I've been doing some googling and it looks like syslog is something that I run on every machine, and then it passes the results of its logging to the Raspberry

I've been doing some googling and it looks like syslog is something that I run on every machine, and then it passes the results of its logging to the Raspberry Pi for collation and possible inspection later on. Have I got the basic gist of it? Thanks for the answer, greatly appreciated. :-)