Geometric Cognition

Geometric models for memories

By creating a computer program that turns sequences of events from a video into unique…

What Does It Mean That “Space Can Be Transcendental Without the Axioms Being So”?

In her 2013 study, Francesca Biagioli examines Helmholtz’s claim that space can be transcendental without…

Pure geometry and geometric cognition

Pure geometry’s cognitive foundation is mostly unknown. Even the ‘simpler’ question of what kind of…

How quantifying the shape of stories predicts their success

Narratives, and other types of speech, can be used to enlighten, entertain, and make sense…

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.…

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…