Platonic idealism is the theory that the substantive reality around us is only a reflection of a higher truth. That truth, Plato argues, is the abstraction. A particular tree, with a branch or two missing, possibly alive, possibly dead, and initials of two lovers carved into its bark, is distinct from the form of Tree-ness. A Tree is the ideal that each of us holds that allows us to identify the imperfect reflections of trees all around us. Plato gives the The divided line of Plato as an outline of this theory. At the top of the line, the form of the Good is found, directing everything underneath. Some people construe "Platonism" to mean the proposition that universals exist independently of particulars (a universal is anything that can be predicated of a particular). Platonism is an ancient school of philosophy, founded by Plato; at the beginning, this school had a physical existence at a site just outside the walls of Athens called the Academy, as well as the intellectual unity of a shared approach to philosophizing. Platonism is generally divided into three periods: # Early Platonism # Middle Platonism # Neoplatonism Platonism is considered to be, in mathematics departments the world over, the predominant philosophy of mathematics, especially regarding the foundations of mathematics. One statement of this philosophy is the thesis that mathematics is not created but discovered in some undescribed realm. A lucid statement of this is found in an essay written by the British mathematician G. H. Hardy in defense of pure mathematics. The absence in this thesis of clear distinction between mathematical and nonmathematical "creation" leaves open the inference that it applies to allegedly creative endeavors in art, music, and literature. Nietzsche was highly critical of Plato and his influence on Western philosophical thought. ==See also== *Gnosticism *idealism *Platonic epistemology *Cambridge Platonists *Plato Metaphysics Platonism simple:Platonism zh-cn:柏拉图主义
I've been dealing with Platonism in math for 50 years becaause of the implication that mathematicians are elitist shamans. I started college only after serving 1941-45 in Military Service and after marriage. A woman working with my wife told her I was negelcting my wife and marriage by studying math, physics, history, German, French, etc., because I should remember these and other subjects from my origin in Heaven. She said she could remember all of Calculus if she tried, but she didn't have time for this. She said I was lazy or stubborn to study such subjects instead of trying to remember them, implying that this was heretical. I don't know if he was aware of it, but platonism is one reason for that dire warning of the late Carl Sagan which I quote in http://members.fortunecity.com/jonhays/sagan.htm. Is any one else concerned about this?User:Jonhays0 01:32, 25 Sep 2003 (UTC) --- this copy was contributed then "kidnapped". whatever administrative purpose that might serve, kidnapped knowledge invites liberation, and indeed the kidnapper's page encouraged visitors to redeem this. there is another article on the platonism page, but this text might have something to contribute, for those familiar with the topic and able to sort any relevant contribution not already in the article. the self-reference to wikipedia in the now-draft text below goes against a widely accepted convention, but the reference to platonic relationships, and more importantly, to the basic platonic tension between real and ideal might enhance what is on the main page. the redeemed copy also includes reference to some specific proponents or antagonists of platonism, which if accurate is of general reader interest. the former text: Plato's influence on Western culture was so profound that several different concepts are linked by being called "platonic" or Platonist, for accepting some assumptions of Platonism, but which do not imply acceptance of that philosophy as a whole: *In civics or politics, a Platonist is someone who advocates a system resembling Plato's Republic. These are really quite rare. *Neoclassical economics is sometimes described as Platonist in some sense, probably because of neoliberal assumptions about pure capitalism as an ideal system which energy economics must attempt but never really achieve. *A platonic relationship is one that does not involve sex. By far the most common use of the word is among mathematicians, where a Platonist is one who believes that mathematics is not created by man but discovered in some undescribed realm. This leads to some serious confusion: The absence in this thesis of clear distinction between mathematical and nonmathematical "creation" leaves open the inference that it applies to allegedly creative endeavors in art, music, and literature, including articles in Wikipedia:itself. In other words, Wikipedia articles approach some kind of truth that they cannot, in the end, fully express. In the philosophy of mathematics proper, a Platonist is one who accepts mathematical concepts as real and discovered, period. The "other realm" is rarely discussed. But yet a Platonist must accept an ontology resembling Plato's ontology in order to deal with the tension between real and ideal objects. That is, he (and almost all mathematicians are male) must accept that there is, first and foremost, a "real" and "ideal" realm, and some means to peer between them. There are theories of realism in mathematics which carefully earmark the assumptions they make to deal with this tension, e.g. the cognitive science of mathematics. Most Platonists do not and are thus accepting Plato's ontology by default as a foundation ontology. A lucid statement of this is found in the autobiography of British mathematician G. H. Hardy. Hilary Putnam rejected the label Platonist because of this implication, but was otherwise a "realist" in the sense of believing mathematics to be discovered. He proposed that quasi-empirical methods and quasi-empiricism in mathematics were a more useful way to explore the ontology of proofs, via mathematical practice. Today other realist theories explore ''Where Mathematics Comes From'', some of whose ontology is founded on empirical methods. All of this moves towards a single "discovered" realm - away from Platonism. == Plato Neoplatonism ???? == Neo Platonism is not based on Plato. Its based on Platonius. The founder of Philosophical Gnosticism. (Nous, Gnosis, and all that jazz) And he is not related to plato. Some people try to rationalize that he was influenced by Plato. I think thats mainly because they acidently attributed it to plato and then try to rationalize it after the fact though. User:Jaynus 01:46, 3 Jun 2005 (UTC)
Religious faiths, traditions, and movements Classical Greek philosophy
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Platonism
Platonism
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Platonism
