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RepliCount Programmed in Scheme
This post describes the implementation of the HyperOpreation Function, aka Ackermann’s Function, which I call RepliCount, in the Scheme Programming Language. RepliCount is a recursive function that performs arithmetic operations on natural numbers by reducing the operation by stages to … Continue reading
Posted in STEM
Tagged Ackermann's Function, addition, exponentiation, hyperoperation, math, multiplication, Peano, recursion, successor function, tetration
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RepliCount: A Recursive Function for Natural Number Arithmetic
ABSTRACT: We demonstrate a single recursive function, a variation of Ackermann’s Function, that represents the operations of natural number arithmetic–addition, multiplication, power, and even higher-order operations such as “tower”–in terms of only the elementary concepts of the Peano Postulates, including … Continue reading
Posted in STEM
Tagged Ackermann's Function, addition, exponentiation, hyperoperation, hyperoperations, math, multiplication, Peano, power, recursion, successor function, tetration
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What is Multiplication?
Is multiplication a “closed” mathematical operation? If not, what is it? QUIZ: Question 1. What is 3 apples plus 2 apples? Answer 1: 5 apples? Question 2: What is 3 apples plus 2 oranges? Answer 2: You can’t add apples … Continue reading