nmap: what does "state = closed" means - nmap

Question

I am trying nmap command on two remote hosts public ip address
~ % nmap (remote host1 - public ip)
Starting Nmap 7.91 ( https://nmap.org ) at 2021-03-23 20:08 EDT
Nmap scan report for openrg (remote host1 - public ip)
Host is up (0.0093s latency).
Not shown: 994 closed ports
PORT STATE SERVICE
443/tcp open https
515/tcp open printer
631/tcp open ipp
4567/tcp open tram
8080/tcp open http-proxy
8443/tcp open https-alt
~ % nmap (remote host2 - public ip)
Starting Nmap 7.91 ( https://nmap.org ) at 2021-03-23 20:09 EDT
Nmap scan report for (remote host2 - public ip)
Host is up (0.023s latency).
Not shown: 996 filtered ports
PORT STATE SERVICE
80/tcp open http
445/tcp closed microsoft-ds
8000/tcp open http-alt
8080/tcp closed http-proxy
I am looking for the port 8080
in host1 it shows STATE = open and in host2 it shows STATE = closed
what does http-proxy means here.

Answer 1

nmap tries to tell the type of service (process running) that is listening the port based on well-known services. That means that the service it is running on 8080 is "probably" an http-proxy server. This recognition is based on a database that associates the port number with this service, so it does not guarantee it is an http-proxy indeed, but guess it.
See Nmap Service and Version Detection.
The closed state means that the port is accessible from nmap probe packets but there is no application listening on it. See Nmap Port Scanning Basics