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Eubulides
Eubulides (; fl. 4th century BCE) of Miletus was a philosopher of the Megarian school who is famous for his paradoxes. Life According to Diogenes Laërtius, Eubulides was a pupil of Euclid of Megara, the founder of the Megarian school. He was a contemporary of Aristotle, against whom he wrote with great bitterness. He taught logic to Demosthenes, and he is also said to have taught Apollonius Cronus, the teacher of Diodorus Cronus, and the historian Euphantus. Paradoxes of Eubulides Eubulides is most famous for inventing the forms of seven famous paradoxes, some of which, however, are also ascribed to Diodorus Cronus: # The Liar (''pseudomenos'') paradox:A man says: "What I am saying now is a lie." If the statement is true, then he is lying, even though the statement is true. If the statement is a lie, then he is not actually lying, even though the statement is a lie. Thus, if the speaker is lying, he tells the truth, and vice versa. # The Masked Man (''enkekalymmenos'') parad ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Liar Paradox
In philosophy and logic, the classical liar paradox or liar's paradox or antinomy of the liar is the statement of a liar that they are lying: for instance, declaring that "I am lying". If the liar is indeed lying, then the liar is telling the truth, which means the liar just lied. In "this sentence is a lie", the paradox is strengthened in order to make it amenable to more rigorous logical analysis. It is still generally called the "liar paradox" although abstraction is made precisely from the liar making the statement. Trying to assign to this statement, the strengthened liar, a classical binary truth value leads to a contradiction. Assume that "this sentence is false" is true, then we can trust its content, which states the opposite and thus causes a contradition. Similarly, we get a contradiction when we assume the opposite. History The Epimenides paradox (c. 600 BC) has been suggested as an example of the liar paradox, but they are not logically equivalent. The semi-mythica ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Epimenides Paradox
The Epimenides paradox reveals a problem with self-reference in logic. It is named after the Cretan philosopher Epimenides of Knossos (alive circa 600 BC) who is credited with the original statement. A typical description of the problem is given in the book ''Gödel, Escher, Bach'', by Douglas Hofstadter: A paradox of self-reference arises when one considers whether it is possible for Epimenides to have spoken the truth. Mythology of lying Cretans According to Ptolemaeus Chennus, Thetis and Medea had once argued in Thessaly over which was the most beautiful; they appointed the Cretan Idomeneus as the judge, who gave the victory to Thetis. In her anger, Medea called all Crete, Cretans liars, and cursed them to never say the truth. Logical paradox Thomas Fowler (university administrator), Thomas Fowler (1869) states the paradox as follows: "Epimenides the Cretan says, 'that all the Cretans are liars,' but Epimenides is himself a Cretan; therefore he is himself a liar. But if ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Euclid Of Megara
Euclid of Megara (; ; c. 435 – c. 365 BC) 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''. Life Euclid was born in Megara. In Athens he became a follower of Socrates: so eager was he to hear the teaching and discourse of Socrates, that when, for a time, Athens had a ban on any citizen of Megara entering the city, Euclid would sneak into Athens after nightfall disguised as a woman, to hear him speak. He is represented in the preface of Plato's '' Theaetetus'' as being responsible for writing down the conversation between Socrates and the young Theaetetus many years earlier. Socrates is also supposed to have re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sorites Paradox
The sorites paradox (), sometimes known as the paradox of the heap, is a paradox that results from vague predicates. A typical formulation involves a heap of sand, from which grains are removed individually. With the assumption that removing a single grain does not cause a heap not to be considered a heap anymore, the paradox is to consider what happens when the process is repeated enough times that only one grain remains and if it is still a heap. If not, then the question asks when it changed from a heap to a non-heap. Original formulation The word ''sorites'' () derives from the Greek word for ''heap'' (). The paradox is so named because of its original characterization, attributed to Eubulides of Miletus. The paradox is as follows: consider a heap of sand from which grains are removed individually. One might construct the argument from the following premises: :'' grains of sand is a heap of sand'' (Premise 1) :''A heap of sand minus one grain is still a heap.'' (Premise 2) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Megarian School
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. History The Megarian school of philosophy was founded by Euclides of Megara, who had been one of the pupils of Socrates in the late 5th century BC. His successors, as head of the school in Megara, were said to have been Ichthyas (mid 4th century BC), and Stilpo (late 4th century BC).Diogenes Laërtius, ii. 113 It is unlikely, however, that the Megarian school was a genuine institution, but more of a casual description of its geogra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Demosthenes
Demosthenes (; ; ; 384 – 12 October 322 BC) was a Greek statesman and orator in ancient Athens. His orations constitute a significant expression of contemporary Athenian intellectual prowess and provide insight into the politics and culture of ancient Greece during the 4th century BC. Demosthenes learned rhetoric by studying the speeches of previous great orators. He delivered his first judicial speeches at the age of 20, in which he successfully argued that he should gain from his guardians what was left of his inheritance. For a time, Demosthenes made his living as a professional speechwriter ( logographer) and a lawyer, writing speeches for use in private legal suits. Demosthenes grew interested in politics during his time as a logographer, and in 354 BC he gave his first public political speeches. He went on to devote his most productive years to opposing Macedon's expansion. He idealized his city and strove throughout his life to restore Athens' suprema ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Apollonius Cronus
