IST4_lec15

IST4_lec15 - IST 4 Information and Logic IST 4: Planned...

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IST 4 Information and Logic
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1 M1 31 6 2 6 5 26 19 M2 5 4 12 4 5 3 M2 28 3 2 21 2 1 14 M1 7 fri thr wed tue mon IST 4: Planned Schedule – Spring 2008 x= hw#x out x= hw#x due = today T Mx= MQx out Mx= MQx due T
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Santiago Ramón y Cajal 1852 -1934 Nobel Prize in Physiology or Medicine in 1906 (joint with Golgi) Biologically Inspired Functional Gates
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Santiago Ramón y Cajal 1852 -1934 - a neuron is a discrete functional unit of the nervous system - neurons communicate with each other via specialized junctions, or spaces, between cells – neural circuit The Brain is a Neural Circuit
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Neuron – Neural Logic Gate Linear Threshold (LT) gate
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A L inear T hreshold gate is functionally complete: Can compute AND, OR and NOT
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Can We Compute an AND Function with an LT Gate? -2 1 1 0 0 0 1 1 0 1 1 -2 -1 -1 0 0 0 0 1
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Can We Compute an OR Function with an LT Gate? -1 1 1 0 0 0 1 1 0 1 1 -1 0 0 1 0 1 1 1
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Can We Compute a NOT with an LT Gate? 1 -2
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A L inear T hreshold gate is functionally complete: Can compute AND, OR and NOT When did the study of neural circuits in the context of logic begin?
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Being Homeless and Interdisciplinary Research Computing with neural circuits: a connection between logic and neural networks, 1943 Warren McCulloch 1899 - 1969 Walter Pitts 1923 - 1969 Neurophysiologist, MD Warren McCulloch arrived in early 1942 to the University of Chicago, invited Pitts, who was still homeless, to live with his family In the evenings McCulloch and Pitts collaborated. Pitts was familiar with the work of Gottfried Leibniz on computing and they considered the question of whether the nervous system could be considered a kind of universal computing device as described by Leibniz This led to their 1943 seminal neural networks paper: A Logical Calculus of Ideas Immanent in Nervous Activity Logician, Autodidact
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Correctness vs Impact Warren McCulloch 1899 - 1969 Walter Pitts 1923 - 1969 Neurophysiologist, MD Logician, Autodidact Professor of logic at Yale 1908-1987
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Warren McCulloch 1899 - 1969 Walter Pitts 1923 - 1969 Neurophysiologist, MD This led to their 1943 seminal neural networks paper:
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This note was uploaded on 12/12/2009 for the course IST 4 taught by Professor Shuki during the Spring '09 term at Caltech.

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IST4_lec15 - IST 4 Information and Logic IST 4: Planned...

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