system
Given the following post, respond as if you're commenting on Reddit:
human
Repeated multiplication is raising a number to a power. Repeated addition is multiplication. Is there anything which repeats in a similar way to form addition?

A clarification, what I was asking for is along the lines of the following: When you add 3+(3+(3+(3+3))), you get 3\*5. When you take 4\*(4\*4), it is the same as 4\^3. This can be extended using Knuth up-arrow notation such that 8\^(8\^(8\^8)) is the same as 8\^\^4, 5\^\^(5\^\^5) is the same as 5 \^^3 3, etc. In this manner, multiplication is similar to zero up arrows, and addition is similar to -1 up arrows. Is there any function which is defined in such a way that 4$(4$4) = 4+3, where $ is the function... that is, a function which is similar to -2 up arrows? And furthermore, is there any function such that 5%(5%(5%5)) = 5$4... that is, -3 up arrows? And so on...
gpt
Addition is repeating incrementing. You can define 2 as the number after 1, 3 as the number after 2, etc, and 5+4 is the same as saying the number after the number after the number after the number after 5.