Geometric Cognition

Since geometry is the measurement of matter and cognition deals with how we acquire knowledge about said matter, geometric cognition can be understood as the processing of the symbols and metaphors, our mind creates for that matter: conscious and unconscious processes that rely on geometric models, to accumulate experience and knowledge, through perceiving, recognizing, conceiving, and reasoning of data in the framework of a cognitive geometry.

The human quest for discovering mathematical beauty in the arts

“The human function is to ‘discover or observe’ mathematics,” said twentieth-century British mathematician G. H.…

Einstein, geometry, and experience

As far as the propositions of mathematics refer to reality, they are not certain; and…

Did Humans Invent Mathematics, or Is It a Fundamental Part of Existence?

“God made the integers, all else is man’s work,” stated German mathematician Leopold Kronecker in…

A language of thought for the mental representation of geometric shapes

Why do geometric shapes such as lines, circles, zig-zags, or spirals appear in all human…

Intuitions of geometry: a signature of human singularity

Humans are unique among primates in their capacity to construct and control very complex systems…

Complex thoughts are enabled by fractal networks

Fractals are forms that seem similar at different sizes in the area of geometry. Shapes…

Fractal patterns preferred by children under three years

Natural surroundings have fractal patterns that recur at various size scales, and they are also…

Neurons use fractal networks for better connectivity

Many of nature’s fractal objects benefit from the favorable functionality that comes from pattern repetition at various…

Mathematical skills improved by tri-dimensional thinking

In 2019, a nationwide study on fundamental skills in Switzerland discovered a link between children’s spatial…

Using hyperbolic geometry to map the olfactory space

In the natural environment, the sense of smell, or olfaction, is used to identify contaminants…