Read e-book online Mathematics and Its Applications: A Transcendental-Idealist PDF

By Jairo José da Silva

This monograph deals a clean viewpoint at the applicability of arithmetic in technology. It explores what arithmetic needs to be in order that its functions to the empirical international don't represent a secret. within the method, readers are awarded with a brand new model of mathematical structuralism.
The writer info a philosophy of arithmetic within which the matter of its applicability, rather in physics, in all its varieties might be defined and justified. Chapters disguise: arithmetic as a proper technology, mathematical ontology: what does it suggest to exist, mathematical buildings: what are they and the way will we understand them, how diversified layers of mathematical structuring relate to one another and to perceptual buildings, and the way to exploit arithmetic to determine how the realm is.
The booklet at the same time develops alongside strains, either encouraged and enlightened through Edmund Husserl’s phenomenological philosophy. One line ends up in the institution of a specific model of mathematical structuralism, freed from “naturalist” and empiricist bias. the opposite results in a logical-epistemological clarification and justification of the applicability of arithmetic conducted inside of a distinct structuralist point of view. This moment line issues to the “unreasonable” effectiveness of arithmetic in physics as a way of illustration, a device, and a resource of no longer continuously logically justified yet worthy and potent heuristic strategies.

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Read e-book online Mathematics and Its Applications: A Transcendental-Idealist PDF

This monograph bargains a clean viewpoint at the applicability of arithmetic in technology. It explores what arithmetic needs to be in order that its functions to the empirical global don't represent a secret. within the approach, readers are offered with a brand new model of mathematical structuralism. the writer information a philosophy of arithmetic during which the matter of its applicability, fairly in physics, in all its varieties might be defined and justified.

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Mathematics and Its Applications: A Transcendental-Idealist Perspective (Synthese Library) by Jairo José da Silva


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