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History of mathematics' didactic
What is the mental representation?
Matematical mental representation
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Cognitive and emotional interactions

Lacan, in a summary, shows reality as composed of three fields:

imaginary, symbolic and real.

 

The imaginary, as the word itself shows, is related to images, to those personal and unique images which were printed in us in the dual relationship we have with our mothers, in particular. Those images are related to emotions. An emotion is something which affects our physiology. That is already something which is halfway between the psyche and the body.

The symbolic is all that our culture printed in us as a "third party". It is for example our language, which we haven't chosen but which is a link between us and the others, it is also reasoning (logic) which we have in common with the other human beings, it is the world of the signs, codes and laws which give human groups a structure.

'Cognitive' is a word used in a more or less broad sense. It can refer to computation processes using logical thinking, as well as to any process concerning knowledge.

It will here be used in the narrower sense, meaning a rational process. The cognitive therefore belongs to the symbolical.

Lacan finally adds the real -- different from reality -- which is all that is unbearable, impossible to represent, which can neither be put into images nor into symbols, nor expressed through words, it is a leftover.

 

Cognitive and emotional interactions are then halfway between the imaginary and the symbolic,

they are situated in mixed elements like:

- representations (good/bad maths),

- symptoms (at the beginning of the year I always start with a migraine),

- metaphors (I'm fed up with marking papers).

 

HOME PAGE
History of mathematics' didactic
What is the mental representation?
Matematical mental representation
Recording interview: René Thom, Dominique, Rosine...
Write to me
Author