# The λ-Calculus

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## Talk Description

The Malta Mathematical Society organises monthly lectures open to the public to encourage research in mathematics both professionally and recreationally. In December 2019, I gave a lecture on Church’s $\lambda$-calculus. The $\lambda$-calculus is a very simple formal language which is expressive enough to serve as a foundation for mathematical logic. In the talk, I discussed what a formal language is, explored some of the history of mathematical logic and finally demonstrated how the lambda calculus can model various mathematical structures. The $\bf Y$ combinator was also mentioned briefly.