Set Theory in the Flesh
The idea of infinity has been around for thousands of years. It it impossible to even
conceive of this number or anything that pertains to the infinite. There is always one more. A billion is a fairly large number, 1 with 9 zeros after it. If one counted by seconds without breaks, it would take over 32 years to reach it. A Google, is a number written as 1 with one hundred zeros after it. One couldn't even count the number of lifetimes it would take to count to this number. Yet there are even much higher numbers such as a Googleplex. This number is one with a Google zeros. It would take far far too long to even write out the number. If the entire known universe was packed with quarks, the smallest known material, the number of quarks would not add up to a Googleplex. Compared to infinity, though, this number is as far away as the number one.
Set theory is an area of mathematics that deals with inconceivable numbers, and
bottomless concepts such as infinity. As it turns out there are many different kinds and orders of Hartmann 2 infinity that were documented by George Cantor, who opened up this area of math for the world.
One way of describing these different levels of infinity is with Cantor's theoretical "Hotel Infinity" which is also an Allegory of his work and struggles in set theory. The story is interesting and also explains the fundamentals of infinity.
Cantor and his assistant built a wondrous hotel that was made in such a way that there
are infinitely many rooms. When he makes this hotel, his enemy Mr. Kronecker, criticizes itsaying that it's impossible and breaks the material of logic and should therefore be destroyed.
Kronecker was a real person who criticized Cantor's works from the start trying to get it
dismissed as not real mathematics. However, Cantor was able to publish his works, and in the story, his famous hotel was able to be printed in news paper advertisements. When the hotel finally filled up with an infinite number of people, Cantor's assistant didn't know what to do.
Finally, Cantor told him to make everyone move from their room to a room that is numbered one higher than the previous one they were in. By doing this, Cantor was able to make room for one more person.
In the short story “Where is Here” by Joyce Carol Oats the stranger discusses the idea of infinity. Infinity is an abstract concept that something is without a beginning or ending. The stranger gives three examples of this idea. All three can be represented of a different type of infinity.
...Most of the women working there had been killed, and some of her closest friends had been put in jail.
Obsessive-Compulsive Disorder (OCD) is a disorder which causes people to develop an anxiety when certain obsessions or compulsions are not fulfilled. OCD can affect both children and adults with more than half of all adults with OCD stating that they experienced signs as a child. People living with OCD display many obvious signs such as opening and closing a door fifty times because they have to do it “just right”. Others exhibit extreme cleanliness and will wash their hands or take showers as often as they can because they constantly feel dirty. OCD devastates people’s social lives as they are fixated and obsessed with perfection that can take forever to achieve. However people living with OCD are often found to have an above average intelligence and typically excel at school due to their detail oriented mindset, cautious planning and patience. OCD can be caused by many different factors such as genetics or the ever changing world a...
The idea of God is something that would not just come natural. It is not living ordinarily and just thinking of God. The idea of God as a whole must be created by God. If humans are finite, and God is infinite, how could one possible have the thought of such an infinite being.
OCD can be a difficult thing to live with and a struggle for some. If you are someone who has OCD and don’t get treatment you should because it may save your life or just simply help you to be a happier person if this disease gets you down. With all that being said I encourage anyone who has it not to let this get you down and please get treatment.
... buildings”, in their many kinds of program which according to them are to attract the crowds, and finally a series of mundane and worldly practices that they do is to alienate the presence of the Lord of their meeting places.
OCD is an anxiety disorder that describes someone with either obsessive thoughts or compulsive behavior or with both (Thomsen 1). Anybody with this psychological disorder have thoughts and a repetitive behavior going on in their head that they cannot stop; all these thoughts can result to a highly anxiety disorder. Obsessions can result to the compulsions that are also repetitive behaviors (“Obsessive-Compulsive Disorder: Part II” 2). There are different kinds of obsessions one person has, but the most common are fear of contamination, fear of behaving in a socially unacceptable manner, need for exactness, and fear of making a mistake. The most common compulsions are cleaning, constantly checking things; such as making sure the door is locked, ordering, and avoidance (“Obsessive-Compulsive Disorder: Part II” 2). Less than 20% of people have obsessions or compulsions and at least 80 % of people with OCD have both obsessions and compulsions (Bakalar 3).
