This is the 668th most frequent Polish word.
adam
"Adam" in Polish is a proper noun, primarily used as a male first name, equivalent to "Adam" in English.
'Adam' is a proper noun, specifically a name, used here as the subject of the verb 'mieszka', meaning 'lives'.
Adam mieszka w Krakowie.
Adam lives in Krakow.
'Adam' functions as a proper noun indicating a name given to the cat by the speaker.
Zaadoptowałem kota i nazwałem go Adam.
I adopted a cat and named him Adam.
'adam' is not used here, but 'dam,' which is a verb form meaning 'I will give', unrelated to the name Adam. This demonstrates the importance of distinguishing between the name 'Adam' and the verb 'dam'.