Massimo Mugnai's Books

Syllogistic Logic and Mathematical Proof

By: Paolo Mancosu,Massimo Mugnai

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Syllogistic Logic and Mathematical Proof

By: Paolo Mancosu,Massimo Mugnai

Does syllogistic logic have the resources to capture mathematical proof? This volume provides the first unified account of the history of attempts to answer this question, the reasoning behind the different positions taken, and their far-reaching implications. Aristotle had claimed that scientific knowledge, which includes mathematics, is provided by syllogisms of a special sort: 'scientific' ('demonstrative') syllogisms. In ancient Greece and in the Middle Ages, the claim that Euclid's theorems could be recast syllogistically was accepted without further scrutiny. Nevertheless, as early as Galen, the importance of relational reasoning for mathematics had already been recognized. Further critical voices emerged in the Renaissance and the question of whether mathematical proofs could be recast syllogistically attracted more sustained attention over the following three centuries. Supported by more detailed analyses of Euclidean theorems, this led to attempts to extend logical theory to include relational reasoning, and to arguments purporting to reduce relational reasoning to a syllogistic form. Philosophical proposals to the effect that mathematical reasoning is heterogenous with respect to logical proofs were famously defended by Kant, and the implications of the debate about the adequacy of syllogistic logic for mathematics are at the very core of Kant's account of synthetic a priori judgments. While it is now widely accepted that syllogistic logic is not sufficient to account for the logic of mathematical proof, the history and the analysis of this debate, running from Aristotle to de Morgan and beyond, is a fascinating and crucial insight into the relationship between philosophy and mathematics.

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238

Publisher

Oxford University Press

Published Date

ISBN 10

0198876947

ISBN 13

9780198876946

Symbol and Physical Knowledge

On the Conceptual Structure of Physics

By: Massimo Ferrari

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Symbol and Physical Knowledge

On the Conceptual Structure of Physics

By: Massimo Ferrari

Introduces the problem of the symbolic structure of physics, surveys the modern history of symbols, proceeds to an epistemological discussion of the role of symbols in our knowledge of nature, and addresses key issues related to the methodology of physics and the character of its symbolic structures.

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256

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540414673

ISBN 13

9783540414674

Teaching Freedom

Stories of Anti-Fascist Teachers in Italy

By: Massimo Castoldi

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Teaching Freedom

Stories of Anti-Fascist Teachers in Italy

By: Massimo Castoldi

Starting in the early 1900s, male and female elementary schoolteachers in Italy gained increasing awareness of the role of social workers in the fight against illiteracy and in creating civic consciousness based on widespread, qualified education. In 1900, the Unione Magistrale (the Teachers Association) was founded; in 1919, the Sindacato Magistrale (the Italian Teachers Union, a member of the General Confederation of Labor) was created. Inevitably, some of these teachers, firmly convinced of their duty, opposed fascism which, from the moment it originated, aimed at creating obedient boys who were loyal to fascist doctrine and trained in warfare, and girls ready to become the mothers and wives of soldiers. These teachers resisted in the most diverse ways. Some were forced to abandon teaching, a number of them were killed by fascist violence, but others were able to navigate the restrictions imposed on them by the regime. In Teaching Freedom, the author reconstructs twelve biographies of these teachers, based on unpublished material and archive documents, in a form of research suspended between history and pedagogy. The chronological order of the stories retraces the way fascism progressively seized power, suffocating all forms of freedom of expression. Moreover, the study of newly-found documents and various testimonies show the teachers' ceaseless invention of alternative teaching strategies.

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Page Count

191

Publisher

Rowman & Littlefield

Published Date

ISBN 10

1683934210

ISBN 13

9781683934219

Free and Guided Optical Beams

International School of Quantum Electronics, Erice Sicily, Italy, 20-27 November 2002

By: S. Martellucci,Massimo Santarsiero

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Free and Guided Optical Beams

International School of Quantum Electronics, Erice Sicily, Italy, 20-27 November 2002

By: S. Martellucci,Massimo Santarsiero

Optical beams are electromagnetic waves that remain essentially concentrated around a mean axis upon free propagation or that are guided by suitable structures. The study of these beams has existed long ago and since then this field has been a focus of active investigation. However, in recent years, the interest on optical beams has further increased, due to the availability of many types of laser sources, characterized by very different properties, as far as their polarization, coherence, spectral content, and spatial distribution are concerned. This book contains lectures presented in the 35th International School of Quantum Electronics at the Ettore Majorana Centre in Erice, Sicily. It gives the latest coverage on the development and advance in ''''Free and Guided Optical Beams''''. The purpose of these lectures was to give an updated overview, as complete as possible, on topics concerning the propagation of light beams in free space, in materials, and in guiding structures, and to provide the tools needed to its study, both from the theoretical and the application point of view. The lectures presented here are written in extended review-like format. Both introductory fundamental topics and recent research results are reviewed, making this an indispensible book for novice as well as experts in this field. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences.

