Consider a 4×4 grid where each cell can be either selected or not selected. Two cells cannot both be selected if they share an edge (top, right, bottom, or left).
Read moreLife and Logic
Science, Future and controversy
Science, Future and controversy
Consider a 4×4 grid where each cell can be either selected or not selected. Two cells cannot both be selected if they share an edge (top, right, bottom, or left).
Read moreConsider this sequence:
1, 3, 7, 15, …
Each number seems to follow a simple rule, but there’s something magical happening when we look at their binary representations. This sequence demonstrates how simple patterns create complex constraints – a fundamental concept in complex systems.
It’s about how personal and collective pain—often valid and justified—sometimes spills over into debates where it clouds our ability to judge clearly. I see this pattern in feminist debates, in discussions about universities or the military, and very strikingly in the infamous O.J. Simpson trial.
Read moreYou’re managing a busy intersection where cars arrive from the north and east. Each direction gets a 30-second green light. Your goal is to decide which direction should get the green light next to minimize the total waiting time
Read moreFor me, The Truman Show speaks to a fundamental paradox within us: the desire for truth, the fear of it, and the strange comfort we find in illusions. It explores not just deception, but what it means to live a life that feels empty—until something real pierces through.
Read moreWeekly Problem: Latin Squares and Experimental Design The Mystery of Latin Squares A Latin square is a grid where each symbol appears exactly once in each row and column. Simple to describe, yet they hold deep mathematical mysteries and practical
Read moreProblem Statement
You have three cards numbered 1, 2, and 3. You shuffle them and place them face down in a row.
Question: What is the probability that at least one card is in its correct position (i.e., card number matches its position)?
Read moreWhat’s This All About?
Imagine you’re given a list of numbers. Let’s say 20 numbers, chosen from 1 to 100. The question is simple:
Is it always true that you can find three different numbers in the list whose sum is divisible by 3?
It sounds easy, right? But once you try different lists, you’ll start to wonder.
Being strong and unconventional sometimes means you can’t afford to be gentle I have not yet conducted a detailed demographic analysis of my blog readers, so I may lose some of you by introducing Scarlett O’Hara—the protagonist of Margaret Mitchell’s
Read moreUnderstanding the Fallacy Fallacy Test your knowledge about the fallacy fallacy – the mistake of assuming that if an argument contains a fallacy, its conclusion must be false.
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