Tuesday, September 30, 2014

Women and Schools: Relating to Creativity



I'm sure many of you have seen this TED talk. As far as I know, it still is the most watched TED talk of all time. If you haven't seen it, it is definitely worth the watch. However, I'm linking the video to highlight an idea, rather than advocate for the message contained in the video itself.

In preparing for my synthesis journal this week, the texts reminded me that the plight of creative expression by women existed in a social context that utterly stifled women's opportunities for creative release. It wasn't just a system where the role of the woman was defined differently, but rather an entire system was in place that limited the ability of women to even compose creative works in private.

This particular talk suggests that such a framework is becoming increasingly evident in our modern school system. Not on the same level, as I make note of in my reading synthesis, but perhaps on a more subtly subversive level. I've cautioned myself from making direct connections between the two, but this week's readings invoked a uniquely personal feeling of the stifling of creative expression.

While I obviously struggle directly relating some of the texts highlighting the plight of the black woman in history, viewing the readings through a context in which I can relate too helped me understand the readings in a new light. Did anyone else make similar connections, or find themselves relating well or poorly to the texts?



Wednesday, September 17, 2014

Lucid Dreaming in a nutshell





From Scott Pilgrim.
Edit: Posted the correct picture.

Dreaming and Inception

When I was reading about lucid dreaming, especially along with Einstein's Dreams, I could not stop thinking about the movie 'Inception' and how it related to this idea of the untapped potential of the dream world.

The idea of stealing ideas, as presented in the movie seems quite unlikely, given how the brain develops ideas. However, given further reading, it appears that researchers are actually a great deal closer to creating images of the "dreamscape" than I, at least, had imagined.
There is a very interesting article on the science behind the movie (http://www.forbes.com/2010/07/29/inception-science-dreams-technology-brain.html) that is worth checking out if you have time or continued interest.

Along with our other reading, I also found an awesome article about the Yoga Vasishtha view of 'Inception' (http://www.that-first.com/show/article/yoga-vasishtha-and-the-philosophy-of-the-film-inception/). It addresses interesting links between the ideas of a yoga mantra and unique items the characters in the movie use to discern whether or not they are dreaming. While a yogi uses a mantra to bring the waking and dreaming states together to understand them as two parts of a whole, the characters in the film use special items to separate the dream state from reality.

Given Alec's discussion of the potential dangers of virtual reality, the excerpt from Lucid Dreaming, the excerpt from Tibetan Dreaming  and 'Inception' (if you have seen it), do you think it is more advantageous to view the dream world and reality as two parts to a whole, or two entirely different entities? How do you think our view of the "dreamworld" has changed and may continue to change?

Virtual Reality

Lucid dreaming is, in a sense, the personal creation of a virtual reality, in that, although the circumstances of lucid dreams do not necessarily correspond to our waking experience, we have the ability to explore the dream world with full command of our cognitive abilities. Creating a virtual reality can be difficult through the technique of lucid dreaming, and is likely unaccessible to most people, but there is the distinct possibility that this will not be true for much longer. Virtual reality hardware like the occulus rift and fully immersive gaming software is being developed at breakneck speed. I think that soon, people will have the ability to slip on a headset, pair of goggles and enter a fully immersive virtual reality on a whim. The limits on the types of reality a user or producer could create would be almost non existent, especially if the brain's hardwired capability to construct incredibly realistic dreamscapes could somehow be integrated into the experience. The readings this week pointed out the many benefits of this type of exploration, with regards to mental and physical health and wellbeing. A virtual reality accessible on demand could provide people with important therapeutic experiences as well as almost unlimited entertainment value. While there are a huge number of positive implications for this technology both entertainment and utility wise, I believe there is a darker side as well.

In highly advanced virtual reality technology lies the huge potential for addiction. Imagine being able to escape the real world, which is frankly sort of disenchanting most of the time, and enter a world that affords you any opportunity you could think of at the very highest level of simulation. Given the widespread popularity of games like World of Warcraft, and Second Life, I think that a fully immersive virtual reality experience could replace the actual lives of many people, not just gamers and ultimately blur the lines between virtual and physical reality on a global scale.

