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News
July 24, 2026
‘I Like Self-Fulfilling Prophecies
Andrey Vorchik studies happiness, delivers popular science lectures, and believes that science should address social issues as well. In an interview for the Young Scientists of HSE University project, he spoke about how emotions influence decision-making, the Bermuda Triangle formed by the bathroom, refrigerator, and bed, and the ideal formula for education.
July 24, 2026
'Physics Is What the World Is Literally Built On'
Physicist Nina Dzhanayeva, recipient of a Vladimir Potanin Foundation scholarship, focuses her research on nanophotonics. In this interview for the HSE Young Scientists project, she discusses nanowells, scientific intuition, and how physics can help in making frangipane cream puffs.
July 20, 2026
Scientists Create Open Dataset for Studying Concentration
A team of Russian researchers, including scientists from HSE University–St Petersburg, has developed the first open multimodal dataset containing recordings of brain activity, heart function, and video observations to help researchers understand what happens in the human brain during deep concentration. In the future, the dataset could accelerate the development of neural interfaces, rehabilitation technologies, and AI systems. The article has been published in Scientific Data.

 

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Mathematical Knowledge: Intuition, Visualization, and Understanding

Topoi. 2010. Vol. 29. No. 1. P. 1–2.
Irina S., Horsten L.

According to the orthodox conception, mathematicalknowledge is obtained by a combination of mathematicalintuition and deduction: the truth of the axioms is intui-tively given, and theorems are obtained from axioms bylogical inference. Intuition and deduction are viewed astwo separate modules of mathematical thought, and theycan be studied largely independently of each other. Butthere are reasons why this view has come under increasingpressure.

Language: English
DOI
Keywords: Visualizationjustificationmathematical intuitionmathematical practice
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