The following notes are from the Ramsey DocCourse in Prague 2016. The notes are taken by me and I have edited them. In the process I may have introduced some errors; email me or comment below and I will happily fix them.

**Title**: Bootcamp (4 of 6)

**Lecturer**: Jaroslav Nešetřil

**Date**: Monday September 26, 2016.

**Main Topics**: Graphs have the ordering property, Ordered Edge-Ramsey implies Ordering property, Graphs are not Ramsey, Amalgamation for Ramsey classes, the product argument, Hilbert’s Theorem.

**Definitions:** Joint Embedding Property, Amalgamation Property, statement of Hilbert’s Theorem.