Of course all of these ideas have been taken to their extremes. I think there is a high probability people would realize the dangerous and beneficial effects of VR tech, find ways to make it compatible with the real world, and negate its potentially addictive effects. But these ideas are certainly still worth addressing as we get closer to this making this kind of technology accessible to consumers.

I would like to hear your thoughts on the future of virtual reality both as a source of entertainment and utility, as well as any ideas you have that could ensure that this technology heads in a direction that is beneficial to society. I've put some links at the bottom to provide some context to the current state of this technology and its future. Unfortunately most of most of these articles only explore this kind of tech from the gaming side of things, but the content is still valuable.

Links
http://www.oculusvr.com/
http://www.gamespot.com/articles/1080p-oculus-rift-alternative-vr-headset-totem-has/1100-6422319/
http://www.pcr-online.biz/news/read/amd-on-the-future-of-pc-gaming-mantle-and-virtual-reality/034732


Waking Life

While reading about Lucid Dreaming, I remembered a movie called Waking Life. I am sure that some of you have already seen it, but if not I highly recommend it. 

It’s weird, intriguing, ridiculous, full of interesting dialogues, and truly unique in design and concept. Its sometimes hard to follow, sometimes inspiring. It is a bit of a brain overload if you watch it all at once, and I think one can get more out of the movie watching it in segments and then watching the movie as a whole. The style, rotoscope, helps create a dream like atmosphere because things are in constant motion and change in un-realistic ways. This style greatly adds to Waking Life, both in terms of the story and the visual impact. 

The movie (well its closer to a documentary) follows a man as he listens and talks to a variety of people about a variety of topics that are social, philosophical, dream, life, etc oriented.  However, the character realises that he is dreaming these conversations thus entering a lucid dream state, and has many false awakenings. The character is able to realise that he is dreaming by looking at a digital clock because the numbers never settle. There is a sense of franticness as the dream continues, and the main character feel trapped in a never ending dream. 

Again, if you find yourself with free time and you haven't seen Waking Life, I think it would feed well into this class and offer up food for thought on some of the larger topic we have and will discuss. 


Here are some links:
Reviews-


Full movie-

or on Amazon Prime, free instant streaming


Monday, September 15, 2014

Where do you end and I begin?


As requested by Toni I am posting a poem I wrote two week along with my synthesis about Unity, Harmony and Complexity. Feedback would be helpful!


Ripples

The sea jostles me back and forth.
My body is no longer my own,
It belongs to the cause.
The signs they raise in protest,
Float on top the energy.

The man to my right looks like my father,
I do not know the others,
They begin to blend.
Shame for merging, pride for one body.
One message, one goal, one group of people,

Where do you end and I begin?


Wednesday, September 10, 2014

Blast from the Past

Sitting on my couch in hot, humid, muggy, and humid (yes it deserves it twice) Houston, I turned to TED Talks and Presidential Addresses to pass an evening between workdays.  I admitted to Toni and Lincoln repeatedly during our "accidental" run-ins at TMI on Wednesday nights around 9:00 that I never really wrapped my head around the Global Paradigms unit of our Revolutions class.  This TED Talk has helped and I only wish I had seen it before I wrote my unit paper.  Hopefully it helps one of you guys piece together Einstein's Dream and Chaos Theory.  Happy McBriding

jim_holt_why_does_the_universe_exist

Logic: Classical, Quantum, Modal



In class last week, one of the professors brought up the notion of different types of logic. I saw the words binary, quantum, and modal written on the board so I tried to find out a bit more about them. Here is a quick summary of what I found.
Classical logic forms its basis on the principle of bivalence. Basically, every declarative can either be true or false. This type of logic is also referred to as Boolean logic in the STEM world (0 for false, 1 for true.) In this type of logic, only the maximum (1) and minimum (0) values are allowed. Nothing in-between exists in this logic world. Classical logic also introduced many properties of logic that are used today, such as the law of the excluded middle, commutativity of conjunction, and the De Morgan duality. A brief example of classical logic statements are as follows; All Ps are Q, Some Ps are Q, No Ps are Q, and Some Ps are not Q

Quantum logic was developed in 1936 by Garrett Birkhoff and John von Neumann, who had several problems with using classical logic in the quantum era. Basically, the introduction of complementary variables in quantum mechanics, which are variables that cannot be measured accurately at the same time (think electron position and momentum), made classical logic inconsistent. In quantum logic, values can range in between the maximum and minimum values. For example, one variable may range from 0 to 1, while another ranges from 1 to 3 and yet another 0 to 1/6.

