By José Ferreirós
This e-book provides a brand new method of the epistemology of arithmetic by means of viewing arithmetic as a human job whose wisdom is in detail associated with perform. Charting an exhilarating new course within the philosophy of arithmetic, José Ferreirós makes use of the the most important concept of a continuum to supply an account of the improvement of mathematical wisdom that displays the particular event of doing math and is smart of the perceived objectivity of mathematical results.
Describing a traditionally orientated, agent-based philosophy of arithmetic, Ferreirós indicates how the mathematical culture developed from Euclidean geometry to the genuine numbers and set-theoretic constructions. He argues for the necessity to bear in mind a complete net of mathematical and different practices which are realized and associated by way of brokers, and whose interaction acts as a constraint. Ferreirós demonstrates how complicated arithmetic, faraway from being a priori, is predicated on hypotheses, unlike user-friendly math, which has robust cognitive and functional roots and for this reason enjoys certainty.
Offering a wealth of philosophical and old insights, Mathematical wisdom and the interaction of Practices demanding situations us to reconsider a few of our most elementary assumptions approximately arithmetic, its objectivity, and its dating to tradition and science.
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Mathematical Knowledge and the Interplay of Practices by José Ferreirós