This chapter gives a survey of the field of philosophy where the philosophical foundations of modern logic were discussed and where such themes of logic were discussed that were on the borderline between logic and other branches of the philosophical enterprise, such as metaphysics and epistemology. The contributions made by Gottlob Frege and Charles Peirce are included since their work in logic is closely related to and also strongly motivated by their philosophical views and interests. In addition, the chapter pays attention to a few philosophers to whom logic amounted to traditional Aristotelian logic and to those who commented on the nature of logic from a philosophical perspective without making any significant contribution to the development of formal logic.
Logic and Philosophy of Logic from Humanism to Kant
This chapter begins with a discussion of humanist criticisms of scholastic logic. It then discusses the evolution of the scholastic tradition and the influence of Renaissance Aristotelianism, Descartes and his influence, the Port-Royal Logic, the emergence of a logic of cognitive faculties, logic and mathematics in the late 17th century, Gottfried Wilhelm Leibniz’s role in the history of formal logic, and Kant’s influence on logic.
Indian Logic
The chapter is an overview of Indian logic, with a general introduction followed by specialized sections on four different schools: Nyāya logic, Buddhist logic, Jaina logic, and Navya-Nyāya logic.
Logic and Natural Language
Logicians have always found inspiration for new research in the ordinary language that is used on a daily basis and acquired naturally in childhood. Whereas the logical issues in the foundations of mathematics motivated the development of mathematical logic with its emphasis on notions of proof, validity, axiomatization, decidability, consistency, and completeness, the logical analysis of natural language motivated the development of philosophical logic with its emphasis on semantic notions of presupposition, entailment, modality, conditionals, and intensionality. The relation between research programs in both mathematical and philosophical logic and natural language syntax and semantics as branches of theoretical linguistics has increased in importance throughout the last fifty years. This chapter reviews the development of one particularly interesting and lively area of interaction between formal logic and linguistics—the semantics of natural language. Research in this emergent field has proved fruitful for the development of empirically, cognitively adequate models of reasoning with partial information, sharing or exchanging information, dynamic interpretation in context, belief revision and other cognitive processes.
Truth
The concept of truth serves in logic not only as an instrument but also as an object of study. Eubulides of Miletus (fl. fourth century BCE), a Megarian logician, discovered the paradox known as ‘the Liar,’ and, ever since his discovery, logicians down the ages – Aristotle and Chrysippus, John Buridan and William Heytesbury, and Alfred Tarski and Saul Kripke, to mention just a few – have tried to understand the puzzling behavior of the concept of truth.
Towards a Feminist Logic: Val Plumwood’s Legacy and Beyond
Val Plumwood’s 1993 paper, “The politics of reason: towards a feminist logic” (hence- forth POR) attempted to set the stage for what she hoped would begin serious feminist exploration into formal logic – not merely its historical abuses, but, more importantly, its potential uses. This work offers us: (1) a case for there being feminist logic; and (2) a sketch of what it should resemble. The former goal of Plumwood’s paper encourages feminist theorists to reject anti-logic feminist views. The paper’s latter aim is even more challenging. Plumwood’s critique of classical negation (and classical logic) as a logic of domination asks us to recognize that particular logical systems are weapons of oppression. Against anti-logic feminist theorists, Plumwood argues that there are other logics besides classical logic, such as relevant logics, which are suited for feminist theorizing. Some logics may oppress while others may liberate. We provide details about the sources and context for her rejection of classical logic and motivation for promoting relevant logics as feminist.
Logic: A Feminist Approach
This chapter asks whether there is any such thing as feminist logic. It defines feminism and logic, and then goes on to present and evaluate four possible views, introducing and critiquing the work of Andrea Nye, Val Plumwood, and Susan Stebbing. It argues that Stebbing’s approach—on which feminism is one among many political applications of logic—is correct, but that feminist logic could do more, by providing a formal framework for the study of social hierarchies, much as it presently provides a formal framework for the study of numbers and similarity rankings among possible worlds.
Black Feminist Thought: Knowledge, Consciousness, and the Politics of Empowerment
In spite of the double burden of racial and gender discrimination, African-American women have developed a rich intellectual tradition that is not widely known. In Black Feminist Thought, originally published in 1990, Patricia Hill Collins set out to explore the words and ideas of Black feminist intellectuals and writers, both within the academy and without. Here Collins provides an interpretive framework for the work of such prominent Black feminist thinkers as Angela Davis, bell hooks, Alice Walker, and Audre Lorde. Drawing from fiction, poetry, music and oral history, the result is a superbly crafted and revolutionary book that provided the first synthetic overview of Black feminist thought and its canon.
Critical Phenomenology
Phenomenology, the philosophical method that seeks to uncover the taken-for-granted presuppositions, habits, and norms that structure everyday experience, is increasingly framed by ethical and political concerns. Critical phenomenology foregrounds experiences of marginalization, oppression, and power in order to identify and transform common experiences of injustice that render “the familiar” a site of oppression for many. In Fifty Concepts for a Critical Phenomenology, leading scholars present fresh readings of classic phenomenological topics and introduce newer concepts developed by feminist theorists, critical race theorists, disability theorists, and queer and trans theorists that capture aspects of lived experience that have traditionally been neglected. By centering historically marginalized perspectives, the chapters in this book breathe new life into the phenomenological tradition and reveal its ethical, social, and political promise. This volume will be an invaluable resource for teaching and research in continental philosophy; feminist, gender, and sexuality studies; critical race theory; disability studies; cultural studies; and critical theory more generally.
Lynch Law in America
The first major anthology to trace the development of Black Feminist thought in the United States, Words of Fire is Beverly Guy-Sheftall’s comprehensive collection of writings by more than sixty Black women. From the pioneering work of abolitionist Maria Miller Stewart and anti-lynching crusader Ida Wells-Barnett to the writings of feminist critics Michele Wallace and bell hooks, Black women have been writing about the multiple jeopardies—racism, sexism, and classism—that have made it imperative to forge a brand of feminism uniquely their own. In the words of Audre Lorde, “the master’s tools will never dismantle the master’s house”—Words of Fire provides the tools to dismantle the interlocking systems that oppress us and to rebuild from their ashes a society of true freedom.