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Mathematics

Why Is A Black Hole Really So Special?

Published on April 2, 2022 by Hemanth

The first direct image of a supermassive black hole at the core of Messier 87 galaxy (image credit: EHT Collaboration)
The hitchhiker’s guide to the black hole — Part 1: A series of essays aimed to uncover the mysteries and science behind the concept of black holes!
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The Shipwreck Puzzle – A Fun Linear Math Challenge

Published on March 30, 2022 by Hemanth

The Shipwreck Puzzle - An image showing a sketch of two ships that are sinking. Ship-1 needs 10 hours to sink to the bottom of the sea whereas Ship-2 needs just 5 hours to sink to the bottom of the sea
The shipwreck puzzle is a fun challenge that tests your fundamental understanding of rates and linear algebra. Can you track down the two sinking ships?
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How To Really Solve i^i (i raised to the power i)?

Published on March 29, 2022 by Hemanth

How To Really Solve i^i? - An image with the following expressions: i = √(-1); i^i = ??
The problem: i^i (i raised to the power i) seems absurd at first glance. But it is meaningful and serves as an intro to advanced complex number concepts!
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How To Really Tackle The Raven Paradox?

Published on March 27, 2022 by Hemanth

How To Really Tackle The Raven Paradox - A sketch with three black ravens in a green box on the left and 7 green apples in a black box on the right. In the middle, there is an 'equal to' sign with a question mark hovering over it. It seems to question whether these two groups could be equated to each other.
In my previous essay on the raven paradox, I covered how the paradox occurs. In this essay, I will be covering how you can tackle this paradox!
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How To Really Understand The Raven Paradox?

Published on March 27, 2022 by Hemanth

How To Really Understand The Raven Paradox? - An image of a sketched-raven (black outlines used) with the following question underneath: "Are all ravens black?"
The raven paradox knocks at the door of one of the most fundamental aspects of science. At its core, it stems from the following question: “What is evidence?”
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The Four 4s Puzzle – How To Generate Any Number Using Four 4s?

Published on March 21, 2022 by Hemanth

How To Generate Any Number Using Four 4s? - An image with a row of four 4s equating to 99. There is a question mark hovering above the 'equal to' sign which seems to question the relationship between the four 4s.
You have a row of four 4s. You can relate these four 4s using any valid mathematical operators. Is it possible to generate any number this way?
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Can You Really Solve This Third-Grade Math Puzzle?

Published on March 20, 2022 by Hemanth

Can You Really Solve This Third-Grade Math Puzzle? - An Input-Output table with the following values: 1->5, 2->10, 3-> 55, 10-> ??
I recently came across a third-grade math puzzle that made me think. My first thought was that I shouldn’t be thinking this much about it. Give it a try!
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Molyneux’s Problem – Can You Really Solve This Challenge?

Published on March 18, 2022 by Hemanth

Molyneux's Problem - Can You Really Solve This Challenge? - An image of a stick figure depicting a blind person standing puzzled before a sphere that is labelled "CUBE" and a cube that is labelled "SPHERE"
Molyneux’s problem originated as a philosophical thought experiment in the 17th century. It features a simple a question with a complex set of answers!
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Newcomb’s Paradox – A Challenge To Game Theory

Published on March 13, 2022 by Hemanth

Newcomb's Paradox - A Challenge To Game Theory - An image showing a thinking stick figure before two boxes: box A and Box B. Box A is transparent and has $1000 inside. Box B is opaque with a label saying that there could be either $1,000,000 or $0 inside. The stick figure appears to be choosing between the two boxes.
Newcomb’s paradox arises out of a simple money game between two players. And this simple game makes you ask deep and fundamental philosophical questions!
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Russell’s Paradox – A Lesson On How To Crash Mathematics

Published on March 12, 2022 by Hemanth

Russell's Paradox - A Lesson On How To Crash Mathematics - Image showing Bertrand Russell (Left) and Gottlob Frege (Right) - Images from Wikimedia Commons
Russell’s paradox is one of the most famous paradoxes in all of mathematics. Yet, the fascinating and gripping story behind this paradox is not as well-known.
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