Infinity at stake - Antonio León - Antonio León Sánchez

Autor: Antonio León
Estado: Público
N° de páginas: 164
Tamaño: 170x235
Interior: Blanco y negro
Maquetación: Pegado

Descargas: 207

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Although the discrete nature of spacetime have already been proposed in different areas of physics it surprises the little attention we usually pay to the fact that the assumed continuity of spacetime is founded on the actual infinity hypothesis. This foundation makes the consistency of any continuum depends on the consistency of the actual infinity hypothesis: if the actual infinity were inconsistent all continuums would also be inconsistent. It is in this sense that the actual infinity hypothesis could be the key to solve the dilemma on the digital or analog nature of reality. This book is a collection of arguments against the actual infinity hypothesis. It also includes some reflections on the conflicts between the continuum-mathematics and physical reality.

Clasificado como: Ciencias naturales › Matemáticas
Palabras clave: set theory, continuum, paradox, inconsistency, actual infinity

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