The Black Spot in the Painting

Consider a painting by one of the European masters. Somehow you’ve discovered this painting in your grandmother’s attic. It’s worth a fortune, or so say the appraisers who come to your house to inspect it.

They’re going to take it away for auction, but before they do, you insist on keeping it on your mantle for a month. Every day you look at it with pride. This painting has been in your family for centuries! Soon it will bring you wealth, but first it brings beauty and elegance to your living room.

The painting is spectacular, with thousands of careful brush strokes and just the right blend of colors. The artist had clearly spent decades mastering his craft. Of the dozens of his paintings that were still known to exist, you sense that this was one of his favorites.

Except for one thing. Just off-center, in the midst of perfection, lies a single black spot. The spot isn’t huge, but it’s not tiny either. When you look at the painting, there’s no missing it. How did it get there? Surely, you think, it was a rare mistake. Perhaps the painter was tired at the end of a long day and accidentally splashed a dash of black in the midst of all the color. Or maybe some well-meaning apprentice came along later to retouch the painting and ended up making a mess.

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