In logic, the law of non-contradiction (LNC) states that contradictory propositions cannot both be true in the same sense at the same time, e. g. the two propositions "p is the case" and "p is not the case" are mutually exclusive. Formally, this is expressed as the tautology ¬(p ∧ ¬p). The law is not to be confused with the law of excluded middle which states that at least one, "p is the case" or "p is not the case", holds.
Plato was an ancient Greek philosopher of the Classical period who is considered a top thinker in Philosophy. Plato founded the Academy, a philosophical school in Athens where Plato taught the doctrines that would later become known as Platonism. The philosopher was an innovator of the written dialogue and dialectic forms in philosophy. He was a system-builder. He also raised problems for what became all the major areas of both theoretical philosophy and practical philosophy.
Parmenides of Elea was a pre-Socratic Greek philosopher from Elea in Magna Graecia.
Pre-Socratic philosophy, also known as Early Greek Philosophy, is ancient Greek philosophy before Socrates. Pre-Socratic philosophers were mostly interested in cosmology, the beginning and the substance of the universe, but the inquiries of these early philosophers spanned the workings of the natural world as well as human society, ethics, and religion. They sought explanations based on natural law rather than the actions of gods. Their work and writing has been almost entirely lost. Knowledge of their views comes from testimonia, i.e. later authors' discussions of the work of pre-Socratics. Philosophy found fertile ground in the ancient Greek world because of the close ties with neighboring civilizations and the rise of autonomous civil entities, poleis.
A sophist was a teacher in ancient Greece in the fifth and fourth centuries BCE. Sophists specialized in one or more subject areas, such as philosophy, rhetoric, music, athletics and mathematics. They taught arete, "virtue" or "excellence", predominantly to young statesmen and nobility.
The Socratic method is a form of argumentative dialogue between individuals, based on asking and answering questions.
Dialectic, also known as the dialectical method, refers originally to dialogue between people holding different points of view about a subject but wishing to arrive at the truth through reasoned argumentation. Dialectic resembles debate, but the concept excludes subjective elements such as emotional appeal and rhetoric. It has its origins in ancient philosophy and continued to be developed in the Middle Ages.
Ancient Greek philosophy arose in the 6th century BC. 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. Greek philosophy continued throughout the Hellenistic period and later evolved into Roman philosophy.
The Symposium is a philosophical text by Plato, dated c. 385–370 BC. It depicts a friendly contest of extemporaneous speeches given by a group of notable men attending a banquet. The men include the philosopher Socrates, the general and political figure Alcibiades, and the comic playwright Aristophanes. The speeches are to be given in praise of Eros, the god of love and desire.
Edward Charles Francis Publius de Bono was a Maltese physician and commentator. He originated the term lateral thinking, wrote many books on thinking including Six Thinking Hats.
Meno is a Socratic dialogue written by Plato. Meno begins the dialogue by asking Socrates whether virtue is taught, acquired by practice, or comes by nature. In order to determine whether virtue is teachable or not, Socrates tells Meno that they first need to determine what virtue is. When the characters speak of virtue, or rather arete, they refer to virtue in general, rather than particular virtues, such as justice or temperance. The first part of the work showcases Socratic dialectical style; Meno, unable to adequately define virtue, is reduced to confusion or aporia. Socrates suggests that they seek an adequate definition for virtue together. In response, Meno suggests that it is impossible to seek what one does not know, because one will be unable to determine whether one has found it.
Euclid of Megara was a Greek Socratic philosopher who founded the Megarian school of philosophy. He was a pupil of Socrates in the late 5th century BC, and was present at his death. He held the supreme good to be one, eternal and unchangeable, and denied the existence of anything contrary to the good. Editors and translators in the Middle Ages often confused him with Euclid of Alexandria when discussing the latter's Elements.
