Download PDF by Jaime Gómez-Ramirez: A New Foundation for Representation in Cognitive and Brain

By Jaime Gómez-Ramirez

ISBN-10: 940077737X

ISBN-13: 9789400777378

ISBN-10: 9400777388

ISBN-13: 9789400777385

The objective of the e-book is to develop within the realizing of mind functionality via defining a normal framework for illustration in accordance with type thought. the assumption is to deliver this mathematical formalism into the area of neural illustration of actual areas, environment the foundation for a concept of psychological illustration, in a position to relate empirical findings, uniting them right into a sound theoretical corpus.

The cutting edge technique provided within the publication offers a horizon of interdisciplinary collaboration that goals to establish a typical time table that synthesizes mathematical formalization and empirical systems in a systemic means. class thought has been effectively utilized to qualitative research, often in theoretical laptop technology to house programming language semantics. however, the possibility of class theoretic instruments for quantitative research of networks has now not been tackled to date. Statistical the way to examine graph constitution ordinarily depend upon community parameters. classification thought will be visible as an abstraction of graph thought. hence, new express homes could be further into community research and graph theoretic constructs will be therefore prolonged in additional primary foundation. through generalizing networks utilizing classification conception we will be able to handle questions and complicated solutions in a extra primary approach with out waiving graph theoretic instruments. The very important factor is to set up a brand new framework for quantitative research of networks utilizing the speculation of different types, during which computational neuroscientists and community theorists may possibly take on in additional effective methods the dynamics of mind cognitive networks.

The meant viewers of the e-book is researchers who desire to discover the validity of mathematical ideas within the knowing of cognitive structures. the entire actors in cognitive technological know-how: philosophers, engineers, neurobiologists, cognitive psychologists, desktop scientists and so forth. are resembling observe alongside its pages new unexpected connections in the course of the improvement of ideas and formal theories defined within the e-book. Practitioners of either natural and utilized arithmetic e.g., community theorists, may be extremely joyful with the mapping of summary mathematical options within the terra incognita of cognition.

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Extra info for A New Foundation for Representation in Cognitive and Brain Science: Category Theory and the Hippocampus

Example text

Indeed, biology textbooks abound with accurate descriptions of thousands of molecules, organelles and cells. In contrast, the same books give little account for the laws or general principles that govern the interactions between those molecules, organelles or cells. Mendel’s law of inheritance is one, if not the only law, expressed in formal terms in biology. It ought to be noted that Mendel law is not universal but general, because it only applies to eukaryotic and sexuate organisms. This rarity of universal laws in biology marks a clear distinction with physics and poses questions that need to be taken into account.

The I-F models, compared to the biophysical models discussed in Sect. 1, have less parameters, which make them inadequate to predict, for example, how the neuron’s behavior is affected by changes in the extracellular temperature or how it reacts to pharmacological manipulations [67]. While I-F models seem to be more efficient for investigating collective phenomena in neuronal networks [68], the biophysical models are more accurate in describing real single neurons [69]. However, the Achilles’ heels of biophysical models is that we still lack a systemic methodology for measuring a large number of parameters.

2. Thus, certain processes in the very small in brains may need a quantum mechanical interpretation, but most processes appear to exist at the classical, Newtonian level. There is also the feature that the structures in brains are not only larger than those needing a quantum mechanical description but are mostly completely known, at least in outline. Nerve cells have been known since the end of the nineteenth century. Ramon y Cajal, using a histological approach based on observations of stained cell structures, proved the discrete nature of the nervous system, that is, nerve cells, later called neurons, are separate entities that connect between them through axons.

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A New Foundation for Representation in Cognitive and Brain Science: Category Theory and the Hippocampus by Jaime Gómez-Ramirez

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