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Eubulides
Eubulides of Miletus ( grc, Εὐβουλίδης; fl. 4th century BCE) was a Greek philosopher of the Megarian school, a pupil of Euclid of Megara and a contemporary of Aristotle. He is famous for his logical paradoxes. Life Eubulides was a pupil of Euclid of Megara,Diogenes Laërtius, ii. 108 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. He may have been the author of a book about Diogenes of Sinope. 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 ac ... [...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. If "this sentence is false" is true, then it is false, but the sentence states that it is false, and if it is false, then it must be true, and so on. History The Epimenides paradox (circa 600 BC) has been suggested as an example of the liar paradox, but they are not logically equivalent. The semi-mythical seer Epimenides, a Cretan, reportedly stated t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Demosthenes
Demosthenes (; el, Δημοσθένης, translit=Dēmosthénēs; ; 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 stro ... [...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 to become a non-heap, the paradox is to consider what happens when the process is repeated enough times that only one grain remains: is it still a heap? If not, when did it change from a heap to a non-heap? The original formulation and variations Paradox of the heap The word ''sorites'' ('' grc-gre, σωρείτης'') derives from the Greek word for 'heap' ('' grc-gre, σωρός''). 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, using premises, as follows: :'' grains of sand is a heap of sand'' (Premise 1) :''A heap of ... [...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 geographic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Euclid Of Megara
Euclid of Megara (; grc-gre, Εὐκλείδης ; 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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Euphantus
Euphantus ( el, Εὔφαντος; floruit, fl. c. 320 BCE) of Olynthus was a philosopher of the Megarian school as well as an historian and tragic poet. He was the disciple of Eubulides, 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'' ( el, Περὶ Βασιλείας), 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, [Jstor] Notes References * * * 4th-century BC Greek people 4 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Apollonius Cronus
Apollonius Cronus ( el, Ἀπολλώνιος Κρόνος; 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 Diodorus Cronus ( el, Διόδωρος Κρόνος; 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 A ..., as Strabo 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 philosophers Cyrenean Greeks Megarian philosophers Year of birth unknown Year of death unknown ... [...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 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: * ''Premise 1'': I know who Claus is. * ''Premise 2'': I do not know who the masked man is. * ''Conclusion'': Therefore, Claus is not the masked man. The premises may be true and the conclusion false if Claus is the masked m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diodorus Cronus
Diodorus Cronus ( el, Διόδωρος Κρόνος; 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 tha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
4th-century BC Philosophers
The 4th century (per the Julian calendar and Anno Domini/Common era) was the time period which lasted from 301 ( CCCI) through 400 ( CD). In the West, the early part of the century was shaped by Constantine the Great, who became the first Roman emperor to adopt Christianity. Gaining sole reign of the empire, he is also noted for re-establishing a single imperial capital, choosing the site of ancient Byzantium in 330 (over the current capitals, which had effectively been changed by Diocletian's reforms to Milan in the West, and Nicomedeia in the East) to build the city soon called Nova Roma (New Rome); it was later renamed Constantinople in his honor. The last emperor to control both the eastern and western halves of the empire was Theodosius I. As the century progressed after his death, it became increasingly apparent that the empire had changed in many ways since the time of Augustus. The two emperor system originally established by Diocletian in the previous century fell in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Plato
Plato ( ; grc-gre, Πλάτων ; 428/427 or 424/423 – 348/347 BC) was a Greek philosopher born in Athens during the Classical period in Ancient Greece. He founded the Platonist school of thought and the Academy, the first institution of higher learning on the European continent. Along with his teacher, Socrates, and his student, Aristotle, Plato is a central figure in the history of Ancient Greek philosophy and the Western and Middle Eastern philosophies descended from it. He has also shaped religion and spirituality. The so-called neoplatonism of his interpreter Plotinus greatly influenced both Christianity (through Church Fathers such as Augustine) and Islamic philosophy (through e.g. Al-Farabi). In modern times, Friedrich Nietzsche diagnosed Western culture as growing in the shadow of Plato (famously calling Christianity "Platonism for the masses"), while Alfred North Whitehead famously said: "the safest general characterization of the European philosophical tra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ancient Greek Philosophers Of Language
Ancient history is a time period from the beginning of writing and recorded human history to as far as late antiquity. The span of recorded history is roughly 5,000 years, beginning with the Sumerian cuneiform script. Ancient history covers all continents inhabited by humans in the period 3000 BCAD 500. The three-age system periodizes ancient history into the Stone Age, the Bronze Age, and the Iron Age, with recorded history generally considered to begin with the Bronze Age. The start and end of the three ages varies between world regions. In many regions the Bronze Age is generally considered to begin a few centuries prior to 3000 BC, while the end of the Iron Age varies from the early first millennium BC in some regions to the late first millennium AD in others. During the time period of ancient history, the world population was already exponentially increasing due to the Neolithic Revolution, which was in full progress. While in 10,000 BC, the world population stood ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
