Advances in Psychology Research. Volume 72 by Alexandra M. Columbus

By Alexandra M. Columbus

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All systems of space-sensation, however different they may be, are connected by a common Intuition in the Scientific Process and the Intuitive ―Error‖ of Science 25 two lines of thought: a) The relation between physics and mathematics as sciences and b) the question of multiple methods of thinking in different sciences and in science in general. 56 Hadamard (1945, pp. 100) already provides a whole chapter on the topic on ―Different Kinds of Mathematical Minds‖. For instance he follows Poincaré‘s distinction between geometrically and algebraically thinking mathematicians as well as distinguishing intuitive and logical mathematicians.

James and Avenarius found specific forms of the workings of intuition in science. These forms were initial simplifications, which in the long run resulted in inconsistencies. Mach proposed that this is a more general psychological phenomenon in science: the process of intuition resulting from an economy of thought. The Machian principle of thought economy is a continuous optimization41 process, constantly requiring adaptation. It is a genetic process. Science is just a specifically refined version of it.

James and Avenarius found specific forms of the workings of intuition in science. These forms were initial simplifications, which in the long run resulted in inconsistencies. Mach proposed that this is a more general psychological phenomenon in science: the process of intuition resulting from an economy of thought. The Machian principle of thought economy is a continuous optimization41 process, constantly requiring adaptation. It is a genetic process. Science is just a specifically refined version of it.

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