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Platonic Form
Platonic realism is the philosophical position that universals or abstract objects exist objectively and outside of human minds. It is named after the Greek philosopher Plato who applied realism to such universals, which he considered ideal forms. This stance is ambiguously also called Platonic idealism but should not be confused with idealism as presented by philosophers such as George Berkeley: as Platonic abstractions are not spatial, temporal, or mental, they are not compatible with the later idealism's emphasis on mental existence. Plato's Forms include numbers and geometrical figures, making them a theory of mathematical realism; they also include the Form of the Good, making them in addition a theory of ethical realism. Plato expounded his own articulation of realism regarding the existence of universals in his dialogue '' The Republic'' and elsewhere, notably in the ''Phaedo'', the ''Phaedrus'', the ''Meno'' and the ''Parmenides''. Universals In Platonic realism, u ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Parmenides (Plato)
''Parmenides'' ( el, Παρμενίδης) is one of the dialogues of Plato. It is widely considered to be one of the most challenging and enigmatic of Plato's dialogues. The ''Parmenides'' purports to be an account of a meeting between the two great philosophers of the Eleatic school, Parmenides and Zeno of Elea, and a young Socrates. The occasion of the meeting was the reading by Zeno of his treatise defending Parmenidean monism against those partisans of plurality who asserted that Parmenides' supposition that there is a one gives rise to intolerable absurdities and contradictions. The dialogue is set during a supposed meeting between Parmenides and Zeno of Elea in Socrates' hometown of Athens. This dialogue is chronologically the earliest of all as Socrates is only nineteen years old here. It is also notable that he takes the position of the student here while Parmenides serves as the lecturer. The dialogue is likely fictitious. Discussion with Socrates The heart of the di ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Plato Silanion Musei Capitolini MC1377
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 tradi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Phaedrus (Plato)
The ''Phaedrus'' (; grc-gre, Φαῖδρος, Phaidros}), written by Plato, is a dialogue between Plato's protagonist, Socrates, and Phaedrus, an interlocutor in several dialogues. The ''Phaedrus'' was presumably composed around 370 BCE, 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. One of the dialogue's central passages is the famous Chariot Allegory, which presents the human soul as composed of a charioteer, a good horse tending upward to the divine, and a bad horse tending downward to material embodiment. Setting Socrates runs into Phaedrus on the outskirts of Athens. Phaedrus has just come from the home of Epicrates of Athens, where Lysias, son of Cephalus, has given a speech on love. Socrates, stating that ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proclus
Proclus Lycius (; 8 February 412 – 17 April 485), called Proclus the Successor ( grc-gre, Πρόκλος ὁ Διάδοχος, ''Próklos ho Diádokhos''), was a Greek Neoplatonist philosopher, one of the last major classical philosophers of late antiquity. He set forth one of the most elaborate and fully developed systems of Neoplatonism and, through later interpreters and translators, exerted an influence on Byzantine philosophy, Early Islamic philosophy, and Scholastic philosophy. Biography The primary source for the life of Proclus is the eulogy ''Proclus, or On Happiness'' that was written for him upon his death by his successor, Marinus, Marinus' biography set out to prove that Proclus reached the peak of virtue and attained eudaimonia. There are also a few details about the time in which he lived in the similarly structured ''Life of Isidore'' written by the philosopher Damascius in the following century. According to Marinus, Proclus was born in 412 AD in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Statesman (dialogue)
The ''Statesman'' ( grc-gre, Πολιτικός, ''Politikós''; Latin: ''Politicus''), also known by its Latin title, ''Politicus'', is a Socratic dialogue written by Plato. The text depicts a conversation among Socrates, the mathematician Theodorus, another person named Socrates (referred to as "Socrates the Younger"), and an unnamed philosopher from Elea referred to as "the Stranger" (, ''xénos''). It is ostensibly an attempt to arrive at a definition of "statesman," as opposed to "sophist" or " philosopher" and is presented as following the action of the ''Sophist''. The ''Sophist'' had begun with the question of whether the sophist, statesman, and philosopher were one or three, leading the Eleatic Stranger to argue that they were three but that this could only be ascertained through full accounts of each (''Sophist'' 217b). But though Plato has his characters give accounts of the sophist and statesman in their respective dialogues, it is most likely that he never wrote ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sophist (dialogue)
The ''Sophist'' ( el, Σοφιστής; la, Sophista Henri Estienne (ed.), ''Platonis opera quae extant omnia'', Vol. 1, 1578p. 217) 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". Background The main objective of the dialogue is to identify what a sophist is and how a sophist differs from a philosopher and statesman. Because each seems dis ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Patterns In Nature