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Page Count

273

Publisher

World Scientific

Published Date

ISBN 10

9812702539

ISBN 13

9789812702531

The Basic Code of the Universe

The Science of the Invisible in Physics, Medicine, and Spirituality

By: Massimo Citro

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The Basic Code of the Universe

The Science of the Invisible in Physics, Medicine, and Spirituality

By: Massimo Citro

Explains the universal information code connecting every person, plant, animal, and mineral and its applications in science, health care, and cosmic unity • Examines research on consciousness, quantum physics, animal and plant intelligence, emotional fields, Kirlian photography, and the effects of thoughts, emotions, and music on water • Reveals the connections between the work of Ervin Laszlo on the Akashic field, Rupert Sheldrake on morphogenetic fields, Richard Gerber on vibrational medicine, and Masaru Emoto on the memory of water DNA dictates the physical features of an organism. But what dictates how something grows--from the division of cells in a human being to the fractal patterns of a crystal? Massimo Citro reveals that behind the complex world of Nature lies a basic code, a universal information field--also known as the Akashic field, which records all that was, is, and will be--that directs not only physical development and behavior but also energetic communication and interactions among all living and non-living things. The author examines research on consciousness, quantum physics, animal and plant intelligence, the power of intention, emotional fields, Kirlian photography, and the effects of thoughts, emotions, and music on water. Linking the work of Ervin Laszlo on the Akashic field, Rupert Sheldrake on morphogenetic fields, Richard Gerber on vibrational medicine, and Masaru Emoto on the memory of water, Citro shows how the universal information field connects every person, plant, animal, and mineral--a concept long known by shamans and expounded by perennial wisdom. Putting this science of the invisible to practical use, he explains his revolutionary system of vibrational medicine, known as TFF, which uses the information field to obtain the benefits of natural substances and medications in their “pure” informational form, offering side-effect-free remedies for health and well-being.

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Page Count

258

Publisher

Simon and Schuster

Published Date

ISBN 10

1594779503

ISBN 13

9781594779503

"My Muse Will Have a Story to Paint"

Selected Prose of Ludovico Ariosto

By: Lodovico Ariosto,Massimo Ciavolella

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"My Muse Will Have a Story to Paint"

Selected Prose of Ludovico Ariosto

By: Lodovico Ariosto,Massimo Ciavolella

Ariosto's correspondence paints a detailed portrait of the world he lived and wrote in. While some letters illuminate his day-to-day life, including his work as a provincial commissioner for the ruling Este family of Ferrara, others shed light on the composition and production of his poems and plays, allowing a glimpse of the man in his creative workshop. Herbal Doctor, a parody of humanism in general and neoplatonic philosophy in particular, may mark a defense of Ariosto's decision to turn away from the philological world of his contemporaries in order to pursue a different kind of learning.

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Page Count

345

Publisher

University of Toronto Press

Published Date

ISBN 10

1442640871

ISBN 13

9781442640870

Syllogistic Logic and Mathematical Proof

By: Paolo Mancosu,Massimo Mugnai

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Syllogistic Logic and Mathematical Proof

By: Paolo Mancosu,Massimo Mugnai

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Solve jigsaw puzzle

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Page Count

238

Publisher

Oxford University Press

Published Date

ISBN 10

0198876947

ISBN 13

9780198876946

Book's by Massimo Mugnai

Syllogistic Logic and Mathematical Proof

Syllogistic Logic and Mathematical Proof

Symbol and Physical Knowledge

Symbol and Physical Knowledge

Teaching Freedom

Teaching Freedom

Free and Guided Optical Beams

Free and Guided Optical Beams

The Basic Code of the Universe

The Basic Code of the Universe

"My Muse Will Have a Story to Paint"

"My Muse Will Have a Story to Paint"

Syllogistic Logic and Mathematical Proof

Syllogistic Logic and Mathematical Proof

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