Making of Mathematics
Making of Mathematics
Heuristic Philosophy of Mathematics
Cellucci, Carlo
Springer Nature Switzerland AG
03/2023
450
Mole
Inglês
9783030897338
15 a 20 dias
Descrição não disponível.
1. Introduction.- Part I. Heuristic vs. Mainstream. 2. Mainstream Philosophy of Mathematics.- 3. Heuristic Philosophy of Mathematics.- Part II. Discourse on Method. 4. The Question of Method.- 5. Analytic Method.- 6. Analytic-Synthetic Method and Axiomatic Method.- 7. Rules of Discovery.- 8. Theories.- Part III. The Mathematical Process. 9. Objects.- 10. Demonstrations.- 11. Definitions.- 12. Diagrams.- 13. Notations.- Part IV. The Functionality of Mathematics. 14. Explanations.- 15. Beauty.- 16. Applicability.- Part V. Conclusion. 17. Knowledge, Mathematics, and Naturalism.- 18. Concluding Remarks.- Index.
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heuristic philosophy of mathematics;mathematics and philosophy;the irrelevance view;foundationalist views on mathematics;mathematics and logicism;mathematics and formalism;the existence of mathematical objects
1. Introduction.- Part I. Heuristic vs. Mainstream. 2. Mainstream Philosophy of Mathematics.- 3. Heuristic Philosophy of Mathematics.- Part II. Discourse on Method. 4. The Question of Method.- 5. Analytic Method.- 6. Analytic-Synthetic Method and Axiomatic Method.- 7. Rules of Discovery.- 8. Theories.- Part III. The Mathematical Process. 9. Objects.- 10. Demonstrations.- 11. Definitions.- 12. Diagrams.- 13. Notations.- Part IV. The Functionality of Mathematics. 14. Explanations.- 15. Beauty.- 16. Applicability.- Part V. Conclusion. 17. Knowledge, Mathematics, and Naturalism.- 18. Concluding Remarks.- Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.