Modal logic was formally developed in the 1960’s. The basic goal of modal logic was to extend classical (binary logic) to include modality operators. These qualifiers come in several different forms, including alethic, temporal, denotic, epistemic, or doxastic. With modal logic, we turn statements like “the electron is here” to “the electron is usually here”. In Alethic logic (aka classical modal logic), a proposition can be possible, necessary, or contingent, instead of just the true and false values denoted by binary logic. On the other hand, temporal logic uses statements qualified by time like “I am always hungry”, “I will eventually be hungry” or “I will be hungry until I eat something.”
To me, the paradigm shift between classical and quantum logic was straightforward. Scientists realized that there was not a yes or no answer to every question they were asked, especially when some sort of distributive logic was used. For example, if asked about an electrons momentum and velocity, only probabilities exist. You simply cannot know both parts of this complementary pair. On the other hand, it seemed like modal logic was just an extension of quantum logic that was easier to apply to non-science matters. Spin numbers on an electron ranging between 0 and some small fraction may make sense to scientists, but qualifiers such as “sometimes” and “probably” relate to a broader audience.

I also thought these links from Stanford were interesting and at times easier to read than Wikipedia/other sources:

Grounded Cognition

Last week in class the topic of grounded cognition was brought up. Before then, I had never heard of the subject and it peaked my curiosity. So, I did some research and wanted to let you all know what I have found.

Cognition, it it's plainest definition given by Google, is "the mental action or process of acquiring knowledge and understanding through thought, experience, and the senses". Over the years, scientists and psychologists alike have delved into the question of how exactly the brain processes, and comes to grasp, this knowledge and understanding. Still wanting to find a less broad definition of cognition in itself, I found one more clearly given by the US National Library of Medicine in a comparison of cognition and the concept of grounded cognition. Referencing Lawrence W. Barsalou's work on grounded cognition, the USNLM website states that cognition in itself is computation in a modular system of the brain, "independent of the brain's modal systems for perception, action, and introspection". The argument for grounded cognition rejects that cognition is independent of these systems. 

Barsalou argues “the environment, situations, body, and simulations in the brain’s modal systems ground the central representations in cognition”. With this, he implies that in grounding, a person’s cognition can be influenced by how the perceive their environment. In addition to each person having a very different, very modal system of the brain, how much then, does perception play a role in knowledge and understanding? Through out my years of schooling I have long understood that each person has a different learning style –there for the most part being listening, writing, speaking, and doing. Different people have different methods of retaining information depending on where their strengths lie. Are these different methods then, catered to varying strength in modal systems of the brain, or various modes of perception?

In my research on the subject, I also stumbled upon a blog arguing that there is a third type of cognition, which has too long (in the author’s opinion) been incorporated into the concept of grounded cognition – that of “embodied cognition”.  In his post to Psychsciencenotes, Andrew Wilson argues the following in rebuttal to Barsalou’s argument for grounded cognition:

·      Grounded cognition is still about mental representations, just ones that are shaped by the body…
·      Embodied cognition replaces representations with our activity in a richly perceived world…

In this argument, Wilson argues that the cognition developed by the perception and representation of the environment, and that developed by physical interaction with the environment are completely separate. I am curious to know what you all have to think? Do you think the cognition is developed from perception of the environment, interaction with it, or is completely independent of either?

The websites I used for my research on the subject are listed below if you wish to read up on the subject yourselves!


Barsalou, Lawrence W. “Grounded Cognition: Past, Present, and Future”. Department of Psychology, Emory University. Cognitive Science Society, Inc. 2010

US National Library of Medicine

Wilson, Andrew. “Grounded vs. embodied cognition: a (hopefully contentious) note on terminology”. Psychsciencenotes.blogpot.com. Monday, 1 July 2013. (Accessed Wednesday, 20 September 2014).
http://psychsciencenotes.blogspot.com/2013/07/grounded-vs-embodied-cognition.html



Knowledge: pain or power?

Knowledge: pain or power?

In reading Einstein's Dreams this week two particular passages stood out to me.

