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Can mathematics explain learning?

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Have you ever caught a whiff of a particular coffee and, in an instant, been transported back to a specific cafe where you first enjoyed that very aroma? It’s as if the smell alone without seeing the cup, tasting the coffee, or hearing the cafe’s sounds was enough to unlock an entire memory. This fascinating phenomenon highlights the way our brains retrieve memories through cues, aligning closely with ideas proposed by the psychologist William K. Estes in his stimulus sampling theory. Clark Hull and other learning theorists of the mid-20th century viewed learning as a process of forming direct stimulus-response associations. Take, for example, a pigeon trained to peck at a yellow light to receive food. According to Hull, this training would create a direct bond between seeing the yellow light (stimulus) and performing the pecking action (response). Over time, whenever the yellow light appeared, the pigeon would automatically peck for food. Estes challenged this view, suggesting that wh...