Epicurus (341—271 B.C.E.) Epicurus is one of the major philosophers in the Hellenistic period, the three centuries following the death of Alexander the Great in 323 B.C.E. (and of Aristotle in 322 B.C.E.). Epicurus developed an unsparingly materialistic metaphysics, empiricist epistemology, and hedonistic ethics. Epicurus taught that the basic constituents of the world are atoms, uncuttable bits of matter, flying through empty space, and he

Deshoulières, Antoinette du Ligier de la Garde (1638—1694) A major poet during the reign of Louis XIV in France, Madame Deshoulières used her writings to defend philosophical naturalism. Like her intellectual model Lucretius, she employed verse to argue that natural causes can adequately explain such apparently spiritual phenomena as thought, volition, and love. In metaphysics, Deshoulières argues that the real is comprised of variations of

Duality in Logic and Language Duality phenomena occur in nearly all mathematically formalized disciplines, such as algebra, geometry, logic and natural language semantics. However, many of these disciplines use the term ‘duality’ in vastly different senses, and while some of these senses are intimately connected to each other, others seem to be entirely unrelated. Consequently, if the term ‘duality’ is used in two different senses

Everettian Interpretations of Quantum Mechanics Between the 1920s and the 1950s, the mathematical results of quantum mechanics were interpreted according to what is often referred to as “the standard interpretation” or the “Copenhagen interpretation.” This interpretation is known as the “collapse interpretation” because it supposes that an observer external to a system causes the system, upon observation, to collapse from a quantum mechanical state to

Haskell Brooks Curry (1900-1982) Haskell Brooks Curry was a mathematical logician who developed a distinct philosophy of mathematics. Most of his work was technical: he was the major developer of combinatory logic, which nowadays plays a role in theoretical computer science. This formalism was originally intended to be a basis for a system of symbolic logic in the usual sense, but the original system turned

The Applicability of Mathematics The applicability of mathematics can lie anywhere on a spectrum from the completely trivial to the utterly mysterious. At the one extreme, mathematics is used outside of mathematics in cases which range from everyday calculations like the attempt to balance one’s checkbook through the most demanding abstract modeling of subatomic particles. The techniques underlying these applications are perfectly clear to those