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Quote by F. William Lawvere

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Conceptual Mathematics: A First Introduction to Categories

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F. William Lawvere

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“Experience was what Galileo considered key to formulating accurate theories, since experience, which is literally defined as exposure to and observation of facts and events, gives one a tangible, real-life occurrence that substantiates a statement, rather than raw logic, which leads one to consider what’s plausible based on probability and deduction but not necessarily what’s true. Raw logic, Galileo knew, could lead one to discover a possibility, but not an actuality. Experience exposes the facts of the REAL WORLD, not what logic and reasoning, or the mind alone can create. Aristotle did not want to rely on abstractions and intangibilities, but in reality, he did, as he used sole logic.”

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“There is one thing I enjoy about STEM: I love how words such as therefore, because, since, and thus can often be used to deeply comprehend a topic in math and science. These words all precede some form of logical deduction, and that is what makes STEM so beautiful: with math and science, you can always learn the logic behind everything. From quantum mechanics to biomedicine, science always finds a way to explain the universe.”

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“Critical thinking using root definitions is a skill set that allows an individual, by themselves, to judge and settle disputes as well as set limits on what is considered to be morally ethical and correct manners of someone who has one’s behavior in society. However, critical thinking is much more than its root definition. Critical thinking is skillfully defining, intellectualizing, analyzing, and evaluating data and information gathered from all sources and producing belief and action in rhetoric that provides clarity and consistency through evidence and reason.”

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