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In which ways will mathematics, specifically pure mathematics, be affected by technological advancements (e.g. machine learning, quantum and high-performance computing)?

How will a future mathematician's career be modified by use of AI for high-powered computation? How with the philosophical approach of pure mathematics change with greater implementation of machine learning?

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Joseph’s Answer

Mathematics is the foundation of artificial intelligence, machine learning, and robotics. In Silicon Valley, there's a saying: "Garbage In, Garbage Out." This means that computers can produce a lot of data, but it needs to be checked for quality to be useful.

While in college during the 1970s, I used Texas Instruments calculators and IBM punch cards to calculate averages and other statistical measures. Back then, statistics and numerical analysis were the early forms of what we now call data science, which focuses on finding patterns and trends.

Machine learning, AI, and high-performance computing rely on data science grounded in mathematics to injest huge amounts of data, in order to predict and influence outcomes.
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Andrew’s Answer

Mathematics, especially “pure” mathematics, is an art. It is a creative enterprise in the exploration of possibilities, new structures and systems for its own beauty and sake. In its purest manifestation, it is unaffected by advances in technology.

On the practical side, mathematics is the language of science and technology. It is a symbolic and logical language developed, and, if necessary, modify to describe natural as well as man-made phenomena. Hence, mathematicians will adapt to scientific and technological advances with necessary development and expansion of mathematical knowledge to serve the scientific and technological communities. We may call these mathematicians applied mathematicians.
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