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konstantint
economics
9y
Sophism #20: The Braess's Paradox
Sophisms are closely related to paradoxes. Both assume the form of a statement that contradicts your intuition. In case of a sophism, your intuition is right in telling you that the statement is wrong
$ 2.451
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konstantint
math
9y
Sophism #19: Rectangle vs Parallelogram
Consider a rectangle ABCD and a parallelogram EFGH with the same base length and height. Let us cut the rectangle ABCD into infinitely many infinitely thin strips: lines, which fill the whole area of the
$ 1.213
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konstantint
math
9y
Sophism #18: Derivatives
Taking derivatives from both sides of a valid equation we obtain Dividing both sides by x, we must conclude that 2 = 1. For other sophisms check out my other posts.
konstantint
sophism
9y
Sophism #17: The Paradox of Life
Time is infinite. Your life is finite. Consequently, the probability of you being alive at this particular moment is zero. ... and yet you are alive! For other sophisms see my other posts.
darth-cryptic
genealogy
3d
Published via Ecency
Promoted
Genealogy: Walter Tailboys (1391-1444)
I am posting some random bits of my genealogy research here with the goal of eventually creating a linked family tree on Hive. Subject: Walter Tailboys (1391-1444)
konstantint
funny
9y
Sophism #16: The More You Know - The Less You Earn
As we know from physics, the amount of work done is proportional to power applied and the time spent: Work = Power × Time Substituting into this formula the well-known equations Knowledge = Power, Time
konstantint
math
9y
Sophism #15: All Triangles are Isosceles
Consider an arbitrary triangle ABC. Let G be the midpoint of AB and let D be the intersection of the midpoint perpendicular of AB with the bisector of ∠C. Drop perpendiculars DE and DF to the sides AC
konstantint
math
9y
Sophism #14: Square Root of -1
For other sophisms check out my other posts.
konstantint
math
9y
Sophism #13: The Missing Dollar
Bart's Cookie Store is selling two types of cookies - vanilla and chocolate. Vanilla cookies sell at $1 per three pieces, while chocolate ones sell at $1 per two. At the beginning of the day Bart had 30
asterkame
Sketchbook
4d
Published via Ecency
Promoted
Painting of a Beach Sunset Scenery
Hello Everyone! I painted this beach sunset scene today. There are palm trees, waves, a sand shore and a warm golden orange sky. I used a lot of different colors in this picture. In the first step, I painted
konstantint
math
9y
Sophism #12: The Earth is Flat
Consider the following statement: This whole statement is true if and only if the Earth is flat Let us denote the whole statement by A. Note that we can then rewrite it a bit more formally as the following
konstantint
math
9y
Sophism #11: The Liar's Paradox
The Liar's Paradox is perhaps the shortest sophism there is. In its most common form it fits in just four words: This sentence is false. Think about it: if the sentence is indeed false, then we should
konstantint
math
9y
Sophisms #1-#10: Discussion and Spoilers
Edit: Originally this post was named "Sophisms: Table of Contents" and was intended to be a single, regularly updated, table of contents for all the sophisms I'm posting here because I've just
konstantint
math
9y
Sophism #10: Continued Fractions
Number one may be represented as an infinite continued fraction as follows: Number two may also be represented in exactly the same way: Consequently, we should conclude that 1 = 2. Please, avoid posting
apnigrich
Town Square
5d
Published via Ecency
Promoted
What Is Happiness?
Friends, what is your favorite day of the week? I have Friday. The most real rest happens on a Friday evening. It's a time when you don't have to start anything new. Tomorrow will be Saturday, housework
konstantint
math
9y
Sophism #9: 3=2
Consider again three arbitrary numbers a, b, c, such that a+b = c Then: (3a-2a)+(3b-2b) = (3c-2c) Reorganize and simplify: 3a+3b-3c = 2a+2b-2c 3(a+b-c) = 2(a+b-c) 3 = 2 QED. Note that you may use the same
konstantint
funny
9y
Sophism #8: Cryptocurrency Trading is Evil
Sophisms come in various shapes and sizes. Some are simple mathematical "find-the-mistake" puzzles. Others are subtle observations, requiring whole theories to resolve them. Some are deeply
konstantint
math
9y
Sophism #7: The Arrow Paradox
Homer threw a baseball to Bart. Like that: Notice that at the moment in time depicted on the image, the ball is located at a certain fixed position in space. While it is being in that fixed position, it
konstantint
math
9y
Sophism #6: The Dichotomy Paradox
One sunny Monday morning Homer decided to go to his favourite bar to get a can of beer. Right before leaving the house, he paused to think for a moment: "The bar is located 1km away. If I start walking
apnigrich
Feathered Friends
2d
Published via Ecency
Promoted
Domestic Geese At The Zoo. Is It Funny?
Domestic Geese At The Zoo. Is It Funny?
This week's theme (ROUND 295) SHOW ME A PICTURE OF BIRD. FREE THEME Hey, @nelinoeva. When was the last time you were at the zoo? Or maybe you were in the poultry yard? In August, I was walking to the river
konstantint
math
9y
Sophism #5: Achilles and the Tortoise
Zeno's paradoxes are among the most ancient and famous sophisms known to date. They are thought to be proposed (or collected) by the ancient greek philosopher Zeno in the V century BC. At least nine known
konstantint
math
9y
Sophism #4: Any Two Numbers are Equal
Consider two arbitrary numbers a and b. Let a + b = 2c Rearrange this in two ways to get two new valid equations: a - 2c = -b a = -b + 2c Multiply the corresponding sides of the two equations: a2 - 2ac
konstantint
sophism
9y
Sophism #3: Every Number Can Sometimes Be Equal to Zero
Let a, b, and c be arbitrary numbers, such that a = b + c Multiply both sides of the equation by (a-b) and open the brackets: a(a-b) = (b+c)(a-b) a2 - ab = ab + ac - b2 - bc Move ac to the left and extract:
konstantint
math
9y
Sophism #2: Free Beer
Homer entered a bar. -- What beers do you serve here? -- Guinness at $3 a can, and Duff at $5, - answered the barman. Homer feverishly searched his pocket, scraping together $3 in small coins. He passed
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