Mathematics In Nature Space And Time

Author: John Blackwood
Editor: Waldorf Education Resources
ISBN: 9780863158186
Size: 18,67 MB
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An authoritative combined edition of two Steiner-Waldorf math textbooks

Problems In Teaching And Learning Mathematics

Author: R. Yasoda
Editor: Discovery Publishing House
ISBN: 9788183563789
Size: 16,85 MB
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Time Space And Number In Physics And Psychology Psychology Revivals

Author: William R. Uttal
Editor: Psychology Press
ISBN: 1317557530
Size: 17,32 MB
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The crux of the debate between proponents of behavioral psychology and cognitive psychology focuses on the issue of accessibility. Cognitivists believe that mental mechanisms and processes are accessible, and that their inner workings can be inferred from experimental observations of behavior. Behaviorists, on the contrary, believe that mental processes and mechanisms are inaccessible, and that nothing important about them can be inferred from even the most cleverly designed empirical studies. One argument that is repeatedly raised by cognitivists is that even though mental processes are not directly accessible, this should not be a barrier to unravelling the nature of the inner mental processes and mechanisms. Inference works for other sciences, such as physics, so why not psychology? If physics can work so successfully with their kind of inaccessibility to make enormous theoretical progress, then why not psychology? As with most previous psychological debates, there is no "killer argument" that can provide an unambiguous resolution. In its absence, author William Uttal explores the differing properties of physical and psychological time, space, and mathematics before coming to the conclusion that there are major discrepancies between the properties of the respective subject matters that make the analogy of comparable inaccessibilities a false one. This title was first published in 2008.

Nature Science And Sustainable Technology

Author: Rafiqul Islam
Editor: Nova Publishers
ISBN: 9781604560091
Size: 15,86 MB
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Nature thrives on diversity and flexibility, gaining strength from heterogeneity, whereas the quest for homogeneity seems to motivate much of modern engineering. Nature is non-linear and inherently promotes multiplicity of solutions. This book presents research on true sustainability and technology development.

Philosophy Of Science Logic And Mathematics In The Twentieth Century

Author: Stuart G. Shanker
Editor: Psychology Press
ISBN: 9780415308816
Size: 19,90 MB
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Contents - Introduction. 1. Philosophy of logic 2. Philosophy of mathematics in the 20th century. 3. Frege 4. Wittgenstein's Tractatus 5. Logical postivism 6. The philosophy of physics 7. The philosophy of science 8. Chance, cause and conduct; probability

Treatise On The Art Of Reasoning With A Preliminary Chapter On Human Knowledge And A Concluding One On The Subject Of Morals

Author: George Moore
Editor:
ISBN:
Size: 18,48 MB
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Symmetry As A Developmental Principle In Nature And Art

Author: Werner Hahn
Editor: World Scientific
ISBN: 9810223633
Size: 17,20 MB
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Looking beyond the boundaries of various disciplines, the author demonstrates that symmetry is a fascinating phenomenon which provides endless stimulation and challenges. He explains that it is possible to readapt art to the sciences, and vice versa, by means of an evolutionary concept of symmetry. Many pictorial examples are included to enable the reader to fully understand the issues discussed. Based on the artistic evidence that the author has collected, he proposes that the new ars evolutoria can function as an example for the sciences.The book is divided into three distinct parts, each one focusing on a special issue. In Part I, the phenomenon of symmetry, including its discovery and meaning is reviewed. The author looks closely at how Vitruvius, Polyclitus, Democritus, Plato, Aristotle, Plotinus, Augustine, Alberti, Leonardo da Vinci and Durer viewed symmetry. This is followed by an explanation on how the concept of symmetry developed. The author further discusses symmetry as it appears in art and science, as well as in the modern age. Later, he expounds the view of symmetry as an evolutionary concept which can lead to a new unity of science. In Part II, he covers the points of contact between the form-developing process in nature and art. He deals with biological questions, in particular evolution.The collection of new and precise data on perception and knowledge with regard to the postulated reality of symmetry leads to further development of the evolutionary theory of symmetry in Part III. The author traces the enormous treasure of observations made in nature and culture back to a few underlying structural principles. He demonstrates symmetry as a far-reaching, leading, structuring, causal element of evolution, as the idea lying behind nature and culture. Numerous controllable reproducible double-mirror experiments on a new stereoscopic vision verify a symmetrization theory of perception.

Continuity And Change In The Development Of Russell S Philosophy

Author: P.J. Hager
Editor: Springer Science & Business Media
ISBN: 9401108447
Size: 19,37 MB
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The general view of Russell's work amongst philosophers has been that repeat edly, during his long and distinguished career, crucial changes of mind on fun damental points were significant enough to cause him to successively adopt a diversity of radically new philosophical positions. Thus Russell is seen to have embraced and then abandoned, amongst others, neo-Hegelianism, Platonic re alism, phenomenalism and logical atomism, before settling finally on a form of neutral monism that philosophers have generally found to be incredible. This view of Russell is captured in C. D. Broad's famous remark that "Mr. Russell pro duces a different system of philosophy every few years . . . " (Muirhead, 1924: 79). Reflecting this picture of Russell continually changing his position, books and papers on Russell's philosophy have typically belonged to one of two kinds. Either they have concentrated on particular periods of his thought that are taken to be especially significant, or, accepting the view of his successive conversion to dis tinctly different philosophical positions, they have provided some account of each of these supposedly disconnected periods of his thought. While much good work has been done on Russell's philosophy, this framework has had its limitations, the main one being that it conceals the basic continuity behind his thought.

On The Nature And Passage Of Time And 4 D Geometry

Author: Samuel K.K. Blankson
Editor: Lulu.com
ISBN: 1471682080
Size: 15,77 MB
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PAPERBACK: In his 10th book on post-relativity philosophy of time, the Ghanaian philosopher argues that all the theories we read about time are useful only for constructing clocks to accord accurately with the earth's regular motions and astronomical features. The many bemusing technical terms employed (like duration between events, sidereal time, solar time, nutation, equinox, earth's rotation, the precession of the equinoxes etc.), were all invented to account for fixed, general and absolute time, running all through the cosmos and the same everywhere. This view of time, however, was abolished by Einstein. He adds that everything we have ever used to reckon time (including atomic time) amounts to mere physical cycles, pulses or oscillations that we count as the units of time---the years, for instance---but they are passing. He has also uncovered Einstein's undoubted snub to 4-D geometry.

The Nature And Growth Of Modern Mathematics

Author: Edna Ernestine Kramer
Editor: Princeton University Press
ISBN: 9780691023724
Size: 20,44 MB
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Now available in a one-volume paperback, this book traces the development of the most important mathematical concepts, giving special attention to the lives and thoughts of such mathematical innovators as Pythagoras, Newton, Poincare, and Godel. Beginning with a Sumerian short story--ultimately linked to modern digital computers--the author clearly introduces concepts of binary operations; point-set topology; the nature of post-relativity geometries; optimization and decision processes; ergodic theorems; epsilon-delta arithmetization; integral equations; the beautiful "ideals" of Dedekind and Emmy Noether; and the importance of "purifying" mathematics. Organizing her material in a conceptual rather than a chronological manner, she integrates the traditional with the modern, enlivening her discussions with historical and biographical detail.