Aristotle's Topics is a handbook for dialectic, i.e. the exercise for philosophical debates between a questioner and a respondent. Alexander takes the Topics as a sort of handbook teaching how to defend and how attack any philosophical claim against philosophical adversaries. In book 3, Aristotle develops strategies for arguing about comparative claims, in which properties are said to belong to subjects to a greater, lesser, or equal degree. Aristotle illustrates the different argumentative patterns that can be used to establish or refute a comparative claim through one single example: whether something is more or less or equally to be chosen or to be avoided than something else. In his commentary on Topics 3, here translated for the first time into English, Alexander of Aphrodisias spells out Aristotle's text by referring to issues and examples from debates with other philosophical school (especially: the Stoics) of his time. The commentary provides new evidence for Alexander's views on the logic of comparison and is a relatively neglected source for Peripatetic ethics in late antiquity. This volume will be valuable reading for students of Aristotle and of the developments of Peripatetic logic and ethics in late antiquity.

Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic. At each stage of the text, the reader is given an intuition based on standard mathematical practice, which is subsequently developed with clean formal mathematics. Alongside the practical examples, readers learn what can and can't be calculated; for example the correctness of a derivation proving a given sequent can be tested mechanically, but there is no general mechanical test for the existence of a derivation proving the given sequent. The undecidability results are proved rigorously in an optional final chapter, assuming Matiyasevich's theorem characterising the computably enumerable relations. Rigorous proofs of the adequacy and completeness proofs of the relevant logics are provided, with careful attention to the languages involved. Optional sections discuss the classification of mathematical structures by first-order theories; the required theory of cardinality is developed from scratch. Throughout the book there are notes on historical aspects of the material, and connections with linguistics and computer science, and the discussion of syntax and semantics is influenced by modern linguistic approaches. Two basic themes in recent cognitive science studies of actual human reasoning are also introduced. Including extensive exercises and selected solutions, this text is ideal for students in Logic, Mathematics, Philosophy, and Computer Science.

Locating poetry in a philosophy of the everyday, Brett Bourbon continues a tradition of attention to logic in everyday utterances through Wittgenstein, Austin, Quine, and Cavell, arguing that poems are events of form, not just collections of words, which shape everyone's lives. Poems taught in class are formalizations of the everyday poems we live amidst, albeit unknowingly. Bourbon resurrects these poems to construct an anthropology of form that centers everyday poems as events or interruptions within our lives. Expanding our understanding of what a poem is, this book argues that poems be understood as events of form that may depend on words but are not fundamentally constituted by them. This line of thought delves into a poem's linguistic particularity, to ask what a poem is and how we know. By reclaiming arenas previously ceded to essayists and literary writers, Bourbon reveals the care and attention necessary to uncovering the intimate relationship between poems, life, reading and living. A philosophical meditation on the nature of poetry, but also on the meaning of love and the claim of words upon us, Everyday Poetics situates the importance of everyday poems as events in our lives.

In an age of internet scrolling and skimming, where concentration and attention are fast becoming endangered skills, it is timely to think about the act of reading and the many forms that it can take. Slow Philosophy: Reading Against the Institution makes the case for thinking about reading in philosophical terms. Boulous Walker argues that philosophy involves the patient work of thought; in this it resembles the work of art, which invites and implores us to take our time and to engage with the world. At its best, philosophy teaches us to read slowly; in fact, philosophy is the art of reading slowly - and this inevitably clashes with many of our current institutional practices and demands. Slow reading shares something in common with contemporary social movements, such as that devoted to slow food; it offers us ways to engage the complexity of the world. With the help of writers as diverse as Nietzsche, Wittgenstein, Woolf, Adorno, Levinas, Critchley, Beauvoir, Le Doeuff, Irigaray, Cixous, Weil, and others, Boulous Walker offers a foundational text in the emerging field of slow philosophy, one that explores the importance of unhurried time in establishing our institutional encounters with complex and demanding works.

Bernard Bolzano (1781-1850) is increasingly recognized as one of the greatest nineteenth-century philosophers. A philosopher and mathematician of rare talent, he made ground-breaking contributions to logic, the foundations and philosophy of mathematics, metaphysics, and the philosophy of religion. Many of the larger features of later analytic philosophy (but also many of the details) first appear in his work: for example, the separation of logic from psychology, his sophisticated understanding of mathematical proof, his definition of logical consequence, his work on the semantics of natural kind terms, or his anticipations of Cantor's set theory, to name but a few. To his contemporaries, however, he was best known as an intelligent and determined advocate for reform of Church and State. Based in large part on a carefully argued utilitarian practical philosophy, he developed a program for the non-violent reform of the authoritarian institutions of the Hapsburg Empire, a program which he himself helped to set in motion through his teaching and other activities. Rarely has a philosopher had such a great impact on the political culture of his homeland. Persecuted in his lifetime by secular and ecclesiastical authorities, long ignored or misunderstood by philosophers, Bolzano's reputation has nevertheless steadily increased over the past century and a half. Much discussed and respected in Central Europe for over a century, he is finally beginning to receive the recognition he deserves in the English-speaking world. This book provides a comprehensive and detailed critical introduction to Bolzano, covering both his life and works.

Bertrand Russell, (1872 - 1970) was a British philosopher, logician, mathematician, historian, and social critic. Russell's books are excellent for those who have no experience of reading philosophy. This volume contains many of his most notable works: The Problems with Philosophy, The Analysis of the Mind, Mysticism and Logic and other Essays, Political Ideals, The Problem of China, The Practice and Theory of Bolshevism, Proposed Roads to Freedom, Our Knowledge of the External World as a Field for Scientific Method in Philosophy