage my , necessary to achieve my main objective build a free and wealthy future.

2. In order to plan your systematic recovery and transform into wealth we need to put our on the table, hide nothing, be honest and complete the following .
Please complete the following .

It will provide the status of your position. (sorry in this format the table forms do not , it is better if you are working with the correct forms/ tables ( read on once you are committed to giving it your best shot. you can go to our web page and see the FREE course complete with forms)

No Answer the following questions ( only) Yes or No YES NO

1 Do you carry you card balance over each month
2 Do you have more than three that on the upper limit
3 Do you ever use one card to pay debts or pay off other
4 Do you only pay the on each month,
5 Have you reach your maxim limits on all your
6 Are you are struggling to even make the minimum payments
7 Do you have more than 10 years to pay on your
8 Do you have your car on a agreement
9 Have you taken out a second to pay off debts
10 Are you planning to buy a
11 Do you have , over drafts
12 Do you have store to purchase goods
13 Are you living beyond your means, struggling every month
14 Have you ever had your services turned off for non payment
15 Is the and causing
16 Is the having an impact on your family
17 Have you tried to find ways of earning more
18 Are you under extreme pressure from your
19 Are you considering
20 Are you in trouble with the or society

Now we the decisive moment.

Total all the “YES” numbers

If you scored, 4-0

Not too much to about we can soon have you on the way the wealth and happiness.

If you scored, 8-5

You need to your spending and on your options to make .

If you scored, 13-9

You are managing to pay your way; you earn the then have to pay it to your (). You need to concentrate on reducing your debts by controlling you excessive spending. Implement our payment scheme so you have spare to invest, use you income and spare to generate wealth.

If you scored, 17-14

You are on the ragged edge, struggling to pay your way, urgent action is required to stem to flow of outgoing , consider every penny you spend do you really need to buy new or have that expensive evening out. on channeling the saved to pay off debits, the debts that are costing you and pay them off. Once you see the , your recovery will gain momentum.

IF you are 20-18

You are clearly deep in , you must be unhappy worried and stressed which will effect your well being and health.

We will help you get back on track, however it will take commitment by you and all the members of your family and you need to cut your spending. Put a plan into place to pay off the most pressing debts. NOW you need the WILL to implement the we will give you. (Think new future better life no or , security) Make this commitment get out of , to change your . This is the hard task. Do that and then you can look forward to a new future?

Learn from my mistakes:

Speaking from experience, I went to university attained a MBA you would think that I have developed the self- to monitor my spending and invest my wisely. NO! I did not I was spending more than I was earning , , holidays, living on my for a few years I had a high old life.

For nearly three years, I continue to buy. Then I started robbing Peter to Pay Paul using one card to pay of another, transferring balances, taking out . WOW, I had spiraled deep into . Under pressure from all the , could not , each month all my already committed to , outgoing much higher than my income.

OK it was my fault silly girl who over spent. Why was I such a fool? Well we all want . We associate fast , designer , with happiness. And fall into the trap of the media and the , to the offers of and .

I cannot recall any of my family or tutors teaching me the importance of being in of affairs.

Now there are hundreds of ways in which we can fall into , I was a miss - guided fool. With many, it is bad luck, ill health, out of , family problems. They wanted the best for their children.

The objective is to the status, then formulate a plan transform into wealth.

1. Spending and management.
2. What to do with our ( in / out)
3. Make changes, plan a new life.
4. Learn how to invest , or develop a .
5. Consider the future, and .

First, we will talk about the positive aspects of life and future. We all dream of winning the lottery, becoming over night. (It will not happen) The fact is if you do spend £10 per week on the lottery or the football pools. That is £520 pounds a year, invested weekly with compounding interest at 8% would provide you a substantial amount of by the time you are 65 years old - depending on the number of years. On average for most it would be well over £500,000.
Most of us will earn well over a million pounds in our life time, for example if you earn £30,000 for 40 years that is £1,200,000.

