3 ms·

foo times boo ...means you are adding foo, boo times... see[1]@[2] so it's a kinda shortcut. [1] https://wikimedia.org/api/rest_v1/media/math/render/svg/e12e0e

by gilcot 3y ago

foo times boo ...means you are adding foo, boo times... see[1]@[2] so it's a kinda shortcut. [1] https://wikimedia.org/api/rest_v1/media/math/render/svg/e12e0ec9572a5430da7af15b101284975d36f19c https://wikimedia.org/api/rest_v1/media/math/render/svg/e12e... [2] https://en.wikipedia.org/wiki/Multiplication https://en.wikipedia.org/wiki/Multiplication Similar relation between exponentiation (power) and multiplication... see[3]@[4] [3] https://wikimedia.org/api/rest_v1/media/math/render/svg/dcb8949e2c2dbe952c87d89e208b8018f107ad79 https://wikimedia.org/api/rest_v1/media/math/render/svg/dcb8... [4] https://en.wikipedia.org/wiki/Exponentiation https://en.wikipedia.org/wiki/Exponentiation

pyinstallwoes 3y ago
Given that multiplication is repeated addition, then division is repeated subtraction.
- revskill 3y ago
  So x / 0 should be equal to x right ? Because you substract x zero time.
  - pyinstallwoes 3y ago
    I similarly went down that route and found the answer to be at least plausibly more definitive than undefined. It also still reaches an intuition on what dividing by zero means, and it is not that it equals zero, but that the amount of cycles to do are 0. As in index is still 0 in the array.
- gilcot 3y ago
  Ah ha... :) I wouldn't see division as exact opposite (or symmetrical inverse) of multiplication. Multiplication is both left-distributive and right-distributive, and thus distributive. Unlike multiplication and addition, division is not commutative, neither associative in general.
  - pyinstallwoes 3y ago
    It seems as my logic holds in the sense and case that it is “an inversion of meaning in some way” - whether that can be argued as an opposite, inversion, chiral disposition towards 0 or away from 0, who knows! But most intriguingly it applies that subtraction and division don’t have the properties you mention which is a symmetric “anti” feature of these operators and seemingly can be reduced to the primitive function of addition or subtraction as multiplication and division are just meta operators acting as a loop. At least this is how I’m viewing it. There’s an intuitive sense that symmetry breaks when you take away (reduce) compared to add which is in parts of a whole. And then to realize you can use addition to implement subtraction is where my brain starts to melt even though it’s relatively straight forward. Everything is just addition, the holy monad, the primordial dimensionless unit.

by gilcot 3y ago

pyinstallwoes 3y ago

Given that multiplication is repeated addition, then division is repeated subtraction.

revskill 3y ago
So x / 0 should be equal to x right ? Because you substract x zero time.
- pyinstallwoes 3y ago
  I similarly went down that route and found the answer to be at least plausibly more definitive than undefined. It also still reaches an intuition on what dividing by zero means, and it is not that it equals zero, but that the amount of cycles to do are 0. As in index is still 0 in the array.
gilcot 3y ago
Ah ha... :) I wouldn't see division as exact opposite (or symmetrical inverse) of multiplication. Multiplication is both left-distributive and right-distributive, and thus distributive. Unlike multiplication and addition, division is not commutative, neither associative in general.
- pyinstallwoes 3y ago
  It seems as my logic holds in the sense and case that it is “an inversion of meaning in some way” - whether that can be argued as an opposite, inversion, chiral disposition towards 0 or away from 0, who knows! But most intriguingly it applies that subtraction and division don’t have the properties you mention which is a symmetric “anti” feature of these operators and seemingly can be reduced to the primitive function of addition or subtraction as multiplication and division are just meta operators acting as a loop. At least this is how I’m viewing it. There’s an intuitive sense that symmetry breaks when you take away (reduce) compared to add which is in parts of a whole. And then to realize you can use addition to implement subtraction is where my brain starts to melt even though it’s relatively straight forward. Everything is just addition, the holy monad, the primordial dimensionless unit.