Mathematical knowledge and moral knowledge (or normative knowledge more generally) can seem intuitively puzzling in similar ways. For example, taking apparent human knowledge of either domain at face value can seem to require accepting that we benefited from some massive and mysterious coincidence. In the mathematical case, a pluralist partial response to access worries has been widely popular. In this paper, I will develop and address a worry, suggested by some works in the recent literature like (Clarke-Doane, 2020 ), that (...) connections between ought facts and action prevent us from giving a similarly pluralist response to moral access worries. (shrink)

The present book addresses the background, rationale, general structure, and particular aims and arguments characterizing our third and last volume about "humor" and "cruelty". A guiding foray is provided into the vast expert literature that can be retrieved in the Western humanities and social sciences on these two terms. Pivotal thinkers and crucial notions are duly identified, highlighted, and examined. Apposite subsidiary references are also included, especially with regard to psychodynamics and clinical psychology, existentialism, feminism, liberalism, Marxism, and representative recent (...) studies in the philosophy of humor and its cognates. The stage is thus set for the exploration and assessment of the conflicts between humor and cruelty unfolding in Part 2 of Volume 3. Being the philosophical terminus of our entire research project, Volume 3 counterbalances, complements, and, occasionally, complexifies the numerous forms of mutual cooperation between humor and cruelty that the preceding Volume 2 had unearthed and discussed. (shrink)

Part 2 of Volume 3 addresses in detail the conflicts between humor and cruelty, i.e., how cruelty can be unleashed against humor and, conversely, humor can be utilized against cruelty. Potent enmities to mirth and jollity are retrieved from a variety of socio-historical contexts, ranging from Europe’s medieval monasteries to the 2015 Charlie Hebdo massacre. Special attention is paid to the cruel humor and humorous cruelty arising thereof, insofar as such phenomena can reveal critical aspects of today’s neoliberal socio-economic order. (...) In parallel, settings where humor has been used as an instrument to cope with suffered cruelty, whether natural or human in origin, are also retrieved and discussed. These also vary greatly and encompass domains such as hospital wards, 20th-century Jewish ghettoes, and contemporary funeral homes. A set of concluding reflections is then offered on the psychological, theological, ethical, and metaphysical roots of humor—and its cruel rejection. (shrink)

Disagreements that resist rational resolution, often termed “deep disagreements”, have been the focus of much work in epistemology and informal logic. In this paper, I argue that they also deserve the attention of philosophers of mathematics. I link the question of whether there can be deep disagreements in mathematics to a more familiar debate over whether there can be revolutions in mathematics. I propose an affirmative answer to both questions, using the controversy over Shinichi Mochizuki’s work on the abc conjecture (...) as a potential example of both phenomena. I conclude by investigating the prospects for the resolution of mathematical deep disagreements in virtue-theoretic approaches to informal logic and mathematical practice. (shrink)