However, the sad fact is most have no idea how to save or invest , they give all they earn to , , , and is hard-earned forever. (Crazy but true).

If you are living on than you are giving away a high percentage of your , that, you could be and being paid interest.

STOP NOW- do not use to your , no more no more . (You are going to be a only person) stop giving away you hard earn , once you are clear of and turned the corner you can then re- on becoming wealth.

The facts are you have NO option you MUST clear your debts, if you fail the consequents are on your , your car reclaimed by the HP Company, court orders, . (SORRY but that is the hard ).

Nevertheless, that will NOT happen to you because you are going to implement the recovery plan that we will set out for you.

We now need to first motivate you, set key objectives and realistic .

We all have different life styles, often based on the we earn.

The rule the higher you fly the harder you fall. Applies:

If you live in a large expensive house, you will have much higher . Top of the range BMW, you impress no one every one knows you are living on .
Therefore, before you try to impress with a new swimming or ponies and motor bikes for the children, stop and think can we afford to do this, would we be better to wait and pay . (Of course you would you know it makes sense).

If you are the , living in a three-bed semi, with a second hand car, and are a hourly paid worker, maybe in a factory or in the , the same applies. Yes it would be nice to impress your family and with a tan from a expensive holiday or a top of the range car, believe me they will only be impressed the first time they see it. You will be the one faced with 3 years of HP , higher , and the cost of fuel.

OK I know what you are thinking every one has a has and debits, Stop because you are having , NO it is not OK to be in , it complete and will never make you happy it will only bring you and ..

Therefore, no matter what your station in life is the same principles will apply.

We are taking time to outline the reasons most of us find ourselves in , because if you can not accept there is a problem you cannot take the actions required to eliminate the problem (In this case ).

We could show many examples of . They make it so easy, you always spend more than, if you were buying . Then the situation gets even worst, let us assume you have four , average interest 16.9% they have a combined outstanding balance of £5,200. If you only pay the minimum monthly payment = to 3% of the outstanding balance it will take you 20 years to pay those off and your payment would total £9,720 - it out you have paid them £4,520 interest.

You know in your that you get a much better deal paying , often a lower price and you pay NO interest.

OK we never promised a over night formula, we did the plan that WILL take you from to being wealthy.

Key Objectives:

• STOP —using NO or , now you are 100% . Think before you spend, do not buy until you have spare .
• This is NOT an option, if you are at present deep in , you will realized, the high life is over. You will be receiving legal letters. If you do not stop using , then you will reach a point where that decision will not be yours. Because once you are exceeding the limit on your and fail to make the payments, the card companies will put you on stop, and immediately inform the agencies. Then you are really in trouble, all the other companies will follow suit quickly. Your will also withdraw your over draft facility and monitor you as high .
• Cut up those . Use only , and only when you have spare , you need every penny to pay off your debts. You must learn to live a based life style.
• Pay off ALL your debts including , ( we will tell you how to do that in the shortest possible time)
• Learn to invest ALL spare wisely, your main objective will be to generate wealth,
• Phase 1 set aside in your emergency saving fund.
• Phase 2 on building long-term wealth, we will guide you to save that will generate income without the need for you to . (You will have ) Enjoy life , play golf, go fishing. Have fun been happy.
• Now in the first few years you are going to throttle back, drop out of the fast lane, no more living on and accumulating debts that will eventually bring you crashing down, maybe cost you every thing house, car, family. (That would be devastating)
hard for real and independence; soon you will be the one being in charge in complete of your own destiny.
• Simple rules, only, no , no more monthly HP agreements.
• Your family and children will need to understand that from now on all spare will go to pay off debts. ( Hard to say no to a tearful little girl who wants a new play station ) Still a better than telling a teenage daughter, we are going to lose the house because we have not paid the .
• OK this is not rocket science; it is just plain . You can dream and it is important to have the vision that in 5 years you can be completely Free.

