Skip to main content

Posts

Showing posts from September, 2021

Gödel’s Incompleteness Theorem: The paradox

 Consider the following sentence: “ This statement is false ”  Is that true? 😧 If so, that would make this statement false. But if it’s false, then the statement is true.  By referring to itself directly, this statement creates an unresolvable paradox.  So if it’s not true and it’s not false—what is it?

Teacher's day

Why can't you divide by Zero?

  In the world of math, many strange results are possible when we change the rules. But there’s one rule that most of us have been warned not to break: don’t divide by zero. 

Konigsberg bridge problem - A Documentary

 You'd have a hard time finding Königsberg on any modern maps, but one particular quirk in its geography has made it one of the most famous cities in mathematics.  View Documentary from here 👉 The medieval German city lay on both sidesof the Pregel River. At the center were two large islands. The two islands were connected to each other and to the river banks by seven bridges. Carl Gottlieb Ehler, a mathematician wholater became the mayor of a nearby town, grew obsessed with these islands and bridges.  He kept coming back to a single question: Which route would allow someoneto cross all seven bridges without crossing any of them more than once? Think about it for a moment. You should Give up.   It's not possible.  But attempting to explain why, famous mathematician Leonhard Euler to invent a new field of mathematics.  Carl wrote to Euler for helpwith the problem. The answer he came up with had to do with a type of g