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Showing posts with the label extrapolation

TWO TYPES OF LEARNING AND ANALYSIS

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There are two different types of analysis and learning relating to our ability to see and recognize patterns and relationships. One method is extrapolative, which means finding the next item in a sequence of items. The second method is interpolative, which means finding the missing item somewhere in the middle of a sequence of items. We are expressing ourselves interpolatively when we average items -- for example when you are told that an item will cost between $10.00 and $20.00, your mind averages the two together and you think of a "middle" or simple mean average price of $15.00. This is how most people think without realizing that they are doing it. In fact, if you were told that the price would be on the higher side, you would probably interpolate the anticipated price as $17.50 -- we do this by first finding the mean, and then by finding a second mean (or 'derivative mean') between the first mean and the maximum. Our mind dices and slices when we are asked to es...

Pattern Recognition Versus Memorization: Braintenance

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Two essential components of intelligence are the ability to recognize (and extrapolate) patterns, and the ability to simply memorize strings of randomized data. Each requires the use of different parts of the brain. Alternating between one and the other creates an increase in both abilities plus increases neuronal plasticity and problem-solving ability. For each of the following strings of data, do the following: 1) Recite all of the data points from memory after looking at the data for no longer than two minutes; 2) Recite all of the data points backwards from memory after looking at the data for another minute; 3) If you recognize a pattern, find the next data point. NOTE: Do not look back to previous strings in working on this exercise! --------------- STRING A: 2, 4, 6, 8, 10, 12, 14 ... STRING B: 1, 3, 2, 4, 3, 5, 4, 6, 5, 7 ... STRING C: 3, 7, 5, 8, 3, 9, 6, 11, 2 ... STRING D: Apple, Bicycle, Carnival, Donut, Energy, Footprint ... STRING E: Carbon, Log, Melon, River, Wheel, Toe ...