Past exam of the mathematics course of the University of Cambridge / 2019 / ii / Paper 2 / 16I / i

Table of contents
- Solution i

Solution

Always true. The synthetic definition identifies both sides with the order type obtained by concatenating well-orders of types

α

,

β

, and

γ

in that order. Thus ordinal addition is associative:

α + (β + γ) = (α + β) + γ .

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