"If a person holds no ambitions in this world, he suffers unknowingly. If a person holds ambitions, he suffers knowingly, but very slowly." (pg 36)

 In reading this I took this to mean that some people are ignorant to what they are missing out on, while others know what they must give up for their goals. In this situation it seems to me that knowledge is pain.

"Some few people in every town, in their dreams, are vaguely aware that all has occurred in the past. These are the people with unhappy lives, and they sense that their misjudgments and wrong deeds and bad luck have all taken place in the previous loop of time." (pg 8)

In this passage as well it seems that knowledge is pain, those that recognize failure and think about the missteps they have taken are doomed to suffer. On the other hand, those that do no analyze their pasts, but simply live are less exposed to such torture.

In relation to revolution I of course think that thinking and knowledge are the foundation, but so is action, and in many cases thinking can become so overwhelming that no action ensues. I think that often times the most intelligent people become bogged down by their thoughts and this inhibits their ability to take action.

If knowledge is painful, however, does this diminish the power of knowledge?


Tuesday, September 9, 2014

Dimension Reduction and Time

A couple of weeks ago, I attended my department's lecture series which featured a professor from the CSM math department giving a talk on what he refers to as "active subspaces". The concept refers a way to reduce the complexity in high dimensional problems by exploiting lower dimensional structure. In simple terms, find what dimensions and variables are not impacting the higher order results and align your axis in a way that eliminates these variables. From a mathematical standpoint, the concept intrigued me.

Having been immersed in the concepts of space and time this week, I was reminded of the talk by certain sections in Einstein's dreams. Given the sensitive relationship often assigned to time and space, this idea got me thinking of time as an exploitable variable. Being a research oriented geophysicist, keenly interested in problems having significant spatio-tenporal elements, I've been pondering whether time is an element or dimension that can ever truly be reduced out of a problem.

Now, it certainly is an element that is reduced out of many data-sets. Some data sets exist in a "time-series" -- intimately linked to time -- and others exist without any sense of time. To give concrete examples, I've worked recently on modeling asteroids, a dataset that is purely spatial as far as my analysis is concerned. An asteroid has a defined shape and I've eliminated the element of rotation with time, as it is considered irrelevant for my goals. I've also worked with tsunami data, analyzing the number of events over a period of time. A third, more subtle example might be my work this past summer with microseismic data from fraccing, a datatset that has definite spatio-temporal elements, but also one that can be analyzed as a function of the entirety of events without any recognition of time.

In thinking about these distinctly unique sets of data, I've returned to the question on whether time can actually ever be completely removed from a set of data. Or rather, whether it should ever be completely removed. For the sake of some analysis, it is probably realistic to assume that it can be removed, but I can't help but feel after the readings this week that both the frame of reference for the timing of data and unique aspects of time itself are crucial to all problems, just in different ways. For example, in my asteroid dataset, the asteroids themselves do not change shape in short times (as far as I know...), however, the directionality of orbiting instruments with respect to the rotation of the asteroid likely has implications on the recoverable data collected. In this case, the element of time now becomes crucial, as the orbiting parameters are not only a function of space, but also time.

The other more "out-there" idea I'll leave you with is the concept of data in non-linear time space. As Einstein's dreams has made evident, the concepts of time vary greatly with a little bit of imagination. What would it look like to analyze data as a function of some type of non-linear time? Would this ever be useful? Obviously slight modifications like log-time or things of that nature are already done, but are more radical time constructs useful in a mathematical sense? If anyone knows of anything that is being done in this nature already, I'd love to hear or read about it.

Monday, September 8, 2014

The Dunning-Kruger Effect

Last week, we discussed the Dunning-Kruger Effect in relation to the readings, particularly Plato's Meno. As a refresher, the Dunning-Kruger Effect is a phenomenon where an individual mistakenly assumes his/her level of ability is higher than it actually is. In addition to being mistaken about the self, this phenomenon also extends to those with a high level of ability in being mistaken about others. To put it proverbially, "the smarter you are, the less you know."

I'm sure you can already begin to see how this connects to Meno. In Plato's condemnation of Gorgias' and his disciples' teaching for supposing that they could conceive an answer for the question, "what is virtue?", he instills self-doubt in Anytus through carefully-structured argumentation that virtue is not a readily-defined term.

