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Did Aristotle philosophy held back the discovery of calculus?

In this question on HSM I asked about the obstacles that made the discovery of calculus very late ? I mean that calculus is not that difficult or hard and yet took more than 1000 year to be discovered/invented.

One of the factors that I think might have played a role is philosophy. I have heard that some of the ancient and medieval mathematicians in Islamic world were influenced by Aristotle’s philosophy, which had a negative view of infinity and rejected the concept of limit and convergence. Aristotle also preferred geometric methods over algebraic methods, which might have limited the scope and applicability of calculus. Is this true? How did philosophy affect the development of calculus? And is philosophy to blame for the discovery of calculus taking more than 1000 years?

That was a claim that I made in my question and I received comments that this is true but I always heard that Archimedes could have discovered calculus if He ignored philosophy.

Is that true that Aristotle philosophy was to blame for the discovery of calculus taking more than 1000 years?

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