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Quick Answers -§7.3.5
I know it was a quick transition, but the work we're studying now
basically uses modern algebraic notation (you can see this in our
sources).
Regarding solution and methods. You can solve an equation and
show someone you are correct without telling them how you found
it. There are plenty of professors (then and now) not in
permanent positions, and therefore whose livelihood relies on
continually demonstrating their worth in those positions.
I have a source for Wallis' curious π expression. I won't
discuss the details in class, but I'd be happy to discuss it out of
class.
"Corantos" implies current.
We will see Barrow's work in his notation. He avoided
infinitesimals because he couldn't justify them. Newton heard
Barrow's lectures before doing his work.
We will discuss some Newton - there is more in the source for you to explore.
Wallis is definitely not the first to work with infinity.
Seems reasonable that we're more in the direction of mathematics being
done at teaching institutions rather than by individuals directly
employed by the government.
There was no king in England 1649-1660, but the Glorious Revolution in
1688 led to a change of king, not the elimination of a king.
"Open secret" - known to many, but not officially stated.
Archbishop Ussher's 4004 BCE date is commonly stated for those who assert creation. Others are surely out there, too.
The Newton-Apple story isn't very well supported, but it's a difficult
story to support. It first appears in print about 70 years after
it supposedly happened.
Read more carefully - Suzuki says precisely that North, East, West, South = NEWS "is spurious".
Long ago: liberal arts go all the way back to Plato's academy.