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The Grue Paradox: Induction Does Not Really Exist.

Published on December 14, 2022 by Hemanth

The Grue Paradox: Induction Does Not Really Exist. - An illustration showing a green gemstone on the left and a blue gemstone on the right. Around this illustration, the following question is posed: "Are emeralds green or blue?"
The grue paradox exposes a central problem in the philosophy of science. It leads to the conclusion that induction does not really exist! Read to learn more!
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How To Solve 2×2 Equations In A Single Step

Published on December 12, 2022 by Hemanth

How To Solve 2x2 Equations In A Single Step - Whiteboard style grahics showing the banner "An underrated algebra tool". This banner points to a 2x2 equation system showing the following equations: 2x + y = 2; x − y = 1; Some arrows seem to indicate cross-multiplication among the terms of the two equations.
You typically need substitution/elimination to solve 2x2 equations. But the method in this essay lets you skip that & arrive at the solution in a single step!
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Can You Really Stop Time? (Sci-Fi Style)

Published on December 8, 2022 by Hemanth

Can You Really Stop Time? (Sci-Fi Style) - An illustration showing a stick figure pulling the long hand of a big clock using a lasso/rope. It appears that the stick figure is trying to either stop time or slow it down.
Even if you could really stop time, your life would not at all be like you would expect. Check out the essay to learn more about the science behind this.
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Unpopular Candidates Win Elections. How? Here Is The Math.

Published on December 6, 2022 by Hemanth

Unpopular Candidates Win Elections. - A whiteboard style graphic illustration showing three stick figures: A, B, and C. A shows a smug reaction with folded hands; A is also an unpopular candidate. B shows a happy reaction with raised hands; B is a popular candidate. C shows a panicking reaction and is an irrelevant candidate. Below these stick figures, the following question is posed: "Who will win??"
Unpopular candidates win elections now and then; no big news. But did you know that applied math can explain why this happens? Check out the essay for more!
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The Origins Of Entropy: The Hidden Reason Behind Technological Growth

Published on December 5, 2022 by Hemanth

The Origins Of Entropy: The Hidden Reason Behind Technological Growth - An illustrative art showing a cube of ice on the left, a glass of water in the middle, and a steam engine spewing steam from its chimney on the right. On top of these images, the word "entropy" is seen in a box. The ice cube has lower entropy than the glass of water, and the glass of water has lower entropy than the steam produced by the steam engine.
In this essay on the origins of entropy, we look at how it all began. Now, entropy is our key to answering many basic questions. But it had humble beginnings.
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Calculus XIII: How To Really Understand The Chain Rule

Published on December 2, 2022 by Hemanth

Calculus XIII: How To Really Understand The Chain Rule - Whiteboard style graphic illustration showing the following information: y = f(x) = (x² + 5)^(3/2); dy/dx = What (??)
In this 13th calculus series essay, we cover the chain rule of calculus. Learn the mathematical framework behind one of the most useful rules of calculus!
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Asymmetric Dominance Effect: How To Make Sense of Human Irrationality

Published on November 30, 2022 by Hemanth

Asymmetric Dominance Effect: How To Make Sense of Human Irrationality - An illustration showing three wine bottles labelled 'A', 'B', and 'C' from left to right. Wine bottle 'A' has a price tag of $5, while wine bottle 'B' has a price tag of $10. Wine bottle 'C' has a price tag of $90. Wine bottle 'C' is also explicitly marked as "Decoy"
The asymmetric dominance effect AKA decoy effect is used by marketing folks to control consumer behaviour. Read this essay to learn how to avoid this trap!
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Entropy For Dummies: How To Do It The Easy Way

Published on November 25, 2022 by Hemanth

Entropy For Dummies: How To Do It The Easy Way- A stick figure on the left flips a coin and is asking the following question in its head: "Heads or tails?" Below this bubble is seen the following word highlighted inside a square block: Entropy. Beside this block is a seal that says 'For Dummies - Approved' on it.
Entropy for dummies is a simple beginner's framework to understanding entropy. This essay also explains how you can benefit from this knowledge. Check it out!
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Infinite Regress: How To Really Understand It?

Published on November 22, 2022 by Hemanth

Infinite Regress: How To Really Understand It? - A whiteboard illustration showing a series of Russian dolls on top, where a smaller doll recursively appears out of each bigger doll (left to right). At the same time, there is an image of a square-based fractal below. In between these two images, the phrase "Infinite Regress" is presented in a box. Both of these concepts seem to be linked by infinite regress.
Infinite regress is an intellectual concept that connects fields such as philosophy, theology, math, and art. Interested in learning more? Check out the essay!
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Calculus XII: How To Deal With The Time Derivative

Published on November 18, 2022 by Hemanth

Calculus XII: How To Deal With The Time Derivative - An illustration of a car travelling at a fast rate on the left. The driver seems to be a smiling stick figure with a smug look. On the right, the following pink text is written inside a black box: "dx/dt = what ??"
In this 11th calculus series essay, we cover the time derivative. Learn the fundamental math behind the study of quantities that change with time!
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