In this paper I examine the heuristic view of mathematics focussing on an updated version of it. I discuss how the seminal work of Lakatos has been improved under several respects and I point at four issues that are particularly relevant for the philosophy of mathematics and mathematical practice from a heuristic point of view: 1. the quest for a method of discovery (§ 2); 2. the construction of heuristic procedure, that is rational and inferential ways of producing a hypothesis to solve a problem (§ 3); 3. the nature of mathematical objects (§ 4); 4. the relation between mathematics, evolution, and reality (§ 5).
Mathematical knowledge and its construction. The heuristic stance / Ippoliti, Emiliano. - In: PARADIGMI. - ISSN 1120-3404. - STAMPA. - 1:XXXVI(2018), pp. 189-202.
Mathematical knowledge and its construction. The heuristic stance
Emiliano Ippoliti
2018
Abstract
In this paper I examine the heuristic view of mathematics focussing on an updated version of it. I discuss how the seminal work of Lakatos has been improved under several respects and I point at four issues that are particularly relevant for the philosophy of mathematics and mathematical practice from a heuristic point of view: 1. the quest for a method of discovery (§ 2); 2. the construction of heuristic procedure, that is rational and inferential ways of producing a hypothesis to solve a problem (§ 3); 3. the nature of mathematical objects (§ 4); 4. the relation between mathematics, evolution, and reality (§ 5).| File | Dimensione | Formato | |
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