In terms of the overarching theme of revolution, the implications of this effect are profound. An intelligent person is able to rationalize just about anything. Indecision, self-reflection, deep thinking, communication: these become the defining actions a thinker might take when tackling a philosophical or morally ambiguous problem. I would say that simple and straightforward action is almost unheard of in this type of setting. That revolution among thinkers is accomplished, perhaps, on a much different timescale than those among the "layman" (for lack of a better term). What do you think? Does this seem to conflict with your idea of a revolution, like it does for me? Does this seem to hint towards the common factor between "effective" revolutions (i.e. those that accomplish the goals they worked to achieve)?

Sunday, September 7, 2014

Gender and the Logistic Map

A few weeks ago at the end of class someone question whether or not the use of a gendered pronoun in an official document makes that big of a difference. As a proud modern feminist and strong supporter of the LGBTQ+ community I reacted very negatively to this statement. "Of course it matters! How could it not?" I questioned. However, I couldn't come up with a strong enough reason as to why it matters until our class discussion on the logistic map. This mathematical system of mapping shows how a simply non-linear dynamical equation can create complex and chaotic behavior. The formula is as follows:

x(n+1) = r*x(n)*(1 - x(n))

As the r increases the equation follows certain patterns. When 0 < r < 1 the equation eventually reaches 0. For 1 < r < 2, the equation approaches  (r - 1) / r. For 2 < r < 3 the system will oscillate and then approach (r - 1) / r. For r > ~3 (with the exception of certain islands of stability), the equation will exhibit chaotic behavior. For more information on this please go to http://en.wikipedia.org/wiki/Logistic_map.

Before discussing the relation between the logistic map and gender, I think it is necessary to explain what I mean by gender pronouns. This video does (what I think to be) a good job discussing gender pronouns from a linguistic sense and prefacing a discussion of their impacts: http://www.youtube.com/watch?v=46ehrFk-gLk.

So, I propose that r is the occurrence of gendered-pronouns for negatively impacted individuals and the pattern exhibited is the emotional response of the individual. If the individual rarely hears the wrong pronouns their r-value exists between 0 and 1. They can shrug off the comments and continue. Once the pronouns become more and more common, the individual reaches a point where they are dramatically effecedt, but this point will not come for a while so their r is still between 1 and 2. If they hear a lot of these pronouns or the instances they hear these words trigger the individual then their r has come between 2 and 3 and they quickly reach a point of dramatic emotional responses, typically these are not healthy. Finally, if the individual hears too many of these pronouns then they reach into the chaotic behavior range.

So, an individual has chaotic emotional response. What does that mean on an substantial basis? Since chaos is the sensitivity and culmination of initial conditions. This is often why 11% of the engineering field consists of women. If every engineer is a he then why try and break into a field that will be nothing but a battle? This is why women are treated as lesser people than men. If the Universal Declaration of Human Rights says that only 'he' will be safe, then is there protection for women? This is why one half of transgender youth attempt suicide. Why be a part of a world where no one acknowledges your core identity?

Yes, a pronoun here and there does not make that big of a difference. They can be shrugged off and ignored with little effects. But, when academia only pertains to males and each official document only uses 'he' and no one will respect you enough to use what you prefer then we start to have problems. It's not just a pronoun. It's a view of society that I believe needs to change before it becomes too chaotic.
Sorry, the original post didn't load correctly. Here is the post again in full:

Platonic Forms

Explanation by David Macintosh:

In his Socratic dialogues Plato argues through Socrates that because the material world is changeable it is also unreliable. But Plato also believed that this is not the whole story. Behind this unreliable world of appearances is a world of permanence and reliability. Plato calls this more real (because permanent) world, the world of ‘Forms’ or ‘Ideas’ (eidos/idea in Greek). But what is a Platonic Form or Idea?