The plan:

Prioritize your debts, (we will provide the formula).

List All your ( is you owe and are legally committed to repay) ( = you pay out each month for Gas, Electricity, , petrol, take items that you pay every year for example car , and divide by 12).

First, clearly understand how much you actually owe, what of interest you are paying.
Complete the following sheets designed to help you and your family to understand where the going. Invite innovated think and ideas as to how you could save .

(A) Monthly Living

Living Actually cost Saving


Council Charges
Electricity -
Gas
Telephone / internet
Water Rates
TV company ( Sky)
(total for every thing)
Entertainment.
Children Pocket
Car
Car 1 petrol (only)
Car 2 petrol (only)
Maintenance
Road fund


Medical Care
Children’s Tuition etc
Clothing and Miscellaneous
Other expense

Total

(B) Major Purchases - over 12 months divided by 12

Holidays
Car purchase
Major House
New
New Kitchen equipment
Garden plants tools
Gym or Golf club fees
Season tickets
Recreation
Miscellaneous
spent ATM etc
Total C/f to summary

(C) payments

Name of Total

Balance Monthly Payment % interest Full amount or min


Second
Car 1
Car 2

Over draft
Card 1
Card 2
Card 3
Card 4
Other debts

Total C/f to Summary
(D) Monthly Income
Monthly take
Second income
DHSS


Internet income

Total C/F to Summary

Totals carry forward

Statement - SUMMARY the points of reckoning, you now need to insert you figures.

E.g., total income - total Living - total payments.

Which we hope will give you a positive result, e.g. more income than outgoings? Referred to as a true measure of your capacity to decrease you debts and increase your wealth. Taking these should have provided you with the base information to empower you and your family to your efforts and give you the means to measure your progress.

It is important that you share this information with your family.

Depending on the result of Income (- outgoings) your objective will be to ensure that you have a minimum of 10% of your total income as , that is the you are going to use to clear your debts in order of priority.

It will depend on your original check on status if you were in the 18-20 range then the figures may indicate that you have debts and that exceed you present income.

If this is the case, you have NO option: You must cut your spending. All , none essential expenditure, holidays, two , smoking, drinking, golf club, gym, entertaining, , , children , garden plants flowers. In place of golf the gym going to the pub, find spare time earn more .

If you DO NOT TAKE THESE ACTIONS NOW, you WILL lose your , you will . This is the hard line .

Total income
Total Living =
Payments
D - Total of AB&C =

Right now your head will be spinning, you were expecting an easy way out, there is no easy way out it takes total commitment.

We did warn you TOTAL commitment.
NO MORE CARD spending
NO MORE
NO MORE spending
NO MORE Holidays (Until you are clear of )

You are now on the road to recovery, you are going to transform you into wealth.
You first step was to create = Income minus outgoings.

Your starting point should be 10% your monthly gross income.

Write down each in the first column 1, total balance in column 2 the in column 3, then you divide the total balance by the monthly payment, insert the answer in column 4.

Next, you need to prioritize your debts in column 5 Start with the lowest division answer in column 4 until they are numbered.

Column 6 that is where you start to see the , to show the debts as they are cleared (Paid off).

To know how many payments to pay off: You divide column 2 by column 6 = the number of months in column 7.

First you use your to increase the payments on 1, what will quickly clear that , at which point you now have even more disposable all off which you use to accelerate the payment of 2, as each is paid you roll it over to really accelerate the payment on the next . Once you pay all debts off, then you have ALL of the to invest. Now you have gone from to .

Invest wisely NEVER go back to or only live on a basis. Moreover, plan for .

Name of Total
Balance Monthly
payments Division
Answer Pay off

Priority Additional monthly payments Months to pay off

Column 2 = total £————————

Column 3 = Total Monthly payments £————————
We trust that you can see the , and the of using ALL your disposable E.G. Income minus outgoings to accelerate repayment of your debts, then the amazing acceleration that takes place as each is written off you have extra to pay of the next ( In order of priority).

