Essay on New Ways of Thinking in Science and Art

1245 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 …show more content…
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 wouldn’t be capable of acquiring new knowledge. New ways of thinking was necessary for expanding my horizons and being open minded about the new ideas. Natural science has its dangers as well as its benefits of scientific knowledge. The success on natural science is quite noteworthy but can be modified over time. Let’s take Isaac Newton’s theory of

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