Secure SSH - Passwordless logins more secure? [migrated]

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http://serverfault.com – We had a long discussion if Key-based authentication with SSH (particularly OpenSSH) is more secure than with passwords. My co-workers always connect to servers with passwords; while I prefer to log in to a system without entering the password every time. They have fear that it is not secure to connect without a password. What should I tell them? For me, passwords are bad because they could be brute-forced or captured with a keylogger. I used the ssh-copy-id tool to copy my public key to the server. I simply connect via a ssh servername. In fact, I only have to enter the password for my priv (HowTos)