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How significant have notable individuals been in shaping the nature and…
How significant have notable individuals been in shaping the nature and development of mathematics as an area of knowledge? (CCH2A)
Unpacking
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notable individuals
remarkable, worthy of attention
shaping
molding, directing, guiding, influencing
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development
the way that something develops, progresses, changes over time
Very significant
Wiles decided to work alone not because he was selfish but because he didn't want any other ideas to interfere
Math is coherent, but having too many different ideas going on at the same time could influence Wiles' own creativity
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In mathematics a single mistake can make a proof no longer work. If one individual is wrong, then the whole work will fall apart, making the role of the individual particularly significant
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Moderately significant
There NEEDS to be a community to develop conjectures to work on, which individual mathematicians can then work on
Not that significant
There NEEDS to be diferent ideas and different perspectives, otherwise mathematical ideas cannot be developed
Mathematical ideas are based on other conjectures and theorems, and so if we don't have a community working together, those will be difficult/impossible to develop
Mathematicians build on ideas contributed by each other and so progress is impossible without the community
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