In historical scholarship, the Socratic problem concerns attempts at reconstructing a historical and philosophical image of Socrates based on the variable, and sometimes contradictory, nature of the existing sources on his life. Scholars rely upon extant sources, such as those of contemporaries like Aristophanes or disciples of Socrates like Plato and Xenophon, for knowing anything about Socrates. However, these sources contain contradictory details of his life, words, and beliefs when taken together. This complicates the attempts at reconstructing the beliefs and philosophical views held by the historical Socrates. It has become apparent to scholarship that this problem is seemingly impossible to clarify and thus perhaps now classified as unsolvable. Early proposed solutions to the matter still pose significant problems today.
Socratic dialogue is a genre of literary prose developed in Greece at the turn of the fourth century BC. The earliest ones are preserved in the works of Plato and Xenophon and all involve Socrates as the protagonist. These dialogues, and subsequent ones in the genre, present a discussion of moral and philosophical problems between two or more individuals illustrating the application of the Socratic method. The dialogues may be either dramatic or narrative. While Socrates is often the main participant, his presence in the dialogue is not essential to the genre.
The Megarian school of philosophy, which flourished in the 4th century BC, was founded by Euclides of Megara, one of the pupils of Socrates. Its ethical teachings were derived from Socrates, recognizing a single good, which was apparently combined with the Eleatic doctrine of Unity. Some of Euclides' successors developed logic to such an extent that they became a separate school, known as the Dialectical school. Their work on modal logic, logical conditionals, and propositional logic played an important role in the development of logic in antiquity.
Doxography is a term used especially for the works of classical historians, describing the points of view of past philosophers and scientists. The term was coined by the German classical scholar Hermann Alexander Diels.
The Sophist is a Platonic dialogue from the philosopher's late period, most likely written in 360 BC. In it the interlocutors, led by Eleatic Stranger employ the method of division in order to classify and define the sophist and describe his essential attributes and differentia vis a vis the philosopher and statesman. Like its sequel, the Statesman, the dialogue is unusual in that Socrates is present but plays only a minor role. Instead, the Eleatic Stranger takes the lead in the discussion. Because Socrates is silent, it is difficult to attribute the views put forward by the Eleatic Stranger to Plato, beyond the difficulty inherent in taking any character to be an author's "mouthpiece".
"I know that I know nothing" is a saying derived from Plato's account of the Greek philosopher Socrates: "For I was conscious that I knew practically nothing...". It is also sometimes called the Socratic paradox, although this name is often instead used to refer to other seemingly paradoxical claims made by Socrates in Plato's dialogues.
Socrates was a Greek philosopher from Athens who is credited as the founder of Western philosophy and among the first moral philosophers of the ethical tradition of thought. An enigmatic figure, Socrates authored no texts and is known mainly through the posthumous accounts of classical writers, particularly his students Plato and Xenophon. These accounts are written as dialogues, in which Socrates and his interlocutors examine a subject in the style of question and answer; they gave rise to the Socratic dialogue literary genre. Contradictory accounts of Socrates make a reconstruction of his philosophy nearly impossible, a situation known as the Socratic problem. Socrates was a polarizing figure in Athenian society. In 399 BC, he was accused of impiety and corrupting the youth. After a trial that lasted a day, he was sentenced to death. He spent his last day in prison, refusing offers to help him escape.
The theory of Forms, theory of Ideas, Platonic idealism, or Platonic realism is a philosophical theory of metaphysics developed by the Classical Greek philosopher Plato. The theory suggests that the physical world is not as real or true as "Forms". According to this theory, Forms—conventionally capitalized and also commonly translated as "Ideas"—are the non-physical, timeless, absolute, and unchangeable essences of all things, of which objects and matter in the physical world are merely imitations. Plato speaks of these entities only through the characters of his dialogues who sometimes suggest that these Forms are the only objects of study that can provide knowledge. The theory itself is contested from within Plato's dialogues, and it is a general point of controversy in philosophy. Nonetheless, the theory is considered to be a classical solution to the problem of universals.
