A virtuoso violinist, conductor, composer, and a professor of mathematics and botany, Francesco Galeazzi (1758–1819) firmly believed that musical education should be clear, demonstrable, and practical. In 1791 and 1796, he published the two volumes of his Elementi teorico-practici di musica, a treatise that demonstrated both his thorough grounding in the work of earlier theorists and his own approach to musical study. The first volume gave precise instructions on the violin and how to play it; the second demonstrated his command of other instruments and genres and provided comprehensive introductions to music theory, music history, and music aesthetics. The treatise also addresses the nature of compositional process and eighteenth-century concerns about natural and acquired talent and creativity. This volume offers an unprecedented English translation of the second volume of Elementi teorico-practici di musica, with annotations and commentary. The translation is introduced with a study of Galeazzi's life and milieu, the genesis and sources for the Elementi, and its reception through the present day.

Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.