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Egalitarianism Are all persons of equal moral worth? Is variation in income and wealth just? Does it matter that the allocation of income and wealth is shaped by undeserved luck? No one deserves the family into which they are born, their innate abilities, or their starting place in society, yet these have a dramatic impact on life outcomes. Keeping in mind the extreme inequality in
Reductio ad Absurdum Reductio ad absurdum is a mode of argumentation that seeks to establish a contention by deriving an absurdity from its denial, thus arguing that a thesis must be accepted because its rejection would be untenable. It is a style of reasoning that has been employed throughout the history of mathematics and philosophy from classical antiquity onwards. Table of Contents Basic Ideas The
Inconsistent Mathematics Inconsistent mathematics is the study of commonplace mathematical objects, like sets, numbers, and functions, where some contradictions are allowed. Tools from formal logic are used to make sure any contradictions are contained and that the overall theories remain coherent. Inconsistent mathematics began as a response to the set theoretic and semantic paradoxes such as Russell’s Paradox and the Liar Paradox—the response being that
Epistemic Luck Epistemic luck is a generic notion used to describe any of a number of ways in which it can be accidental, coincidental, or fortuitous that a person has a true belief. For example, one can form a true belief as a result of a lucky guess, as when one believes through guesswork that “C” is the right answer to a multiple-choice question and
Presocratics Presocratic philosophers are the Western thinkers preceding Socrates (c. 469-c. 399 B.C.E.) but including some thinkers who were roughly contemporary with Socrates, such as Protagoras (c. 490-c. 420 B.C.E.). The application of the term “philosophy” to the Presocratics is somewhat anachronistic, but is certainly different from how many people currently think of philosophy. The Presocratics were interested in a wide variety of topics, especially
Chauncey Wright (1830—1875) Chauncey Wright, an American mathematician, philosopher, and intellectual catalyst of the Septum and the Metaphysical club at Cambridge, was a great influence on Charles Sanders Peirce, William James, Oliver Wendell Holmes, and Nicholas St. John Green. Unfortunately, Wright’s untimely death at the age of forty-five severed his growing influence on the direction of early-classical American philosophy, just when his intellectual powers were