Download e-book for kindle: A Calculus of Ideas: A Mathematical Study of Human Thought by Ulf Grenander

By Ulf Grenander

ISBN-10: 981438318X

ISBN-13: 9789814383189

This monograph experiences a proposal test with a mathematical constitution meant to demonstrate the workings of a brain. It provides a mathematical conception of human proposal in line with trend concept with a graph-based method of considering. the strategy illustrated and produced via wide laptop simulations is said to neural networks. established frequently on introspection, it really is speculative instead of empirical such that it differs appreciably in perspective from the normal knowledge of present cognitive technological know-how.

Readership: Graduate scholars in utilized arithmetic, information and cognitive technology in addition to postgraduates and researchers in those fields.

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Additional info for A Calculus of Ideas: A Mathematical Study of Human Thought

Sample text

A mind that deserves to be called intelligent must be able to handle complex ideas, for example the way three simple ideas combine to give rise to a new one. 3.

7: 31 July 2, 2012 9:55 9in x 6in A Calculus of Ideas 2. 8 with the interpretation: “the gardener answers Eduard that the place is new”. 5. 9. Interpretation: “Eduard asks the gardener something”, something = “gardener has seen (someone) earlier”. 10. Interpretation: “Eduard says that Charlotte requires that she waits for him”. The next three figures show slightly more complicated thoughts. 11 with the interpretation: “Eduard follows the gardener who walks away fast”. 11: 33 July 2, 2012 9:55 9in x 6in A Calculus of Ideas 2.

12 A Concept of Concept We shall make the idea of a modality clearer. A concept, a modality M , is an item that can be used as an independent unit: it can connect to primitive thoughts as well as to other modalities as long as regularity is observed. The size of the set M ∈ G can be just 1, but it should be bigger in order to serve as a concept useful for abstract thinking. 4. 4. 4: In this figure, thought1 means that Jim speaks English and Henri speaks French, while thought 2 says that Jim speaks French and Henri English.

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A Calculus of Ideas: A Mathematical Study of Human Thought by Ulf Grenander

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