"the science of life and living things," 1819, from Greek bios "life, one's life, lifetime" (from PIE root *gwei- "to live;" see bio-) + -logy "study of." Suggested 1802 by German naturalist Gottfried Reinhold Treviranus, and introduced as a scientific term that year in French by Lamarck; they seem to have hit upon the word independently.
word-forming element making nouns implying a practice, system, doctrine, etc., from French -isme or directly from Latin -isma, -ismus (source also of Italian, Spanish -ismo, Dutch, German -ismus), from Greek -ismos, noun ending signifying the practice or teaching of a thing, from the stem of verbs in -izein, a verb-forming element denoting the doing of the noun or adjective to which it is attached. For distinction of use, see -ity. The related Greek suffix -isma(t)- affects some forms.
<a href="https://www.etymonline.com/word/biologism">Etymology of biologism by etymonline</a>
Harper, D. (n.d.). Etymology of biologism. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/biologism