The importance of simplicity and accuracy in math history and natural sciences

The more clearly and closely a statement describes something, the more accurate it is said to be.

The importance of simplicity and accuracy in math history and natural sciences

This is not the exact title I am not allowed to print the exact title here. If students are considering this title it is essential that they get the exact title from their teacher. Students will probably start this essay by considering the definitions of simplicity and accuracy — defining these concepts could be the structure around which the essay is based.

This leads on to thoughts about the very purpose of knowledge — this differs according to AoK. There is often a difference between the lived reality of simplicity, and the understanding once the knowledge framework of an AoK is applied.

However, the complexity of binding hydrogen to oxygen, and then designing a sensing system to produce a taste sensation is far more complex than the lived experience of tasting water may appear. This is just an example, which may not work for you, but I hope that it starts to illustrate the complexity of the word simplicity!

Is it measured or is it experienced? Is it predetermined by expectation or objectively analysed? Think about the duplicitous conversation: The accurate representation of knowledge is not the same as the meaning of knowledge that the knower brings to the conversation.

The transcript of the conversation is not the same as the lived experience of the conversation. The knower constructs the meaning and therefore the PK accuracy of the word in the context of everyday life. Reductionism Students could consider issues of reductionism in knowledge production, especially in the identification of causation.

When looking at issues of reductionism students could contrast two Areas of Knowledge, looking at the differences in methodology and concepts in the Knowledge Framework of each AoK. Issues around reductionism could be argued using a number of approaches, for example: As explanations are reduced in complexity the level of achievable measurement increases to an optimal point, and thereafter reduces.

The chicken or the egg?: Reducing the complexity of understanding could increase problems of causation as the direction of causation becomes less clear. For example if we look at the causes of artistic appreciation — the two determinants are the artistic subject, and the viewer.

In order to understand the direction of causation we could look at the process of development of the subject, the context of the subject, the meaning of the subject etc.

We could also look at the predisposition of the viewer, the history of the viewer, the emotional state of the viewer, the motivation of the viewer etc.

If we took all of these variables into account we could start to build a model which, maybe, shows the direction of causation. However, if we start to take away variables in order to simplify the model it becomes harder to understand the direction of causation — does the subject cause appreciation, or does the viewer create appreciation?

Simplicity and accuracy are both specific to the AoK and WoK under consideration. Simplicity in each AoK of knowledge will be defined, and represented, in very different ways.

Accuracy in RKS maybe in the detailed knowledge of the content of the religion. However, in AoK Maths simplicity may be seen in the lack of assumptions inherent to a solution, and accuracy may be seen in the supporting evidence for a solution, or it could be measured by degree of integer etc This form of analysis could be further developed for any other AoKs.

The Uncertainty Principle was developed in Physics, and states that there is limit to the accuracy of measurement of two related variables. As such, in terms of this essay, it would suggest that accuracy is limited. It could be argued that accuracy is not limited by the simplicity of the knowledge, but limited by natural physical properties.

To ask is the task

This is an area that students who are particularly interested in Mathematics or Physics could further develop in their essay. The Observer Effect is the notion that the very act of studying a phenomenon will change that phenomenon in some way.

The importance of simplicity and accuracy in math history and natural sciences

The Observer Effect could be used to extend the counterclaims within essays of students who are particularly interested in the Human or Experimental Sciences. The PT states that there is always a trade off between simplicity and accuracy.

Balancing Simplicity and Accuracy in Science Writing | News & Insights |

This is a very binary approach to the relationship. Effective essays could be written around the processes of modelling. AoKs define models in quite specific ways, but most will be developing models in terms of accuracy and simplicity.

It could be argued that the model is, therefore, simple but not accurate. However, real world feedback mechanisms which modify the model could lead to increased accuracy.Simplicity, in my opinion, is the quality or condition of being easy to understand or do.

It is when no thinking is needed. All that is needed is your prior knowledge and common sense. How important is the role of reason in the process of knowledge acquisition in the natural sciences? Is the scientific method flawless? Cite this page as: Dunn, Michael. Accuracy vs. Simplicity: A Complex Trade-O among pairs of degree of accuracy and degree of complexity.

However, one cannot in general tell what is the feasible set in the accuracy- it cannot but be the case), nothing is more natural than that they would be very cautious. The Importance of Simplicity and Accuracy in Math, History and Natural Sciences. Nov 18,  · Essay #6 May Accuracy & Simplicity.

Hi, History & Maths make good contrasting AoKs, focus on the various ways in which knowledge is produced in each AoK according to the knowledge frameworks. Hello and thanks for this post.

The importance of simplicity and accuracy in math history and natural sciences

What are your thoughts on me using the models in the natural sciences and math as a basis for my. Human and Natural Sciences are domains, where there seems to be a fundamental tradeoff that exists between accuracy and simplicity, which is intricately linked with the laws of nature.

The importance of this tradeoff in the formulation of theories has been the subject of .

Simplicity in the Philosophy of Science | Internet Encyclopedia of Philosophy