Take for example a perfect triangle, as it might be described by a mathematician. This would be a description of the Form or Idea of (a) Triangle. Plato says such Forms exist in an abstract state but independent of minds in their own realm. Considering this Idea of a perfect triangle, we might also be tempted to take pencil and paper and draw it. Our attempts will of course fall short. Plato would say that peoples’ attempts to recreate the Form will end up being a pale facsimile of the perfect Idea, just as everything in this world is an imperfect representation of its perfect Form. The Idea or Form of a triangle and the drawing we come up with is a way of comparing the perfect and imperfect. How good our drawing is will depend on our ability to recognise the Form of Triangle. Although no one has ever seen a perfect triangle, for Plato this is not a problem. If we can conceive the Idea or Form of a perfect triangle in our mind, then the Idea of Triangle must exist.
The Forms are not limited to geometry. According to Plato, for any conceivable thing or property there is a corresponding Form, a perfect example of that thing or property. The list is almost inexhaustible. Tree, House, Mountain, Man, Woman, Ship, Cloud, Horse, Dog, Table and Chair, would all be examples of putatively independently-existing abstract perfect Ideas.

Plato says that true and reliable knowledge rests only with those who can comprehend the true reality behind the world of everyday experience. In order to perceive the world of the Forms, individuals must undergo a difficult education. This is also true of Plato’s philosopher-kings, who are required to perceive the Form of Good(ness) in order to be well-informed rulers. We must be taught to recall this knowledge of the Forms, since it is already present in a person’s mind, due to their soul apparently having been in the world of the Forms before they were born. Someone wanting to do architecture, for example, would be required to recall knowledge of the Forms of Building, House, Brick, Tension, etc. The fact that this person may have absolutely no idea about building design is irrelevant. On this basis, if you can’t recall the necessary knowledge then you’re obviously not suited to be an architect, or a king. Not everyone is suited to be king in the same way as not everyone is suited to mathematics. Conversely, a very high standard in a particular trade suggests knowledge of its Forms. The majority of people cannot be educated about the nature of the Forms because the Forms cannot be discovered through education, only recalled.

To explain our relationship to the world of the Forms, in the Republic Plato uses the analogy of people who spend their whole lives living in a cave [see Allegory of the Cave]. All they ever see are shadows on the walls created by their campfire. Compared with the reality of the world of the Forms, real physical objects and events are analogous to being only shadows. Plato also takes the opportunity to use the cave analogy as a political statement. Only the people who have the ability to step out into the sunlight and see (recall) the true reality (the Forms) should rule. Clearly Plato was not a fan of Greek democracy. No doubt his aristocratic background and the whims of Athenian politics contributed to his view, especially as the people voted to execute his mentor Socrates.

Plato leaves no doubt that only special people are fit to rule. Who are the special people who can recognise the Forms? For Plato the answer is straightforward: the ideal ruler is a philosopher-king, because only philosophers have the ability to discern the Forms. Plato goes on to say that it is only when such a person comes to power that the citizens of the state will have the opportunity to step out of the cave and see the light.

https://philosophynow.org/issues/90/Plato_A_Theory_of_Forms


Essentially, platonic forms are outside of human perception or use (they would exist with or without humans). That there is an 'essence' for everything that exists in an etherial form, and that these essences are no less real than the chair you are sitting in.

Around the turn of the 20th century existentialism started to form, and it challenged these ideas. Jean Paulsartre defined existentialism as being: the existence proceeds the essence (basically the reverse of Plato's Theory of Forms). Therefore, existentialists could never believe in platonic forms. One example is this. Consider a chair. Look around you and see all the different types of chairs. Is any one of them more of a 'chair' than another? What about an exercise ball? Is that less of a chair? One could answer: no, an object becomes a chair when you determine a function for it. In which case, the chair is a chair because we decide it is. This argues agains platonic forms. However, someone else could say that the essence of a chair already exists, that there are certain aspects of a chair that will make a chair a chair because it fits the qualities of the essence of a chair, its true form. Personally, I believe more in existentialism than in platonic forms. However, when it come to the idea of souls or time, things that are not physically concrete, I see the appeal for a platonic ideology. Platonic forms are not as cold and materialistic and therefore, I think people find it more welcoming than existentialism.
Platonic Forms


Explanation by David Macintosh:

In his Socratic dialogues Plato argues through Socrates that because the material world is changeable it is also unreliable. But Plato also believed that this is not the whole story. Behind this unreliable world of appearances is a world of permanence and reliability. Plato calls this more real (because permanent) world, the world of ‘Forms’ or ‘Ideas’ (eidos/idea in Greek). But what is a Platonic Form or Idea?

