further clarification of terms:
"Ther are no databases within Oracle" - WRONG!
an Oracle instance, which is a set of processes (pmon, etc.) with a shared memory segment (a.k.a. SGA), mounts an Oracle database, a set of related control/data/log files. an Oracle instance mounts & uses one and only one Oracle database (strictly speaking; yes, I know all about replication , links & AQ). multiple instances can mount the same database (OPS, RAC, etc.) but not the other way. it is true that what M$ calls a database is more analagous to what Oracle calls a tablespace but the term is applicable (ever done an ALTER DATABASE... ?).
"There are schemas within the instance" - WRONG!
schemas exist within an Oracle DATABASE, not an instance. again, an "instance" is a set of processes & shared memory which use a database.
an instance can be seen by (shell):
pf -ef | grep $ORACLE_SID
ipcs
a database can be seen by (sqlplus):
set pagesize 0
select 'ls -l '||name from v$controlfile;
select 'ls -l '||name from v$datafile;
select 'ls -l '||member from v$logfile;
then exit back to shell & paste output (or don't if you're uncomfortable w/shell operations)
not trying to flame but people in glass houses...