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LOGICAL AND MATHEMATICAL INFERENCE: SYNTAX AND SEMANTICS OF PROOF

https://doi.org/10.25205/2541-7517-2018-16-3-28-37

Abstract

The paper treats the relation between mathematical and logical inferences in mathematics and analyses an ontological approach for explaining the indispensability of the semantic content from mathematical proof. It was shown that such an approach entails serious metaphysical commitments, that is why it is concluded that the epistemological approach is preferable in explaining the nature of the difference between the formal and mathematical inferences.

About the Author

A. V. Khlebalin
Institute of Philosophy and Law SB RAS
Russian Federation


References

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Review

For citations:


Khlebalin A.V. LOGICAL AND MATHEMATICAL INFERENCE: SYNTAX AND SEMANTICS OF PROOF. Siberian Journal of Philosophy. 2018;16(3):28-37. (In Russ.) https://doi.org/10.25205/2541-7517-2018-16-3-28-37

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ISSN 2541-7517 (Print)