INTENTIONALITY OF MATHEMATICAL DISCOURSE: THE NECESSITY OF MATHEMATICAL TRUTHS
Vitaliy Valentinovich Tselishchev1,2
1Institute of Philosophy and Law, Siberian Branch of the Russian Academy of Science, 8, Nikolaev st. 630090, Novosibirsk, Russia
2Novosibirsk National Research State University, 2, Pirogov st. 630090, Novosibirsk, Russia
Keywords: математика, логика, модальность, необходимость, интенсиональность, mathematics, logic, modality, necessity, intensionality
Abstract
The article discusses the application of modal logic to the analysis of mathematical discourse. It is shown that such an application requires caution, as it often leads to absurd results. In particular, the thesis is being analyzed that the necessity of mathematical truths is provable in mathematics. It is shown that such a mixture of metaphysics and mathematical logic is illegal.
|
