Series Lógicas y Crímenes en Serie | Guillermo Martinez | TEDxBahiaBlanca

Logical Series and Crime Patterns

• The speaker introduces the idea of logical series and serial crimes, inspired by Jorge Luis Borges' short story "Death and the Compass."
• The story involves a series of murders with clues pointing to a pattern based on the number three and cardinal points.
• The detective, Lönnrot, realizes that the Jewish tradition defines the beginning of a day with the appearance of the first star, leading him to adjust the crime count to four.
• Lönnrot deduces the location of the fourth crime using geometry but falls into a trap set by his rival, revealing the complexity of the series.
• The speaker proposes an alternative series to the criminal, involving a different pattern of movements between crimes.
• The speaker highlights the significance of context in determining the solution to a logical series, as demonstrated by the varying interpretations of the crime locations.

Mathematical and Philosophical Implications

• Not all series have a single solution. There can be multiple reasonable solutions.
• It's not easy to distinguish between different solutions and choose the best one.
• There's a mathematical theorem that states that for any given set of numbers, there exists a polynomial that can justify all the points.
• This means that it's always possible to find a logical explanation for the continuation of a series.
• In the context of crime novels, this implies that it's not possible to accurately predict the continuation of a series of crimes based on logical clues left by the criminal.
• Intelligence tests only measure the expected average and can't account for individuals with unique reasoning patterns.
• The application of a rule to a finite number of cases doesn't guarantee that the rule can be applied to future cases. There might be other rules that fit the initial cases but differ in the next case.

Vigotsky's Philosophy and Language

• Vigotsky's interest in education led him to develop his philosophy, which involves training individuals to respond according to specific expectations.
• He observed that language is not just about syntax but also about "language games" where there is a dynamic of approval and disapproval, shaping the normalization of knowledge.
• Vigotsky's ideas relate to the Turing test, distinguishing between the letter and the spirit of the law, and the pursuit of a perfect language.
• He argues that it is impossible to design a language with unambiguous interpretation based solely on syntactic rules.
• The limitations of induction and the inability to transmit language to extraterrestrial beings due to different interpretations are also discussed.
• Vigotsky emphasizes that no set of syntactic operations or written rules can provide a unique and unambiguous interpretation.
• He concludes that context is crucial for understanding written works and that even well-encoded messages are meaningless without the proper context.