Understanding Recursion in Mathematics: The Core of Peano Arithmetic
By
nill0
Pure flour-power. Hearty enough to carry you through lunch.
Summary
The article discusses the concept of recursion in mathematics, particularly in the context of the arithmetic of natural numbers. It highlights the subtle nature of recursion and its connection to the transition from finite to infinite sets.
Key quotes
· 3 pulledRecursion is ubiquitous in modern mathematics, even at the most basic level of the analysis of the arithmetic of natural numbers.
At its heart is the always problematic step from the finite to the infinite.
Having taught set theory and the foundations of mathematics for many years at various universities, I long ago learned that many students never
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