Does anyone understand the notation $\lambda i$ circled in this image?
It is found in Logic and Structure By Dirk van Dalen, in the section on Ultraproducts. I can't find any clue as to what that notation is.
2026-04-14 19:16:22.1776194182
Logical notation in Ultraproducts Section of Book $\lambda i$. What does it mean?
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That looks like a lambda-abstraction in the lambda calculus that was introduced by Alonzo Church. It is a way of writing an anonymous function. For example $\lambda i. M$ is an abstraction that can be applied to an argument $N$, so that $N$ replaces every free occurrence of $i$ in $M$. That operation is called $\beta$-reduction. Have a look at https://en.wikipedia.org/wiki/Lambda_calculus as a start.