Mayo Clinic defines Obsessive-Compulsive Disorder as an anxiety disordered characterized by unreasonable thoughts and fears (obsession) that lead to to do repetitive behaviors ( compulsions). A person with OCD has to perform their own rules and rituals in order to control their anxiety. OCD can cause a person to wash, count, repeat actions, and arrange things in order. All of these symptoms are portrayed by Howard Hughes.
OCD is an anxiety disorder that is described as someone with obsessive thoughts and/or compulsive behavior. People with OCD are caught up in repetitive behavior and thoughts that they cannot stop. Obsession is defined as unwanted, recurrent, and disturbing thoughts that a person cannot stop. These thoughts are unable to be suppressed and can result in severe anxiety. Compulsions are the result of the obsession. These are repetitive, ritualized behaviors that are done to alleviate the anxiety caused by the obsession. (2) The most common obsessions are fear of contamination, fear of causing harm to another, fear of making a mistake, fear of behaving in a socially unacceptable manner, need for symmetry or exactness, and excessive doubt. The most common compulsions are cleaning/washing, checking, arranging/organizing, collecting/hoarding, and counting/repeating. (3) Some people with OCD have rituals that help relieve the anxiety; however, that relief is only temporary. (4) Most patients (at least 80%) with OCD have both obs...
Obsessive Compulsive Disorder is a disease that a lot of people suffer with in society especially young adults. While it is not a disease that is deadly, it does affect the victim in every day aspects of their life and can ultimately control their lives. Obsessive Compulsive Disorder (OCD) is defined by the National Institute of Mental Health as, “… a common, chronic and long-lasting disorder in which a person has uncontrollable, reoccurring thoughts (obsessions) and behaviors (compulsions) that he or she feels the urge to repeat over and over”. The thoughts that individuals have when suffering through Obsessive Compulsive Disorder cannot be restrained and really can disturb the individual. Thoughts or actions that people may have can range from worrying about daily occurrences, such as washing their hands, to having thoughts of harming people that are close to them. People tend to have these reoccurring compulsions because they believe by doing them or thinking them, they will either prevent something bad from happening or because it eliminates stress that they have. This disease can last a lifetime and can be very detrimental and disabling to how one lives their lives. Individuals can start to see signs of OCD in either late adolescence or even early adulthood and everyone is susceptible. When it comes to classifying this incurable disease, there is much debate on whether or not it a type of anxiety (Abramowitz, Taylor, & McKay, 2009). It is important to be able to understand this mental disorder since so many people are diagnosed with it. While there are treatments for OCD, there are no cures yet. Treatments could range anywhere from taking prescribed medication to just going to therapy and counseling fo...
"Because all created things are limited, that which comes before and after them must be boundless" (Gaarder, Jostein 34)
OCD is known as one of the anxieties disorders (geocities). It can be a crippling condition that can persist throughout a person’s life (geocities). Someone who suffers from OCD can become trapped in a pattern of repetitive thoughts and behaviors that are senseless and distressing but very difficult to overcome (geocities). OCD is linked to a kind of “short-circuit” in the way the brain processes worry thoughts (kids health). People with OCD have obsessions and compulsions.
Against taking such thoughts as literally true, Kant argued that reason ought to stop at the bounds of sense, critically aware of the limitations of our powers of understanding. We simply cannot grasp infinity with our understanding, even though we can reason quite well about infinity in mathematics. Metaphysical ideas of God, soul, immortality, the Good, Freedom, Substance, and so on, are not logically impossible, but neither are there conclusive proofs for
The history of math has become an important study, from ancient to modern times it has been fundamental to advances in science, engineering, and philosophy. Mathematics started with counting. In Babylonia mathematics developed from 2000B.C. A place value notation system had evolved over a lengthy time with a number base of 60. Number problems were studied from at least 1700B.C. Systems of linear equations were studied in the context of solving number problems.