Take for example a perfect triangle, as it might be described by a mathematician. This would be a description of the Form or Idea of (a) Triangle. Plato says such Forms exist in an abstract state but independent of minds in their own realm. Considering this Idea of a perfect triangle, we might also be tempted to take pencil and paper and draw it. Our attempts will of course fall short. Plato would say that peoples’ attempts to recreate the Form will end up being a pale facsimile of the perfect Idea, just as everything in this world is an imperfect representation of its perfect Form. The Idea or Form of a triangle and the drawing we come up with is a way of comparing the perfect and imperfect. How good our drawing is will depend on our ability to recognise the Form of Triangle. Although no one has ever seen a perfect triangle, for Plato this is not a problem. If we can conceive the Idea or Form of a perfect triangle in our mind, then the Idea of Triangle must exist.
The Forms are not limited to geometry. According to Plato, for any conceivable thing or property there is a corresponding Form, a perfect example of that thing or property. The list is almost inexhaustible. Tree, House, Mountain, Man, Woman, Ship, Cloud, Horse, Dog, Table and Chair, would all be examples of putatively independently-existing abstract perfect Ideas.

Plato says that true and reliable knowledge rests only with those who can comprehend the true reality behind the world of everyday experience. In order to perceive the world of the Forms, individuals must undergo a difficult education. This is also true of Plato’s philosopher-kings, who are required to perceive the Form of Good(ness) in order to be well-informed rulers. We must be taught to recall this knowledge of the Forms, since it is already present in a person’s mind, due to their soul apparently having been in the world of the Forms before they were born. Someone wanting to do architecture, for example, would be required to recall knowledge of the Forms of Building, House, Brick, Tension, etc. The fact that this person may have absolutely no idea about building design is irrelevant. On this basis, if you can’t recall the necessary knowledge then you’re obviously not suited to be an architect, or a king. Not everyone is suited to be king in the same way as not everyone is suited to mathematics. Conversely, a very high standard in a particular trade suggests knowledge of its Forms. The majority of people cannot be educated about the nature of the Forms because the Forms cannot be discovered through education, only recalled.

To explain our relationship to the world of the Forms, in the Republic Plato uses the analogy of people who spend their whole lives living in a cave [see Allegory of the Cave]. All they ever see are shadows on the walls created by their campfire. Compared with the reality of the world of the Forms, real physical objects and events are analogous to being only shadows. Plato also takes the opportunity to use the cave analogy as a political statement. Only the people who have the ability to step out into the sunlight and see (recall) the true reality (the Forms) should rule. Clearly Plato was not a fan of Greek democracy. No doubt his aristocratic background and the whims of Athenian politics contributed to his view, especially as the people voted to execute his mentor Socrates.

Plato leaves no doubt that only special people are fit to rule. Who are the special people who can recognise the Forms? For Plato the answer is straightforward: the ideal ruler is a philosopher-king, because only philosophers have the ability to discern the Forms. Plato goes on to say that it is only when such a person comes to power that the citizens of the state will have the opportunity to step out of the cave and see the light.

https://philosophynow.org/issues/90/Plato_A_Theory_of_Forms


Essentially, platonic forms are outside of human perception or use (they would exist with or without humans). That there is an 'essence' for everything that exists in an etherial form, and that these essences are no less real than the chair you are sitting in. 

Around the turn of the 20th century existentialism started to form, and it challenged these ideas. Jean Paulsartre defined existentialism as being: the existence proceeds the essence (basically the reverse of Plato's Theory of Forms). Therefore, existentialists could never believe in platonic forms. One example is this. Consider a chair. Look around you and see all the different types of chairs. Is any one of them more of a 'chair' than another? What about an exercise ball? Is that less of a chair? One could answer: no, an object becomes a chair when you determine a function for it. In which case, the chair is a chair because we decide it is. This argues agains platonic forms. However, someone else could say that the essence of a chair already exists, that there are certain aspects of a chair that will make a chair a chair because it fits the qualities of the essence of a chair, its true form. Personally, I believe more in existentialism than in platonic forms. However, when it come to the idea of souls or time, things that are not physically concrete, I see the appeal for a platonic ideology. Platonic forms are not as cold and materialistic and therefore, I think people find it more welcoming than existentialism.