Ancient Greek philosophyAncient Greek philosophy arose in the 6th century BC, marking the end of the Greek Dark Ages, a period lasting more than 1,800 years. Greek philosophy continued throughout the Hellenistic period and the period in which Greece and most Greek-inhabited lands were part of the Roman Empire. Philosophy was used to make sense of the world using reason. It dealt with a wide variety of subjects, including astronomy, epistemology, mathematics, political philosophy, ethics, metaphysics, ontology, logic, biology, rhetoric and aesthetics.
Golden ratioIn mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically, for quantities and with , where the Greek letter phi ( or ) denotes the golden ratio. The constant satisfies the quadratic equation and is an irrational number with a value of The golden ratio was called the extreme and mean ratio by Euclid, and the divine proportion by Luca Pacioli, and also goes by several other names.
XenocratesXenocrates (zəˈnɒkrəˌtiːz; Ξενοκράτης; c. 396/5 - 314/3 BC) of Chalcedon was a Greek philosopher, mathematician, and leader (scholarch) of the Platonic Academy from 339/8 to 314/3 BC. His teachings followed those of Plato, which he attempted to define more closely, often with mathematical elements. He distinguished three forms of being: the sensible, the intelligible, and a third compounded of the two, to which correspond respectively, sense, intellect and opinion.
Human physical appearanceHuman physical appearance is the outward phenotype or look of human beings. There are infinite variations in human phenotypes, though society reduces the variability to distinct categories. The physical appearance of humans, in particular those attributes which are regarded as important for physical attractiveness, are believed by anthropologists to affect the development of personality significantly and social relations. Humans are acutely sensitive to their physical appearance.
Intrinsic value (ethics)In ethics, intrinsic value is a property of anything that is valuable on its own. Intrinsic value is in contrast to instrumental value (also known as extrinsic value), which is a property of anything that derives its value from a relation to another intrinsically valuable thing. Intrinsic value is always something that an object has "in itself" or "for its own sake", and is an intrinsic property. An object with intrinsic value may be regarded as an end, or in Kantian terminology, as an end-in-itself.
Nicomachean EthicsThe Nicomachean Ethics (ˌnaɪkɒməˈkiən; ˌnɪkəməˈkiən; Ἠθικὰ Νικομάχεια, Ēthika Nikomacheia) is Aristotle's best-known work on ethics: the science of the good for human life, that which is the goal or end at which all our actions aim. It consists of ten subsections, referred to as books or scrolls, and is closely related to Aristotle's Eudemian Ethics. The work plays a pre-eminent role in explaining Aristotelian ethics. The theme of the work is a Socratic question previously explored in the works of Plato, Aristotle's friend and teacher, about how men should best live.
HippiasHippias of Elis (ˈhɪpiəs; Ἱππίας ὁ Ἠλεῖος; late 5th century BC) was a Greek sophist, and a contemporary of Socrates. With an assurance characteristic of the later sophists, he claimed to be regarded as an authority on all subjects, and lectured on poetry, grammar, history, politics, mathematics, and much else. Most of our knowledge of him is derived from Plato, who characterizes him as vain and arrogant. Hippias was born at Elis in the mid 5th-century BC (c. 460 BC) and was thus a younger contemporary of Protagoras and Socrates.
Phaedrus (dialogue)The Phaedrus (ˈfiːdrəs; Phaidros), written by Plato, is a dialogue between Socrates, and Phaedrus, an interlocutor in several dialogues. The Phaedrus was presumably composed around 370 BC, about the same time as Plato's Republic and Symposium. Although ostensibly about the topic of love, the discussion in the dialogue revolves around the art of rhetoric and how it should be practiced, and dwells on subjects as diverse as metempsychosis (the Greek tradition of reincarnation) and erotic love, and the nature of the human soul shown in the famous Chariot Allegory.
AristippusAristippus of Cyrene (ˌærəˈstɪpəs; Ἀρίστιππος ὁ Κυρηναῖος; c. 435 – c. 356 BCE) was a hedonistic Greek philosopher and the founder of the Cyrenaic school of philosophy. He was a pupil of Socrates, but adopted a different philosophical outlook, teaching that the goal of life was to seek pleasure by adapting circumstances to oneself and by maintaining proper control over both adversity and prosperity. His view that pleasure is the only good came to be called ethical hedonism.
Euthyphro dilemmaThe Euthyphro dilemma is found in Plato's dialogue Euthyphro, in which Socrates asks Euthyphro, "Is the pious (τὸ ὅσιον) loved by the gods because it is pious, or is it pious because it is loved by the gods?" (10a) Although it was originally applied to the ancient Greek pantheon, the dilemma has implications for modern monotheistic religions. Gottfried Leibniz asked whether the good and just "is good and just because God wills it or whether God wills it because it is good and just".
