Math+as+a+Way+of+Knowing

Theory of Knowledge

Math as an Way of Knowing

Is it there is to be discovered? -It is not so as to discover Math itself because no one can start learning something without even having any background information about it -It is the more complex concepts of Math that is to be discovered but the foundation of Math itself remains as a somewhat compulsory for society to learn even if it is only during the early years of one’s life

Are we placing a system of understanding on what we experience in using Math? -It is a understanding held as true because one knows that Math is not just a subject about numbers or learning a language using numbers but it is also a way in studying other respective fields because Math is interrelated with everything from the most basic concepts to the most complex theories.

Why teach Math? -To establish a foundation for the knowledge to be expounded upon in the future -Some people but not all are not willing to discover on their own all about Math because they fear to misinterpret or misunderstand a concept or definition that Math possesses -No one is born with natural Math skills and they still have to undergo the very basics of Math, which is the foundation of its learning -It will depend on the person who was taught of Math on how deep he will go down in understanding and thinking more critically about Math -One should learn how to understand the different concepts of life but there are many different ways in learning and each person have each of their own way of learning, developing and understanding. -Some people understand things better through Math while others don’t so it really would depend on the individual on how to learn and understand something.

When stop teaching Math? The time one gives up Math as whole will never happen to as Math is interrelated to the realities and concepts in life no matter how simple or complex the involvement of Math is and even on our death, Math is still involved.

“How are they measured?” || What is not measurable? (Unquantifiable) Why can’t it be measured? ||
 * What is measurable? (Quantifiable)
 * Measurement of distance is quantifiable because there is a basis that has been agreed upon by majority of the people. || Love can never be measured because there is a different perception of each person, which is distinct from others ||
 * Music is quantifiable because there is a measurement for concepts of music like rhythm, pitch, ostinato, etc. || The concept of infinity is unquantifiable because it has both never ending limits in both ends. ||
 * Time in terms of the human conceptuality is measurable because of the clock that they have invented. || Happiness cannot be measured because no one can truly define happiness itself. ||
 * Temperature is also same as time because it was created in human conceptuality and a basis is Fahrenheit and Celsius. || Friendship is also an intangible item that cannot be measured because it also cannot be defined. ||
 * Measurement of mass is quantifiable because it has a basis, which is based on English and Metric System. || Suffering is intangible because one’s perception of suffering can vary from another. ||
 * Measurement of volume is measurable because it has an organized measurement units like liter and cubic meter. || Beauty is an immeasurable concept because one person has his own way of determining if someone or something is beautiful. ||
 * Value of money is measurable because a system of currencies has been established ||  ||

To measure something, what is required? - Universality of the measurement - Can only measure physical aspects - Quantification (use of numbers) - One needs a standard or reference point Is measurement comprehended rationally or empirically? Is there a difference between quantifiable and measurable? Is something measurable implies a notion of value? Value requires judgement. Data requires interpretation or analysis. <--- Numbers alone are just values but we must do something with them.
 * Love is... || Love is not... ||
 * affection/sacrifice || hate ||
 * intense feeling || indifference ||
 * passion || joke ||
 * from your heart || defined ||
 * blind || depressing ||
 * love || limited ||
 * beyond liking || generic ||
 * infatuation || not sacrifice ||
 * argument ||  ||
 * everywhere ||  ||
 * Cupid ||  ||
 * Valentine ||  ||
 * selfless ||  ||
 * heroic ||  ||
 * Candle Man ||  ||

Science and measurement Interpretation Analysis One Experiment?

Paragraph: What is measurable, what is not? Why are things measurable? What is required to make a measure? Is there a difference between measurable and quantifiable? Once something is quantified, what is required to make the data "useful"? How do you define the idea of utility (usefulness)? When we look at data, what are we looking for? Which comes first, rational or empirical? Give examples and Non-Examples

In reflection of the discussion from our last class, everything in our surroundings is quantifiable. Everything in our constantly expanding universe has different tangible to intangible things, all of them are quantifiable. But in the matter of it being measurable, it is a different question of a different matter. When something is measurable so to speak, it must comply upon a standardized measurement that has a standard reference port and universal. All of these characteristics must be present in order to identify something as measurable. Some objects are measurable because people usually seek out something to agree upon a consensus based on a agreed upon system of measurement. Measurable is a different concept to quantifiable. Quantifiable is anything that can be counted, graded, etc. that doesn't require a standardized method based on both rational and empirical knowledge whereas something measurable requires a more standard and complied upon system of measurement, which is based on comparison of data based on empirical and rational knowledge. After something is quantified, the result data needs to be agreed upon and made standardized so that it can be a useful data. But what does "useful" mean? Usefulness in definition is something that is able to be used for a practical purpose or in several ways. It is probably the most accurate definition that can be agreed upon. And in looking at a data, it depends upon the situation if rational or empirical method comes first. One example is that rational comes first if a theory is being formulated before proving it with empirical knowledge, which applies to most cases of theory making. One strong example is measuring how big the universe is. One could prove that it can be quantifiable by saying that the universe is constantly expanding and that the universe is a wide and big thing. But in proving that it is measurable, one could prove it with the measurement of light years, which is based on prior empirical and rational knowledge that had been compared on different existing previous data. In more simple terms of explaining of what are the distinctions between something measurable and quantifiable. I could say that I rate myself from 1 to 10 a 10 in scaling my physical appearance, which classifies as a quantifiable data. On the other hand, in terms of something being measurable, I can say that glass of water has 450mL of water filled in it because I have based it on a measurement that was based on previous empirical and rational knowledge that was agreed upon as an acceptable universal measurement.

19th-20th Century Math (Things Math has done) It has: -become simpler -has shown us that reality is more complicated than our senses would originally lead us to believe -more complicated -provide answers -explains how things work -creates understanding -shows how reality can be quantified -reality cannot be completely described by mathematics -math is a model of reality -not all people use math to explain reality (or understand really using math) -math has created weapons -using math to explain reality is much more accurate -math is a language -math is communication -math is understanding