Dreams, Sestina, and Illusion: When Kabbalah Meets Probability

How many times have we heard stories of people who dreamed of a number, played it, and won? Or of those who interpreted a life event, trying to transform it into a "winning sestina" thanks to Kabbalah? This fascinating combination of the dream world, tradition, and the hope of an easy win is a myth that's hard to die, fueled by a series of cognitive illusions and our innate tendency to seek patterns and meanings even where there are none. But what does mathematics tell us about it?

😴 The Enchantment of the Premonitory Dream

The idea that dreams can reveal the future is as old as humanity. From Greek oracles to biblical interpretations, dreams have always been seen as a portal to a deeper reality, capable of revealing future events or guiding us in our choices. When it comes to number games, this belief translates into the conviction that a vivid dream – perhaps about a specific event, person, or object – can be deciphered and converted into "lucky" numbers to play. This is where Kabbalah comes into play, a traditional system of symbolic interpretation that associates meanings with numbers, letters, and events.

Kabbalah, or more generally the smorfia (in the Italian context, with its Neapolitan origin), offers a vast vocabulary for translating dream elements into numbers. Dreaming of a cat might correspond to the number 3, a dog to 4, a dead person to 47, and so on. The problem is that these associations are arbitrary and have no scientific or probabilistic basis.

• Every dream is unique and personal.
• Kabbalistic interpretations are numerous and often conflicting.
• There is no demonstrable correlation between the content of a dream and the outcome of a random draw.

🧠 Confirmation Bias and Coincidences

Why then are we so prone to believing in these connections? The answer lies in a psychological phenomenon known as confirmation bias. We are naturally inclined to notice and remember information that confirms our pre-existing beliefs, ignoring information that contradicts them.

If we dream of a number, play it, and win, the event will be etched in our memory as tangible proof of the power of the premonitory dream. Conversely, if we dream of a number, play it, and lose (which, statistically, happens the vast majority of times), we tend to forget the episode or rationalize it as "it wasn't the right time" or "maybe I misinterpreted the dream."

Furthermore, we are very good at detecting coincidences. If we played a random number and won, there would be nothing special about it. But if that number was "suggested" by a dream, our mind would immediately create a causal link, attributing the dream with the credit for the win. This is a fundamental logical error: confusing correlation (two events happening at the same time) with causality (one event causing another).

The probability that a random draw will produce a specific combination of numbers is extremely low. For example, in Lotto, where 5 numbers are drawn from 90 on a single wheel, the probability of guessing a cinquina is 1 in $\binom{90}{5}$ which is: $P(\text{cinquina}) = \frac{1}{\binom{90}{5}} = \frac{1}{\frac{90!}{5!(90-5)!}} = \frac{1}{43.949.268}$ Almost a 1 in 44 million probability! The probability that a dream "predicts" such an event is even more remote, as it implies a supernatural connection with an intrinsically random mechanism.

🎲 The Random Nature of Draws

The crucial point is that lottery draws are independent random events. Each draw is a "new beginning," unaffected by previous ones or any external factors, including dreams or Kabbalistic interpretations.

• Independence of events: The fact that a number has come out in the past does not alter its probability of coming out in the future. Likewise, a lagging number that hasn't come out in a long time is not "late" and does not have a higher probability of appearing.
• Lack of memory: The urn or the random number generator has no memory. It does not "know" what happened before and does not "tend" to balance the draws.
• Equiprobability: Every number has exactly the same probability of being drawn as any other number in every single draw.

To think that a dream can influence the draw is like believing that our intention can alter the roll of a die. It is a form of illusion of control, where we overestimate our ability to influence random events.

📚 The Allure of Narrative Versus Rationality

The myth of premonitory dreams and Kabbalah applied to numbers is powerful because it touches deep chords in our psyche: the desire for control, the hope of unexpected fortune, and the allure of the inexplicable. Stories of wins "guided" by dreams become urban legends, passed down by word of mouth, while countless losses are silently forgotten.

Mathematics, with its cold logic of probabilities, offers us a different perspective. It teaches us that chance is untameable and that searching for patterns or meanings in purely random events is a futile exercise. While it can be fun and stimulating to interpret dreams or consult the smorfia out of curiosity, it is crucial not to confuse folklore with probabilistic reality.

Lottery draws are independent random events: no number is more probable than another. Gambling can cause pathological addiction. Play responsibly. Gambling is forbidden to minors under 18. Source: adm.gov.it.