New Ways Of Thinking In Science And Art

1262 words - 5 pages

Samuel Johnson stated “Knowledge is of two kinds. We know a subject ourselves, or we know where we can find information upon it” (Richard Van De Lagemaat pg.28). Many philosophers constructed their ideologies by exploring the world around them and for their sense of curiosity. However, as the years passed, many of the theories proven changed due to new information discovered. The reason for these new discoveries to occur was because of “curiosity”. Curiosity opened the doors for inquiry and great ideas or even inventions. Before one can address the prescribed question they must first know what the usages of the words ‘new ways of thinking, facts and data’. These words have several possible meanings and can be interpreted differently based on our perception. As a result it can contribute to how well we understand the claim suggested. However, the claim above will be taken into consideration through the areas of: mathematics, natural sciences and lastly the arts. Personally, both discovering new ways of thinking and learning new data or facts are equally important since both aspects are required when it comes to this claim.
Math is known to become an international language where people can understand and resolve their differences. Math seems to be transnational with its rules and regulations. That’s one of the reasons we don’t really argue about who are right or wrong when it comes to this topic because we all know that there is a method on how to arrive to the correct answer. However, this raises the question to what extent people’s beliefs about the value of mathematics are determined by their ability in the subject. People who aren’t really good or excel in math would have a negative feedback about the value of math compared to a person who’s excellent in this field. As a result, we have different mind sets or opinions pertaining to the value of math. The famous Greek mathematician Euclid was the first person to show how “axioms, deductive reasoning and theorems could fit into logical system” (Eves, p. 19). Over two thousands of years no one ever questioned nor judged his claim. Not until the twentieth century where an Austrian mathematician known as Kurt Gödel came up with a proof known as Gödel’s incompleteness theorem, which suggested that “consistent axiomatic formulations of number theory include undesirable propositions” ³ (Hofstadter pg.17). By challenging this way of thinking it opened controversy where everyone wanted to see if this new idea or a way of thinking was accurate. But without Euclid fundamentals in geometry Gödel wouldn’t be accredited with his new discovery. We can tie language to the picture as well. A personal experience which I encountered was being in math studies, where reasoning became a vital role in grasping some concepts presented in the IB math curriculum. For incidents I started questioning why we had to solve some math equations differently than others. Without my understanding of the basic skills needed I...

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