Algebra itself is ethically neutral. 2+2=4 is neither good nor evil. But its applications have profound ethical dimensions.
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The algebraic models used in finance can be used to create prosperity or to create catastrophic market crashes.
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The algebraic algorithms used in machine learning can be used to diagnose diseases or to create biased systems that perpetuate social inequality.
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The algebraic principles of cryptography can be used to protect the privacy of dissidents or to shield the communications of terrorists.
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As mathematicians and scientists, we have an ethical responsibility to consider the consequences of our work.
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Just because we *can* build a model doesn't always mean we *should*.
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We must think about the variables we choose to include in our models, and the ones we choose to ignore.
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What is the 'objective function' we are trying to maximize? Is it just profit? Or does it include human well-being?
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Understanding the algebra allows you to see the hidden assumptions and potential biases in any system.
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Mathematical literacy is a key component of modern ethical citizenship.
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