The Study of Counterpoint


Johann Joseph Fux - 1965
    J. S. Bach held it in high esteem, Leopold Mozart trained his famous son from its pages, Haydn worked out every lesson with meticulous care, and Beethoven condensed it into an abstract for ready reference.

Finding Meaning in an Imperfect World


Iddo Landau - 2017
    After all, few of us devote our lives fully to pursuits that are indisputably meaningful. Even if we are teachers, doctors, or social justice advocates, and the positive effects of our labor are daily evident, there are moments in which we face the mundane, the illogically cruel, and the tragic, which leave us to question the value of our lives. But even still, Iddo Landau argues, our lives are in fact meaningful- we've just been setting the bar too high for evaluating what meaning there is.When it comes to meaning in life, Landau explains, we have let perfect become the enemy of the good. We have failed to find perfectly meaningful lives, and therefore have despaired of living. We must attune ourselves to discovering and appreciating the meaning that abounds in our lives, and Landau shows us how to do that.In this warmly written book, rich with examples from the author's life, film, literature, and history, Landau offers uplifting new theories and practical advice that awaken us to the meaning already present. He fearlessly confronts prevailing nihilist ideas that undermine our existence, and the questions that dog us no matter what we believe. While exposing the weaknesses of ideas that lead many to despair, he builds a strong case for why it is imperative we have more hope. Along the way, he faces provocative questions: Would we choose to live forever if we could? Does death render life meaningless? If we examine it in the context of the immensity of the whole universe, can we consider life meaningful? If we feel empty once we achieve our goals, and the pursuit of these goals is what gives us a sense of meaning, then what can we do? A genuine and important contribution to the philosophical literature on the meaning of life, Finding Meaning in an Imperfect World may alter the way you understand your life.

Philosophy of Mathematics: Selected Readings


Paul Benacerraf - 1983
    In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Godel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.