Life and Logic

Science, philosophy, and controversy

  • Logical Paradox- Weekly Problem No.11

    [raw] The Paradox of the Logical Detective by Yildiz Culcu The Scenario In a prestigious logic institute, three renowned professors (A, B, and C) are found in the library. Each professor has written a statement about the others on a piece of paper. The institute’s detective needs to determine who is telling the truth and…

  • Weekly Problem No.10. The Repeated Prisoner’s Dilemma

    Weekly Problem No.10. The Repeated Prisoner’s Dilemma

    The Prisoner’s Dilemma, first formulated by Merrill Flood and Melvin Dresher in 1950 and later formalized by Albert W. Tucker, represents one of game theory’s most profound insights into human behavior and strategic decision-making. The classic scenario unfolds as follows:

  • Weekly Problem no.9. The Simpson’s Paradox

    Simpson’s Paradox: A Causal Inference Challenge by Yildiz Culcu The Medical Treatment Paradox You’re the lead researcher at a major hospital analyzing a new treatment for a chronic condition. Here’s the aggregated data from two hospitals over one year: Hospital Treatment Group Success Rate Total Patients Hospital A New Treatment 60% 200 Hospital A Standard…

  • Poem: Two women

    Poem: Two women

    Two WomenOnce there were two women, clever and young,Bound by a friendship where laughter was sung.One had a gift for numbers, sharp and wise,The other surpassed her, with stars in her eyes. Two women, both radiant like ice and fire,One’s beauty was striking, the other’s inspired.Men gathered ‘round, bewitched by their grace,Yet one longed for…

  • The Pizza Theorem. Weekly Problem no. 8

    The Pizza Theorem. Weekly Problem no. 8

    The Pizza Theorem Challenge by Yildiz Culcu Rotate Cuts Show/Hide Solution Problem: A pizza is cut by 8 straight lines through a point P, which is not at the center of the pizza. The cuts are made at equal angles (45° apart). Prove that the sum of the areas of alternate pieces is equal. Questions…

  • Liar! Weekly Problem

    Liar! Weekly Problem

    🤔 Philosopher A 🤯 Philosopher B “Let’s start our discussion about the Liar Paradox…” Next Step Reset The Liar Paradox is one of the oldest and most famous logical paradoxes, dating back to ancient Greece. In its simplest form, it’s captured in the statement: “This statement is false.” Understanding the Paradox: If we assume the…

  • The Dining Philosopher’s Problem

    The Dining Philosopher’s Problem

    Weekly Problem No. 6 The Dining Philosophers Problem is a classic computer science problem that illustrates challenges in resource sharing and deadlock avoidance. The Setup Five philosophers are seated around a circular table. In front of each philosopher is a plate of spaghetti, their only nourishment as they ponder life’s great mysteries. Between each pair…

  • My Sickness saved my life- the Region Beta Paradox

    My Sickness saved my life- the Region Beta Paradox

    When things get bad, you should hope for even worse times according to social science

  • Napoleon’s Theorem

    Napoleon’s Theorem

    weekly Problem no.5 in two difficulties One of the most elegant results in geometry began with a surprising observation about triangles. Take any triangle – it doesn’t matter what shape or size – and build equilateral triangles on each of its sides (pointing outward). Now find the centers of these three equilateral triangles. When you…

  • The unexpected hanging problem

    Here is the riddle for our weekly problem no.4. This is the first problem in this series in the category logic. See the full problem and logical analysis in this HTML file: write you thoughts in the comments!