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Tag: logic

  • The Vox Buxadé MEP insists on changing the Mar Menor Law “for a logical norm”

    The Vox Buxadé MEP insists on changing the Mar Menor Law “for a logical norm”

    Thursday, March 7, 2024, 6:13 p.m. Comment Copy link WhatsApp Facebook x LinkedIn Telegram The head of the Vox delegation in the European Parliament and vice president of the ECR, Jorge Buxadé, insisted this Thursday, during his visit to the Region of Murcia, on the “urgent need” to change the Law of the Mar Menor…

  • Combinatorics and self-reference

    Combinatorics and self-reference

    British mathematician Thomas P Kirkman, remembered primarily for a combinatorics problem that bears his name, Kirkman's Schoolgirls.Alamy Stock Photo The hidden destiny of an Ecuadorian, if the Latin adage in nomen omen If true, as was suggested last week, it could be “aeronautical,” a surprising anagram of the word “Ecuadorian.” And if we talk about…

  • The primordial (letter) soup

    The primordial (letter) soup

    If God's true name were a sequence of four letters, two vowels and two consonants, as we speculated last week based on the well-known story by Arthur C. Clarke The nine billion names of God, and we accepted any sequence of four letters that met that condition, the number of possibilities is not difficult to…

  • The tower and the triangle

    The tower and the triangle

    Sierpinski triangle.Encyclopaedia Britannica (Universal Images Group via Getty Images) In previous weeks we have seen the surprising relationship of the Tower of Hanoi with Hamiltonian tours, as well as with the legend of the inventor of chess, and the versatile tower still has some surprises in store. For example, its relationship with the Sierpinski triangle,…

  • The tower and the hypercube

    The tower and the hypercube

    In a trivial tower of Hanoi with two discs, A and B, as we saw last week, the sequence of movements to carry out the transfer from one axis to another is ABA. In the three-disc one, A, B and C, the sequence is ABACABA. That is, first we move the three upper discs as…

  • The tower, the cube and the board

    The tower, the cube and the board

    The Tower of Hanoi is a popular puzzle devised by French mathematician Édouard Lucas at the end of the 19th century. It consists of three vertical axes, on one of which a certain number of perforated discs of decreasing sizes are stacked, from largest to smallest starting from the bottom. The challenge is to move…

  • Along the paths of Euler and Hamilton

    Along the paths of Euler and Hamilton

    Regarding the “hidden treasures” in the Pascal-Tartaglia-Jayam triangle, which we dealt with, once again, last week, Francisco Vicente rules, in relation to the Fibonacci sequence (see footnote). image), the following graph of my own creation: And in relation to the presence of the number e in the triangle, Luca Tanganelli says: “A relationship of the…

  • Jayam's triangle

    Jayam's triangle

    Last week we asked ourselves about a formula that would allow us to find the nth tetrahedral number as a function of n without having to add the first n triangular numbers; Here it is (can you prove it?): Tn = n(n + 1)(n + 2)/6 In the case of n = 22: 22 x…

  • 2024 and tetrahedral numbers

    2024 and tetrahedral numbers

    Tetahedron of stacked spheresCarlo Frabetti I have to start by correcting an omission: last week I talked about 2024 and square pyramidal numbers, and I did not mention that 2024 is also a pyramidal number, although not square but triangular. Fortunately, my kind readers are usually on point: Javier Tamames reminded me that 2024 is…

  • The mathematics of 24

    The mathematics of 24

    Astronomical clock in St. Mark's Square in Venice.Perseomed (Getty Images/iStockphoto) To enter 2024 without unfinished business, let's start by seeing the solutions to the riddles of master Raymond Smullyan proposed in the two previous installments. In the first of the riddles, if sign II is false there is a lady behind door I, and therefore…