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Context is crucial ! 
Water - Ah-Ha!
Helen Keller opened a whole new window of understanding, when she discovered that water was a word, that it labeled a fluid thing that is present in a number of different Human experiences, such as drinking and bathing, and that words have meanings!
Annie Sullivan, Helen Keller's tutor, helped Helen to that most important ah-ha! experience, by repeatedly exposing Helen to the most diverse contexts in which water was present, and focusing Helen's attention onto the fact that water was the common denominator in all the different circumstances Annie Sullivan was placing Helen in (i.e., making Helen Keller experience).
Now, though not such a major ah-ha! experience as Helen Keller's, many of us have uttered an ah-ha! in science class. Have you?
There is a simple experiment which is often used in basic science classes, and which you might have tried:
Your teacher placed a bucket of water, filled with room-temperature water, right in front of you. Then the teacher got a bucket filled with very cold water, and placed it on your right, and another bucket, this one filled with very warm water, and placed it on your left.
You were then told to immerse your left hand in the warm water bucket, and your right hand in the cold water bucket, for a few minutes. Finally, you were instructed to remove your hands symultaneously, and to place them, both, into the middle bucket, without delay.
What did you experience? Wasn't it an ah-ha! ?! 
...
...Wow! How was that possible?!...To the left hand, the room-temperature water in that bucket felt quite cold! Whereas to the right hand, that same water, in the same bucket, felt so very warm!
Which hand was right? ... You were the same experimenter. The bucket of water where both your hands were immersed was also the same.
... You were the same experimenter. The bucket of water where both your hands were immersed was also the same. Yet... You'd give a totally different answer if someone asked you about the temperature of that water in which both your hands were immersed, depending on which side of your body you based your answer on!
Now you can easily explain it, of course:
What made it all so puzzling to you, then, was the mere fact that there were two very different contexts for you to resort to, in order to give your reply regarding the temperature of the water in that bucket, right in front of you.
In other words, that very same water in the middle bucket had been experienced from within two different contexts. Accordingly, it is obvious to you today, there were two different meanings you could derive for the temperature of the water.
The context that your left hand had experienced included your hand, of course, both buckets of water (the one on the left and the one in the middle), and the water inside each bucket, along with their respective temperatures.
The same can be said regarding your right hand, just making sure we replace the bucket on the left and the water inside it, with the bucket on the right, and the water inside it, as we describe the context for the right hand.
Thus, the meaning derived from each experience (right hand and left hand) was of course different, even though the water remained the very same!
Once more, experience is real, whether it is logically true or false!
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