Apollonius Cronus (; fl. 4th century BCE) from Cyrene was a philosopher of the Megarian school. Very little is known about him. He was the pupil of Eubulides, and was the teacher of Diodorus Cronus, as Strabo Strabo''Strabo'' (meaning "squinty", as in strabismus) was a term employed by the Romans for anyone whose eyes were distorted or deformed. The father of Pompey was called "Gnaeus Pompeius Strabo, Pompeius Strabo". A native of Sicily so clear-si ... relates: Apollonius Cronus, was from Cyrene, ... being the teacher of Diodorus the Dialectician, who also was given the appellation "Cronus," certain persons having transferred the epithet of the teacher to the pupil.Strabo, xvii. 3. 22 The epithet "Cronus" roughly translates as " old fogey". Notes {{DEFAULTSORT:Apollonius Cronus 4th-century BC Greek philosophers Cyrenean Greeks Megarian philosophers Year of birth unknown Year of death unknown ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Euphantus
Euphantus (; fl. c. 320 BCE) of Olynthus was a philosopher of the Megarian school as well as a historian and tragic poet. He was the disciple of Eubulides of Miletus, and the instructor of Antigonus II Gonatas king of Macedonia. He wrote many tragedies, which were well received at the games. He also wrote a very highly esteemed work, ''On Kingship'' (), addressed to Antigonus, and a history of his own times. He lived to a great age. Athenaeus refers to Euphantus relating a detail about Ptolemy III Euergetes of Egypt, who reigned much later. The discrepancy has been explained variously, by supposing the existence of an Egyptian Euphantus, or by amending "III" to "I".Reading "proton" instead of "triton" i.e. first instead of third, see Tarn, W. (1933), ''Two Notes on Ptolemaic History'', The Journal of Hellenic Studies, vol. 53, p.57-68, stor STOR may refer to: * ''Short Term Operating Reserve'', see National Grid Reserve Service * STØR, American furniture chain * STOR2RRD, an ope ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diodorus Cronus
Diodorus Cronus (; died c. 284 BC) was a Greek philosopher and dialectician connected to the Megarian school. He was most notable for logic innovations, including his master argument formulated in response to Aristotle's discussion of future contingents. Life Diodorus was the son of Ameinias of Iasus in Caria. He lived in the court of Alexandria in the reign of Ptolemy I Soter, who is said to have given him the surname of Cronus ("old fogey") on account of his inability to solve at once some dialectic problem proposed by Stilpo, when the two philosophers were dining with the king. Diodorus is said to have taken that disgrace so much to heart that after his return from the meal, and writing a treatise on the problem, he died in despair. However, according to Strabo, Diodorus himself adopted the surname of Cronus from his teacher, Apollonius Cronus. Diodorus is thought to have died around 284 BC; his date of birth is unknown. It was once thought that he was old enough to ha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diogenes Laërtius
Diogenes Laërtius ( ; , ; ) was a biographer of the Greek philosophers. Little is definitively known about his life, but his surviving book ''Lives and Opinions of Eminent Philosophers'' is a principal source for the history of ancient Greek philosophy. His reputation is controversial among scholars because he often repeats information from his sources without critically evaluating it. In many cases, he focuses on insignificant details of his subjects' lives while ignoring important details of their philosophical teachings and he sometimes fails to distinguish between earlier and later teachings of specific philosophical schools. However, unlike many other ancient secondary sources, Diogenes Laërtius tends to report philosophical teachings without trying to reinterpret or expand on them, and so his accounts are often closer to the primary sources. Due to the loss of so many of the primary sources on which Diogenes relied, his work has become the foremost surviving source on the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexinus
Alexinus (; ; –265 BC) of Elis, was a philosopher of Megarian school and a disciple of Eubulides. From his argumentative nature he was facetiously named ''the wrangler'' (), From Elis he went to Olympia, hoping to found a sect which was to be called the Olympian, but his disciples soon became disgusted with the unhealthiness of the place and their scanty means of subsistence, and left him with a single attendant. None of his doctrines have been preserved, but from the brief mention made of him by Cicero, he seems to have dealt in logical puzzles. Athenaeus mentions a paean which he wrote in honour of Craterus, the Macedonian, and which was sung at Delphi to the sound of the lyre. Alexinus also wrote against Zeno, and against Ephorus the historian. Diogenes Laërtius has preserved some lines on his death which was caused by his being pierced with a reed while swimming in the Alpheus. In 267–6, Alexinus debated rhetorical questions with Hermarchus the Epicurean. Philod ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Masked-man Fallacy
In philosophical logic, the masked-man fallacy (also known as the intensional fallacy or epistemic fallacy) is the false assumption that a knowledge or a belief about an object (an intension) can be used to correctly tell it apart from another object (as opposed to facts, that can be used to correctly tell two objects apart). It is committed when one makes an illicit use of Leibniz's law in an argument. Leibniz's law states that if A and B are the same object, then A and B are indiscernible (that is, they have all the same properties). By ''modus tollens'', this means that if one object has a certain property, while another object does not have the same property, the two objects cannot be identical. The fallacy is "epistemic" because it posits an immediate identity between a subject's knowledge of an object with the object itself, failing to recognize that Leibniz's Law is not capable of accounting for intensional contexts. Examples The name of the fallacy comes from the example: * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
