WI Baruch Spinoza & Gottfried Leibniz died young.

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If Baruch Spinoza and Gottfried Leibniz died before making impact on European philosophy, what would be consequences on philosophical and scientific areas?
Was rationalism a produce of the age, and without these two, other schollars that remain forgotten in our time, would formulate tenants of rationalism and scientific method?
OR
Was it a stroke of genious and philosophers of Europe would remain unaware of those ideas for long?
For how long?
What effects it could have on Industrial Revolution?
 
I'd be teaching fluxions and fluents.
Newtonian calculus works it's just a bit more unwieldy than Leibnitzian calculus so Maths is probably little changed in the long run.
 

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I'd be teaching fluxions and fluents.
Newtonian calculus works it's just a bit more unwieldy than Leibnitzian calculus so Maths is probably little changed in the long run.

Just out of curiosity. What is the difference? Except the silly names (for alt!earthlings it is our names that would rise brows)
I didn't realize that Spinoza's philosophy had enough effect as it is.

It had quite an impact on the European philosophy, sometimes directly, sometimes by inticing criticism.
 
I'd be teaching fluxions and fluents.
Newtonian calculus works it's just a bit more unwieldy than Leibnitzian calculus so Maths is probably little changed in the long run.

Newton's notation for derivatives is a dot over the function, and is occasionally still used. Very similar to the ' (prime) notation that is also used.

The wiki article, however, says that Newton didn't have a single notation (but several) for integration.

The Leibnitz notation of dx/dt for derivatives and /x(t)dt for integrals (imagine the / is a proper integral sign) shows the direct connexion between the two operations in a much better and more helpful way than Newton's.

However, lots of other mathematicians came along and played with/fixed calculus, so I'd imagine SOMEONE would come up with something as useful as Leibnitz's notation over the next century or so.
 
Newton's notation for derivatives is a dot over the function, and is occasionally still used.
Frequently still used, in physics, for time derivatives. Those pop up very often, so it's used a lot more than you might think.

However, lots of other mathematicians came along and played with/fixed calculus, so I'd imagine SOMEONE would come up with something as useful as Leibnitz's notation over the next century or so.
Quite, there were many people working on the subject.
 
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