Geometric Cognition

“Geometric cognition” and “cognitive geometry” are related but distinct concepts. Geometric cognition refers to the cognitive processes involved in understanding and reasoning about spatial relationships and geometric concepts, often studied in the context of how humans perceive, represent, and interact with spatial information. Cognitive geometry, on the other hand, explores how geometric principles can be applied to model and understand cognitive processes themselves, particularly in areas like spatial navigation, decision-making, and problem-solving.

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…