Platonic idealism is the theory that the substantive reality around us is only a reflection of a higher truth. That truth, Plato argues, is the abstraction. A particular tree, with a branch or two missing, possibly alive, possibly dead, and initials of two lovers carved into its bark, is distinct from the form of Tree-ness. A Tree is the ideal that each of us holds that allows us to identify the imperfect reflections of trees all around us. Plato gives the The divided line of Plato as an outline of this theory. At the top of the line, the form of the Good is found, directing everything underneath. Some people construe "Platonism" to mean the proposition that universals exist independently of particulars (a universal is anything that can be predicated of a particular). Platonism is an ancient school of philosophy, founded by Plato; at the beginning, this school had a physical existence at a site just outside the walls of Athens called the Academy, as well as the intellectual unity of a shared approach to philosophizing. Platonism is generally divided into three periods: # Early Platonism # Middle Platonism # Neoplatonism Platonism is considered to be, in mathematics departments the world over, the predominant philosophy of mathematics, especially regarding the foundations of mathematics. One statement of this philosophy is the thesis that mathematics is not created but discovered in some undescribed realm. A lucid statement of this is found in an essay written by the British mathematician G. H. Hardy in defense of pure mathematics. The absence in this thesis of clear distinction between mathematical and nonmathematical "creation" leaves open the inference that it applies to allegedly creative endeavors in art, music, and literature. Nietzsche was highly critical of Plato and his influence on Western philosophical thought. ==See also== *Gnosticism *idealism *Platonic epistemology *Cambridge Platonists *Plato Metaphysics Platonism simple:Platonism zh-cn:柏拉图主义
Platonism
I've been dealing with Platonism in math for 50 years becaause of the implication that mathematicians are elitist shamans. I started college only after serving 1941-45 in Military Service and after marriage. A woman working with my wife told her I was negelcting my wife and marriage by studying math, physics, history, German, French, etc., because I should remember these and other subjects from my origin in Heaven. She said she could remember all of Calculus if she tried, but she didn't have time for this. She said I was lazy or stubborn to study such subjects instead of trying to remember them, implying that this was heretical. I don't know if he was aware of it, but platonism is one reason for that dire warning of the late Carl Sagan which I quote in http://members.fortunecity.com/jonhays/sagan.htm. Is any one else concerned about this?User:Jonhays0 01:32, 25 Sep 2003 (UTC) --- this copy was contributed then "kidnapped". whatever administrative purpose that might serve, kidnapped knowledge invites liberation, and indeed the kidnapper's page encouraged visitors to redeem this. there is another article on the platonism page, but this text might have something to contribute, for those familiar with the topic and able to sort any relevant contribution not already in the article. the self-reference to wikipedia in the now-draft text below goes against a widely accepted convention, but the reference to platonic relationships, and more importantly, to the basic platonic tension between real and ideal might enhance what is on the main page. the redeemed copy also includes reference to some specific proponents or antagonists of platonism, which if accurate is of general reader interest. the former text: Plato's influence on Western culture was so profound that several different concepts are linked by being called "platonic" or Platonist, for accepting some assumptions of Platonism, but which do not imply acceptance of that philosophy as a whole: *In civics or politics, a Platonist is someone who advocates a system resembling Plato's Republic. These are really quite rare. *Neoclassical economics is sometimes described as Platonist in some sense, probably because of neoliberal assumptions about pure capitalism as an ideal system which energy economics must attempt but never really achieve. *A platonic relationship is one that does not involve sex. By far the most common use of the word is among mathematicians, where a Platonist is one who believes that mathematics is not created by man but discovered in some undescribed realm. This leads to some serious confusion: The absence in this thesis of clear distinction between mathematical and nonmathematical "creation" leaves open the inference that it applies to allegedly creative endeavors in art, music, and literature, including articles in Wikipedia:itself. In other words, Wikipedia articles approach some kind of truth that they cannot, in the end, fully express. In the philosophy of mathematics proper, a Platonist is one who accepts mathematical concepts as real and discovered, period. The "other realm" is rarely discussed. But yet a Platonist must accept an ontology resembling Plato's ontology in order to deal with the tension between real and ideal objects. That is, he (and almost all mathematicians are male) must accept that there is, first and foremost, a "real" and "ideal" realm, and some means to peer between them. There are theories of realism in mathematics which carefully earmark the assumptions they make to deal with this tension, e.g. the cognitive science of mathematics. Most Platonists do not and are thus accepting Plato's ontology by default as a foundation ontology. A lucid statement of this is found in the autobiography of British mathematician G. H. Hardy. Hilary Putnam rejected the label Platonist because of this implication, but was otherwise a "realist" in the sense of believing mathematics to be discovered. He proposed that quasi-empirical methods and quasi-empiricism in mathematics were a more useful way to explore the ontology of proofs, via mathematical practice. Today other realist theories explore ''Where Mathematics Comes From'', some of whose ontology is founded on empirical methods. All of this moves towards a single "discovered" realm - away from Platonism. == Plato Neoplatonism ???? == Neo Platonism is not based on Plato. Its based on Platonius. The founder of Philosophical Gnosticism. (Nous, Gnosis, and all that jazz) And he is not related to plato. Some people try to rationalize that he was influenced by Plato. I think thats mainly because they acidently attributed it to plato and then try to rationalize it after the fact though. User:Jaynus 01:46, 3 Jun 2005 (UTC)
Platonism
Religious faiths, traditions, and movements Classical Greek philosophy
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Platonism
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