A First Course in Logic is an introduction to first-order logic suitable for first and second year mathematicians and computer scientists. There are three components to this course: propositional logic; Boolean algebras; and predicate/first-order, logic. Logic is the basis of proofs in mathematics — how do we know what we say is true? — and also of computer science — how do I know this program will do what I think it will? Surprisingly little mathematics is needed to learn and understand logic (this course doesn't involve any calculus). The real mathematical prerequisite is an ability to manipulate symbols: in other words, basic algebra. Anyone who can write programs should have this ability.
The first eleven chapters of Genesis (Adam, Eve, Noah) are to the twenty-first century what the Virgin Birth was to the nineteenth century: an impossibility. A technical scientific exegesis of Gen 1-11, however, reveals not only the lost rivers of Eden and its location, but the date of the Flood, the length of the Genesis days, and the importance of comets in the creation of the world. These were hidden in the Hebrew text, now illuminated by modern cosmology, archaeology, and biology. The internet-friendly linguistic tools described in this book make it possible to resolve the mysterious "firmament," to decipher the "bird of the air," and to find the dragonflies of chapter 1. Ancient Egyptian, Greek, Norse, Sumerian, and Sanskrit mythology are all found to support this new interpretation of Genesis. Combining science, myth, and the Genesis accounts together paints a vivid picture of the genetic causes and consequences of the greatest Flood of the human race. It also draws attention to the acute peril our present civilization faces as it follows the same path as its long-forgotten, antediluvian ancestors. Discover why Genesis has never been so possible, so relevant as it is today.
The rise in computing and multimedia technology has spawned an increasing interest in the role of diagrams and sketches, not only for the purpose of conveying information but also for creative thinking and problem-solving. This book attempts to characterise the nature of "a science of diagrams" in a wide-ranging, multidisciplinary study that contains accounts of the most recent research results in computer science and psychology. Key topics include: cognitive aspects, formal aspects, and applications. It is a well-written and indispensable survey for researchers and students in the fields of cognitive science, artificial intelligence, human-computer interaction, and graphics and visualisation.
This book constitutes the refereed proceedings of the 14th International Conference on the Theory and Application of Diagrams, Diagrams 2024, held in Münster, Germany, during September 27–October 1, 2024. The 17 full papers, 19 short papers and 11 papers of other types included in this book were carefully reviewed and selected from 69 submissions. They were organized in topical sections as follows: Keynote Talks; Analysis of Diagrams; Euler and Venn Diagrams; Diagrams in Logic; Diagrams and Applications; Diagram Tools; Historical Aspects of Diagrams; and Posters.
Now in its Fourth Edition, Visual Methodologies: An Introduction to Researching with Visual Materials is a bestselling critical guide to the study and analysis of visual culture. Existing chapters have been fully updated to offer a rigorous examination and demonstration of an individual methodology in a clear and structured style. Reflecting changes in the way society consumes and creates its visual content, new features include: Brand new chapters dealing with social media platforms, the development of digital methods and the modern circulation and audiencing of research images More ′Focus′ features covering interactive documentaries, digital story-telling and participant mapping A Companion Website featuring links to useful further resources relating to each chapter. A now classic text, Visual Methodologies appeals to undergraduates, graduates, researchers and academics across the social sciences and humanities who are looking to get to grips with the complex debates and ideas in visual analysis and interpretation.
Lisa Nakamura refers to case studies of popular yet rarely evaluated uses of the Internet, such as pregnancy websites, instant messaging, and online petitions and quizzes, to look at the emergence of race-, ethnic-, and gender-identified visual cultures.
Binocular vision is achieved by five neurovisual systems originating in the retina but varying in their destination within the brain. Two systems have been widely studied: the retino-tectal or retino-collicular route, which subserves an expedient and raw estimate of the visual scene through the magnocellular pathway, and the retino-occipital or retino-cortical route, which allows slower but refined analysis of the visual scene through the parvocellular pathway. But there also exist further neurovisual systems: the retino-hypothalamic, retino-pretectal, and accessory optic systems, which play a crucial role in vision though they are less understood. The retino-pretectal pathway projecting onto the pretectum is critical for the pupillary or photomotor reflex. The retino-hypothalamic pathway projecting onto the suprachiasmatic nucleus regulates numerous behavioral and biological functions as well as circadian rhythms. The accessory optic system targeting terminal lateral, medial and dorsal nuclei through the paraoptic fasciculus plays a role in head and gaze orientation as well as slow movements. Taken together, these neurovisual systems involve 60% of brain activity, thus highlighting the importance of vision in the functioning and regulation of the central nervous system. But vision is first and foremost action, which makes perception impossible without movement. Binocular coordination is a prerequisite for binocular fusion of the object of interest on the two foveas, thus ensuring visual perception. The retino-collicular pathway is sufficient to elicit reflexive eye movements with short latencies. Thanks to its motor neurons, the superior colliculus activates premotor neurons, which themselves activate motor neurons of the oculomotor, trochlear and abducens nuclei. At a higher level, a cascade of neural mechanisms participates in the control of decisional eye movements. The superior colliculus is controlled by the substancia nigra pars reticulata, which is itself gated by subcortical structures such as the dorsal striatum. The superior colliculus is also inhibited by the dorsolateral prefrontal cortex through a direct prefrontotectal tract. Cortical areas are crucial for the triggering of eye movements: the frontal eye field, supplementary eye field, and parietal eye field. Finally the cerebellum maintains accuracy. The focus of the present research topic, entitled Neural bases of binocular vision and coordination and their implications in visual training programs, is to review the most recent findings in brain imaging and neurophysiology of binocular vision and coordination in humans and animals with frontally-placed eyes. The emphasis is put on studies that enable transfer of knowledge toward visual training programs targeting visual field defects (e.g., hemianopia) and binocular functional disorders (e.g., amblyopia).