Patterns in nature are visible regularities of form found in the natural world. These patterns recur in different contexts and can sometimes be modelled mathematically. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. Early Greek philosophers studied pattern, with Plato, Pythagoras and Empedocles attempting to explain order in nature. The modern understanding of visible patterns developed gradually over time. In the 19th century, the Belgian physicist Joseph Plateau examined soap films, leading him to formulate the concept of a minimal surface. The German biologist and artist Ernst Haeckel painted hundreds of marine organisms to emphasise their symmetry. Scottish biologist D'Arcy Thompson pioneered the study of growth patterns in both plants and animals, showing that simple equations could explain spiral growth. In the 20th century, the British mathematician Alan Turing predicted mechanisms of morpho ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paradigm
In science and philosophy, a paradigm () is a distinct set of concepts or thought patterns, including theories, research methods, postulates, and standards for what constitute legitimate contributions to a field. Etymology ''Paradigm'' comes from Greek παράδειγμα (''paradeigma''), "pattern, example, sample" from the verb παραδείκνυμι (''paradeiknumi''), "exhibit, represent, expose" and that from παρά (''para''), "beside, beyond" and δείκνυμι (''deiknumi''), "to show, to point out". In classical (Greek-based) rhetoric, a paradeigma aims to provide an audience with an illustration of a similar occurrence. This illustration is not meant to take the audience to a conclusion, however it is used to help guide them get there. One way of how a ''paradeigma'' is meant to guide an audience would be exemplified by the role of a personal accountant. It is not the job of a personal accountant to tell a client exactly what (and what not) to spend money ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Foundations Of Mathematics
Foundations of mathematics is the study of the philosophical and logical and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics. In this latter sense, the distinction between foundations of mathematics and philosophy of mathematics turns out to be quite vague. Foundations of mathematics can be conceived as the study of the basic mathematical concepts (set, function, geometrical figure, number, etc.) and how they form hierarchies of more complex structures and concepts, especially the fundamentally important structures that form the language of mathematics (formulas, theories and their models giving a meaning to formulas, definitions, proofs, algorithms, etc.) also called metamathematical concepts, with an eye to the philosophical aspects and the unity of mathematics. The search for foundations of mathematics is a central question of the philosophy of mathe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Philosophy Of Mathematics
The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics. It aims to understand the nature and methods of mathematics, and find out the place of mathematics in people's lives. The logical and structural nature of mathematics itself makes this study both broad and unique among its philosophical counterparts. The philosophy of mathematics has two major themes: mathematical realism and mathematical anti-realism. History The origin of mathematics is subject to arguments and disagreements. Whether the birth of mathematics was a random happening or induced by necessity during the development of other subjects, like physics, is still a matter of prolific debates. Many thinkers have contributed their ideas concerning the nature of mathematics. Today, some philosophers of mathematics aim to give accounts of this form of inquiry and its products as they stand, while others emphasize a role for themselves th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Universals
In metaphysics, a universal is what particular things have in common, namely characteristics or qualities. In other words, universals are repeatable or recurrent entities that can be instantiated or exemplified by many particular things. For example, suppose there are two chairs in a room, each of which is green. These two chairs both share the quality of " chairness", as well as greenness or the quality of being green; in other words, they share a "universal". There are three major kinds of qualities or characteristics: types or kinds (e.g. mammal), properties (e.g. short, strong), and relations (e.g. father of, next to). These are all different types of universals. Paradigmatically, universals are ''abstract'' (e.g. humanity), whereas particulars are ''concrete'' (e.g. the personhood of Socrates). However, universals are not necessarily abstract and particulars are not necessarily concrete. For example, one might hold that numbers are particular yet abstract objects. Likew ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Problem Of Universals
The problem of universals is an ancient question from metaphysics that has inspired a range of philosophical topics and disputes: Should the properties an object has in common with other objects, such as color and shape, be considered to exist beyond those objects? And if a property exists separately from objects, what is the nature of that existence? The problem of universals relates to various inquiries closely related to metaphysics, logic, and epistemology, as far back as Plato and Aristotle, in efforts to define the mental connections a human makes when they understand a property such as shape or color to be the same in nonidentical objects. Universals are qualities or relations found in two or more entities. As an example, if all cup holders are ''circular'' in some way, ''circularity'' may be considered a universal property of cup holders. Further, if two daughters can be considered ''female offspring of Frank'', the qualities of being ''female'', ''offspring'', and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
