New: sophismAll contenthive-129948hive-196917krhive-166405zzansteemhive-183959hive-180932photographyhive-150122hive-185836uncommonlabhive-183397lifehive-144064hive-188619bitcoinhive-101145krsuccesshive-139150hive-124908hive-103599hive-180301hive-109690hive-193186TrendingNewHotLikerskonstantint (48)in economics • 7 years agosteemCreated with Sketch.Sophism #20: The Braess's ParadoxSophisms 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…konstantint (48)in math • 7 years agosteemCreated with Sketch.Sophism #19: Rectangle vs ParallelogramConsider 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…konstantint (48)in math • 7 years agosteemCreated with Sketch.Sophism #18: DerivativesTaking 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 (48)in sophism • 7 years agosteemCreated with Sketch.Sophism #17: The Paradox of LifeTime 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…konstantint (48)in funny • 7 years agosteemCreated with Sketch.Sophism #16: The More You Know - The Less You EarnAs 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…konstantint (48)in math • 7 years agosteemCreated with Sketch.Sophism #15: All Triangles are IsoscelesConsider 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…konstantint (48)in math • 7 years agosteemCreated with Sketch.Sophism #14: Square Root of -1For other sophisms check out my other posts .konstantint (48)in math • 7 years agosteemCreated with Sketch.Sophism #13: The Missing DollarBart'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…konstantint (48)in math • 7 years agosteemCreated with Sketch.Sophism #12: The Earth is FlatConsider 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…konstantint (48)in math • 7 years agosteemCreated with Sketch.Sophism #11: The Liar's ParadoxThe 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…konstantint (48)in math • 7 years agosteemCreated with Sketch.Sophisms #1-#10: Discussion and SpoilersEdit : 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 (48)in math • 7 years agosteemCreated with Sketch.Sophism #10: Continued FractionsNumber 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 =…konstantint (48)in math • 7 years agosteemCreated with Sketch.Sophism #9: 3=2Consider 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)…konstantint (48)in funny • 7 years agosteemCreated with Sketch.Sophism #8: Cryptocurrency Trading is EvilSophisms come in various shapes and sizes. Some are simple mathematical " find - the - mistake " puzzles . Others are subtle observations , requiring whole theories to resolve them.…konstantint (48)in math • 7 years agosteemCreated with Sketch.Sophism #7: The Arrow ParadoxHomer 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…konstantint (48)in math • 7 years agosteemCreated with Sketch.Sophism #6: The Dichotomy ParadoxOne 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…konstantint (48)in math • 7 years agosteemCreated with Sketch.Sophism #5: Achilles and the TortoiseZeno'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…konstantint (48)in math • 7 years agosteemCreated with Sketch.Sophism #4: Any Two Numbers are EqualConsider 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…konstantint (48)in sophism • 7 years agosteemCreated with Sketch.Sophism #3: Every Number Can Sometimes Be Equal to ZeroLet 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 -…konstantint (48)in math • 7 years agosteemCreated with Sketch.Sophism #2: Free BeerHomer 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…
