Options of Discovering and Verifying Mathematical Theorems – Task-design from a Philosophic-logical Point of View

Michael Meyer

doi:10.29333/ejmste/92561

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Michael Meyer ¹ ^*

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¹ University of Cologne, GERMANY^* Corresponding Author

Abstract

Mathematical theorems can be discovered and verified in different ways. The philosophical logic provides a conceptual understanding of these processes and helps to distinguish different options of initiating them. These options are established by analyzing different textbooks and describe the possibilities of the discovery and (empirical) verification of mathematical knowledge.

Keywords

abduction
discoveries
induction
options of task-design
philosophical logic
verifications

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

EURASIA J Math Sci Tech Ed, Volume 14, Issue 9, September 2018, Article No: em1588

https://doi.org/10.29333/ejmste/92561

Publication date: 25 Jun 2018

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How to cite this article

APA

Meyer, M. (2018). Options of Discovering and Verifying Mathematical Theorems – Task-design from a Philosophic-logical Point of View. Eurasia Journal of Mathematics, Science and Technology Education, 14(9), em1588. https://doi.org/10.29333/ejmste/92561

Vancouver

Meyer M. Options of Discovering and Verifying Mathematical Theorems – Task-design from a Philosophic-logical Point of View. EURASIA J Math Sci Tech Ed. 2018;14(9):em1588. https://doi.org/10.29333/ejmste/92561

AMA

Meyer M. Options of Discovering and Verifying Mathematical Theorems – Task-design from a Philosophic-logical Point of View. EURASIA J Math Sci Tech Ed. 2018;14(9), em1588. https://doi.org/10.29333/ejmste/92561

Chicago

Meyer, Michael. "Options of Discovering and Verifying Mathematical Theorems – Task-design from a Philosophic-logical Point of View". Eurasia Journal of Mathematics, Science and Technology Education 2018 14 no. 9 (2018): em1588. https://doi.org/10.29333/ejmste/92561

Harvard

Meyer, M. (2018). Options of Discovering and Verifying Mathematical Theorems – Task-design from a Philosophic-logical Point of View. Eurasia Journal of Mathematics, Science and Technology Education, 14(9), em1588. https://doi.org/10.29333/ejmste/92561

MLA

Meyer, Michael "Options of Discovering and Verifying Mathematical Theorems – Task-design from a Philosophic-logical Point of View". Eurasia Journal of Mathematics, Science and Technology Education, vol. 14, no. 9, 2018, em1588. https://doi.org/10.29333/ejmste/92561