The spelling of the word "Paxson" follows the English language's phonetic rules. Using IPA phonetic transcription, "Paxson" is pronounced as /pæksən/. The "P" is pronounced as /p/, the "A" is pronounced as /æ/, and the "X" is pronounced as /ks/. The "S" is not pronounced as /z/ because it ends the word, and therefore must be pronounced as /s/. Likewise, the "O" is not pronounced because there is no vowel sound marked after the letter "X." As a result, the correct spelling is "Paxson," reflecting its pronunciation.