Previously, the common belief relating to knowledge was that it is a defined justified true belief. However in the era of exponential discoveries, knowledge is perceived as something that can be reviewed and revisioned over time. The vast discoveries of our yesterdays, todays, and tomorrows have led humanity to define knowledge,and all we gain from it, as an objective fact, that can be supported or denied by progression. This progression may be, but not limited to: evidence, discoveries, technology, or social trends. Therefor we can ponder upon the knowledge issue, in regard to two areas of knowledge: “How do we know that the natural sciences and mathematics will be justifiable in the future?” The foundations for these areas of knowledge, regarded
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Calculus, the study of change, is arguably the most recognizable and the most difficult of all the maths. Personally, I love math and when giving to the opportunity to take AP Calculus, along with IB Math Methods, it was an offer I could not refuse. However, prior to taking the class I knew nothing about what Calculus actually was. Delving in the study of Calculus, I discovered that it dates back all the way to the Egyptian Moscow papyrus (1820 B.C) with calculations of volume and area, a key concept of Calculus, inscribed within the tablet. There exists a plethora more of other early traces of Calculus, such as Exodus’ concepts of limits (408 B.C.) and Archimedes 's integral calculus (287 B.C.). The reasoning behind the math of these mathematicians is something could not be argued upon at the time, thus their concepts of math came to be known as justifiable truths. It has been centuries since the idea of limits was discovered but it is something that, to this day, is still taught and explored within modern day …show more content…
Referring back to my special situation of taking AP Calculus and IB Math Methods, these two maths are considered to be at two different extremes, however at times they intertwine with one another. Such a thing comes in handy especially on test, when I am able to solve an AP Calculus problem using mathematical methodology and concepts learned from IB Math. A great example being using Sandwich Theory for solving for the limit of complex differentiables. So, from my personal experience, I can agree with the idea that mathematics shall always be reliable when proven definitely true. Accepted knowledge involving mathematics because it is logical and supported by testing, is reliable in all instances that various concepts apply
Calculus, the study of change, is arguably the most recognizable and the most difficult of all the maths. Personally, I love math and when giving to the opportunity to take AP Calculus, along with IB Math Methods, it was an offer I could not refuse. However, prior to taking the class I knew nothing about what Calculus actually was. Delving in the study of Calculus, I discovered that it dates back all the way to the Egyptian Moscow papyrus (1820 B.C) with calculations of volume and area, a key concept of Calculus, inscribed within the tablet. There exists a plethora more of other early traces of Calculus, such as Exodus’ concepts of limits (408 B.C.) and Archimedes 's integral calculus (287 B.C.). The reasoning behind the math of these mathematicians is something could not be argued upon at the time, thus their concepts of math came to be known as justifiable truths. It has been centuries since the idea of limits was discovered but it is something that, to this day, is still taught and explored within modern day …show more content…
Referring back to my special situation of taking AP Calculus and IB Math Methods, these two maths are considered to be at two different extremes, however at times they intertwine with one another. Such a thing comes in handy especially on test, when I am able to solve an AP Calculus problem using mathematical methodology and concepts learned from IB Math. A great example being using Sandwich Theory for solving for the limit of complex differentiables. So, from my personal experience, I can agree with the idea that mathematics shall always be reliable when proven definitely true. Accepted knowledge involving mathematics because it is logical and supported by testing, is reliable in all instances that various concepts apply