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Wolff uses the term "First Philosophy" (original: "Philosophia Prima") in the tradition of Aristotle to denote the study of the most fundamental principles of reality. The "Scientific Method" mentioned here refers to Wolff's "mathematical method," where philosophy is presented as a series of rigorous, logical deductions similar to geometry.
The name "De Murr" appears to be a later handwritten addition, likely referring to Christoph Gottlieb von Murr (1733–1811), a famous German scholar and collector who may have once owned this volume.
The abbreviation "P. T." (original: "pro tempore") means "for the time being" or "currently," indicating Wolff was the presiding Dean of the faculty at the time of publication.
Christian Wolff (1679–1754) was the most influential German philosopher between Leibniz and Kant. His titles here reflect his high status as both a government advisor and a member of the leading European scientific academies of the Enlightenment.
The Renger family (original: "Officina Libraria Rengeriana") was a major academic publishing house in Halle and Leipzig, known for producing the works of the leading Enlightenment thinkers.