Aha. My two cents' worth.
If you do not believe in the Law of Attraction, it will nevertheless operate in your life. That is because it is a universal law. It is like the law of gravity - whether or not you believe in it, it will keep you grounded.
However, if you do not believe in the Law of Attraction, you will be unable to perceive its workings in your life. This is because the Law of Attraction itself says that the nature of your reality is created by your thoughts. If your thoughts include a disbelief in the Law of Attraction, you will fail to see its operations in your life.
The Law of Attraction is nothing new. It has been known for eons, except that in different times and places, it has gone by different names and is applied in different ways.
One form of its application is called "prayer". You pray to God, and your prayers are answered - some change comes about in your external environment or circumstances - which is to say: you have just affected reality with your thoughts.
Another form of its application is called "hypnosis". You may be hypnotised to visualise your skin as normal and healthy - subsequently, your eczema / psoriasis / rashes just disappear. Which is to say: with your thoughts, you have just altered reality - epidermal growths on that physical layer which we call "skin" have just disappeared.
Another version of LOA is known as "karma". Karma results from deeds with intentions (thoughts). If you do good deeds (with positive intentions), you attract certain consequences into your life. If you do bad deeds (with negative intentions) you attract certain other kinds of consequences. In fact, if you do anything with any kind of intention at all, the universe must necessarily respond in one way or another.
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What is science? It relates to things that can be established or proven within the parameters of a certain set of rules outlined by Karl Popper.
Many things cannot be established or proven within those parameters. For example, I love my children and I believe that they love me. This however is unscientific. Love cannot be detected, identified or measured by a thermometer, a Geiger counter or any other form of scientific device.
However, just because a thing cannot be scientifically proven does not mean that it does not exist.
(In fact, we can point to specific moments in human history when electricity, bacteria and genes were scientifically proven to exist. This does not mean that prior to such discoveries, electricity, bacteria and genes did not actually exist).
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I ask you now to think.
I ask you to think of your mother, and what she would like for her next birthday present.
Next I ask you to close your eyes, and visualise the face of your favourite actor.
Next I ask you to calculate the answer to this: 4x15x2.
If you have done as I have told you, three very different thoughts would have flashed through your brain. You know that this
indeed happened.
However, this is scientifically unprovable. The best scientist in the world, with the most sophisticated machine and wires attached to your head, would have been unable to prove that these three thoughts had passed through your brain.
It is therefore true, but
completely unscientific, to assert that you just had thoughts about your mother, your favourite actor and a set of numbers.
This is how little science can tell us about the nature of thoughts. Each of us has about 60,000 thoughts a day (according to some unscientific estimates), but science is unable to find out what you were thinking. Only you know what you were thinking.
Do not expect science to tell you very much about how your thoughts can affect your reality.
Science does not even know your thoughts - how could it know what effect those thoughts could have on your reality?
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What
can science tell you about thoughts?
We know that they are electrical impulses running around the synapses and neurons of your brain.
We know that you use different parts of your brain for different kinds of thinking. This much the scientists can tell, with their machines.
We also know that energy cannot be destroyed. At best it can change from one form to another.
We know that thoughts are electrical impulses, therefore thoughts are energy, therefore thoughts cannot be destroyed - at best they can change from one form to another.
We know that energy can affect matter; that all matter is in fact a form of energy (E=mc square).
Thoughts must therefore be able to affect matter.
How - is the interesting question.
Where did your thought go, after you thought it?
Remember - your thought is an electrical impulse, therefore it is energy,
therefore it cannot ever be destroyed, it can only change from one form to another.
Where did your thought go, after you thought it? Wherever it went, how is it affecting the energy (or matter) around it, in that place, or in those places?
Remember - <a href="http://en.wikipedia.org/wiki/Butterfly_effect">the kinetic energy from one flap of a butterfly's wing could cause a tornado.</a>. What might a few electrical impulses from your brain?