Infinitely More β’ 25 implied HN points β’ 09 Jun 25
- The function concept in mathematics has evolved a lot, allowing for more abstract definitions. This means mathematicians can explore complex ideas that go beyond simple rules and formulas.
- Examples like the Devil's staircase and space-filling curves challenge our understanding of functions. These unique functions have properties that seem strange and unexpected compared to our usual ideas of what a function should be.
- The Conway function shows how every real number can be linked to another number in a complex way. It helps to illustrate that functions don't always need a clear formula and can still be valid in mathematics.