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The Theory of Forms or also known as The Theory of Ideas, is a challenging concept but represents the purest form of knowledge according to Socrates and Plato.  The Forms represent Plato’s argument that non-physical forms/ideas are the most accurate reality we have. One can notice this difference because throughout Plato’s work, The Theory of Forms are often capitalized. Plato, who speaks of The Forms through different characters in each story, but mostly Socrates, believes that the Forms are the only objects of study that can provide knowledge and are the solutions to the universal problems that occur.  Plato was heavily influenced on sceptism, which came from his teacher, Socrates. According to Plato, the world is contantly changing and believes it is therefore unreliable. In order to solve this problem, Plato introduces The Theory of Form as a more reliable and permanent world. From a mathametican standpoint, we can look at The Theory of Forms as  a perfect triangle. This would be described as the Form or Idea of the Triangle. Plato explains in his dialounges that the Forms exists in an abstract state but are considered independent state. In Plato’s work, The Theory of Forms is already perfect and if one was to try to change or recreate the forms, they would simply fall short or fail. For example, if we trying to redraw the triangle, we would then compare the perfect form to the imperfect form. A perfect triangle is hard for most of us to imagine because we are thought to think nothing in life is perfect. He simply believes that if we believe and concieve a perfect triangle in our minds, then it must exist. Plato was in search for the truth and purest knowledge to come with it which he voiced through Socrates with each character he had a discussion with.  With each thing in the world, there is a Form that corresponds with it and it is a perfect example of it.  For example, the words tree, house, woman would be perfect and abstract examples of the perfect ideas. The main idea that Plato presents is the search for truth and one cannot have reliable knowledge if they cannot comprehend the true reality behind the things in the world and their Forms. In order to understand and percieve the Theory of Forms, one must learn a difficult education that includes the truth of the philospher-kings who are required to percieve the Form of the Goodness to be well-educated and informed rulers. We must also be able to recall these Form because they are embedded in our soul because we have innate knowledge.  One discussion that corresponds with the Theory of Form is the Phaedo. In this discussion, Socrates presents the argument of the afterlife and what happens to the soul. The main idea in the Phaedo is the soul is immortal and is broken down into four arguments to describe its immortality. One is the Cyclical Argument, which explains that the Forms are eternal and unchanging, the soul can always bring life and it must not die. It is considered “imperishable”.  The Theory of Recollection explains that we posses some innate knowledge at birth and that is able to carry out that knowledge throughout our soul because the soul existed before birth. The Affinity Argument explains that invisable and immortal things are different from visable and mortal things. So when our bodies begin to decay, our soul will live on forever.The Final Argument states that all things in the world particpate in The Theory of Forms. For example, the beautiful things in the world represent the Form of Beauty. Everything in the world comes from an independent Form/Idea.  In Plato’s Allegory of the Cave, the Theory of Form is present when speaking about the sensiable and the intelligiable. In Plato’s distinction through Socrates he describes a group of people who all their lives have been chained to a wall of the cave. They have no notion of the outside world, they can only watch the shadows projected on the wall from object passing by the fire. The shadows represent the prisoner’s reality since that is all they know and have come accustom to. Socrates explains that a philospher is a freed prisoner from the cave and with the knowledge comes to understand that the shadows on the wall are not reality at all, just what we think it is because we don’t know anything else. Once one is freed from this notion, the philispher is able to percieve the true form of reality rather then believing what they only see from the shadows on the walls. Plato divided the universe into two forms, the sensiable and the intelligable. The sensiable describes how we see the world through our sense, sight, smell, taste, touch etc. The intelligeable is how we see the world through our intellect. The things that come from our intellect is the Theory of Forms. According to Plato, these things in the sensiable world, which come from our sense are eternal and are imperfect reflections of the Forms. Plato uses these two Forms to describe two metaphors. The Allegory of the Sun in Plato’s writing states that since the Sun is visable to our eyes, it is the light that describes the truth and being which is in contrast of the becoming. The nature of the reality is what represents the soul and what can be considered the Good.  Since the light and sight are made to represent the Sun, but are not the Sun, but because of the Sun light and truth can exist. This can also be describe with science and truth can be represented as the Good, but yet are not the Good. So if light and sight can be considered part of the Good then so must science and truth. According to Plato, the Good is beyond the state of being and is the creation of all existence. Another metaphor is the line. If the line is cut into two unequal parts and then divided again, it would be divided into two main divisions: the seniable and intelligeable world. We can think of this has a chart. The chart is cut into four sections representing the Visable on the bottom and the Intelligibable directly above it and the Opinion on the other side and Knowledge right above it. The Visiable has two parts: Images and Beliefs which also corresponds with the Opinion: Imagination Perception. The Images represent the shadows on the cave walls and how this can be interperted by imagination. We begin to image what life would be life beyond the cave. The Beliefs represent how we interpert events based off our perception. For example, one might imagine something and believe because they don’t know anything else then what they are imagining. This section is interperted as the becoming, we strive to achieve the Good. In the intelligeable division this consists of the Forms and can be accessed by thought. The mathematical forms are based off reason. For example, Plato uses the picture of the triangle to help reason the trianguality and prove his the theories. Plato refers to this point as the becoming, we want to reach the Higher Forms, but are not quite there yet. Finally, the top section of the Intelligetable consists of Forms but is based off understanding. It does not include the sensiable form, but is based off science as the Form of the Good. Plato would states that is form of the become. We have reached the highest form of the truth and knowledge through the Forms. The purpose of education is for the philospher to reach the Form of the Good. The cave also represents a sense of giving back to your State. When the prisnor leaves the cave, if he decides to go back to the cave, he must partake in human affairs and labor. The State aims for happiness among all its citizens and since the prisnor was able to see the light because of the State, then he has a duty to complete a service to the State. Plato explains that we must all give back to our society because they are the reason we are here in the first place.  In the discussion, Theaetetus, the Theory of Forms is absent when discussing the The Theory of Knowledge. Theaetetus comes up with the theory that knowledge is perception and uses Protagorean’s thesis to explain that perception is infalliable and there therefore presents cognition. In the thesis, In his theory, Protagorean states that how things are present to an individual is how they are for that indiviudal. 

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