This is a WIN -WIN situation, once you see it actually working and no more chasing for , do not maintain total commitment this is not just about clearing your debts this is about a new life, ( ONLY).

In just a few years, you will be in a position to for you and your family. You will have taught your children how to manage , never to about you future again.

Now you will really have the of your piers, and family. You will own every thing the house, . Take that five star holiday all paid up front .

I wish you good ;

If you need further help or would like the Excel forms to monitor and record transactions FREE please do not hesitate to us.

Your Faithfully

Kenneth Yearsley

(Think new future better life no or , security) Make this commitment get out of , to change your . This is the hard task. Do that and then you can look forward to a new future?

For nearly three years, I continue to buy. Then I started robbing Peter to Pay Paul using one card to pay of another, transferring balances, taking out . WOW, I had spiraled deep into . Under pressure from all the , could not , each month all my already committed to , outgoing much higher than my income.

Learn from our mistakes: (It take WILL and commitment, but will change your life for ever) if I can be of any assistant please us: (It is free genuine no sign up or ) ken@makemoney.us.com

What Kind of Cat Litter Should I Use?

Monday 27 October 2008

Cat litter is a pretty recent product. Believe it or not, it was only invented in the late 1940’s.

Before that, most just used dirt from their gardens for litter. Sand was another choice, if it was easily available. Some used ashes, and others just used shredded newspaper.

Today we have an incredible assortment of cat litters available. How do you choose the best one?

To answer this question, you need to think like your kitty. A common is to choose something you like, instead of considering what your cat may like.

Your cat is more interested in the smell and texture of the litter. You are more interested in odor , how easy it is to , and if it’s safe for your cat. What it comes down to is, will your kitty use it?

There are many types of cat litter available. Your options include traditional clay litter, clumping (scoopable) litter, and alternative or natural litters made from paper, corncob, orange peel, wheat, wood, grass, silica, and even peanut shells.

Clay litter is the most widely-used because it can absorb between 75% and 100% of its weight in moisture. Just remember that cats don’t like stepping on wet litter. Plus wet litter smells bad, both to humans and cats. So you’ll need to keep the feces scooped out, and change it twice a week to keep both you and your feline friend happy.

Clumping litters are very popular today. The cat’s urine causes the litter to form clumps which can be scooped out. This is great because you don’t need to change all the litter. You just replace what has been scooped out. Your cat likes the soft texture, and there’s less odor, since the odor source has been removed.

Many cats prefer the sand-like texture of the clumping litters as it’s easier on their paw pads.

Keep in mind that some clumping litters clump better than others. The less expensive ones that break apart easily are harder to . You should also change the litter completely at least once a week. A better quality clumping litter is easier to every day, and may last longer.

A natural litter may appeal to you, but it may not appeal to your cat. If it has a texture and smell different from what your cat is accustomed to, she may not recognize it as cat litter. If this happens, she may try to hold her urine, which can lead to , or she may use your carpet instead.

Avoid perfumed litters. They may smell good to you, but most cats are repelled by them.

If you want to start using a different kind of cat litter, buy a new litter box for it. Keep the old box (and litter) until you know that your cat is actually using the new litter. Let your kitty the box on her own. You may want to take some urine or feces from her old box and put it in the new one so that she gets the idea. If she likes it, great! If not, go back to the old litter.

Once you and your furry friend find a litter you both like, stick with it to avoid litter box problems and cat urine odor.

Darlene L. Norris invites you to read How Can I Get My Cat To Use The Litterbox? for the solution to your litter box problems.

Visit http://yourcatcareguide.com/wordpress now to sign up for The Cool Cat Care Ezine, and receive your free copy of Pamper Your Cat, a collection of 100 recipes for treats and main dishes for your favorite kitty. Your cat will you for it!