1. Compare empiricism and rationalism
If mathematics is a priori, does the existence of mathematical knowledge constitute a refutation of empiricism? ... Mathematics isn't really knowledge about any matter of fact. ... Like logic it is a demonstrative science, mathematical truths are true by definition. Berkeley's radical opposition to the received view of mathematics in the philosophy of the late seventeenth and early eighteenth centuries, when mathematics was considered a "science of abstractions." ...
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- Grade Level: Undergraduate