The Euclidean Programme
Download The Euclidean Programme full books in PDF, epub, and Kindle. Read online free The Euclidean Programme ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads.
Author |
: A. C. Paseau |
Publisher |
: Cambridge University Press |
Total Pages |
: 82 |
Release |
: 2024-02-14 |
ISBN-10 |
: 9781009221979 |
ISBN-13 |
: 1009221973 |
Rating |
: 4/5 (79 Downloads) |
Synopsis The Euclidean Programme by : A. C. Paseau
The Euclidean Programme embodies a traditional sort of epistemological foundationalism, according to which knowledge – especially mathematical knowledge – is obtained by deduction from self-evident axioms or first principles. Epistemologists have examined foundationalism extensively, but neglected its historically dominant Euclidean form. By contrast, this book offers a detailed examination of Euclidean foundationalism, which, following Lakatos, the authors call the Euclidean Programme. The book rationally reconstructs the programme's key principles, showing it to be an epistemological interpretation of the axiomatic method. It then compares the reconstructed programme with select historical sources: Euclid's Elements, Aristotle's Posterior Analytics, Descartes's Discourse on Method, Pascal's On the Geometric Mind and a twentieth-century account of axiomatisation. The second half of the book philosophically assesses the programme, exploring whether various areas of contemporary mathematics conform to it. The book concludes by outlining a replacement for the Euclidean Programme.
Author |
: Imre Lakatos |
Publisher |
: Cambridge University Press |
Total Pages |
: 190 |
Release |
: 1976 |
ISBN-10 |
: 0521290384 |
ISBN-13 |
: 9780521290388 |
Rating |
: 4/5 (84 Downloads) |
Synopsis Proofs and Refutations by : Imre Lakatos
Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics.
Author |
: British Academy |
Publisher |
: Oxford University Press |
Total Pages |
: 278 |
Release |
: 2006-03-09 |
ISBN-10 |
: 0197263461 |
ISBN-13 |
: 9780197263464 |
Rating |
: 4/5 (61 Downloads) |
Synopsis The Arguments of Time by : British Academy
These nine essays, commissioned on the initiative of the Philosophy section of the British Academy, address fundamental questions about time in philosophy, physics, linguistics, and psychology. Are there facts about the future? Could we affect the past? In physics, general relativity and quantum theory give contradictory treatments of time. So in the current search for a theory of quantum gravity, which should give way: general relativity or quantum theory? In linguistics and psychology, how does our language represent time, and how do our minds keep track of it?
Author |
: Murray Code |
Publisher |
: SUNY Press |
Total Pages |
: 280 |
Release |
: 1985-01-01 |
ISBN-10 |
: 0873959515 |
ISBN-13 |
: 9780873959513 |
Rating |
: 4/5 (15 Downloads) |
Synopsis Order and Organism by : Murray Code
What is now needed is a way of thinking about the physical that is realistic in outlook but which departs radically from the mechanistic post-Galilean tradition. Since it seems clear that we can no longer take for granted the certainty and absolute objectivity of scientific knowledge, any alternative view must be able to do full justice to subjective modes of knowing. Order and Organism shows how Alfred North Whitehead's thought can reconcile some of the most insistent demands of common sense with the esoteric results of modern physics and mathematics. Whitehead shows a way to resolve the perennial puzzle of why mathematics works. Under his view, it is possible to account for the necessity and uniqueness of mathematical theories without denying the fact that such theories often arise from the mathematician's essentially aesthetic interest in various kinds of pattern.
Author |
: Bharath Sriraman |
Publisher |
: Springer Nature |
Total Pages |
: 3221 |
Release |
: |
ISBN-10 |
: 9783031408465 |
ISBN-13 |
: 3031408462 |
Rating |
: 4/5 (65 Downloads) |
Synopsis Handbook of the History and Philosophy of Mathematical Practice by : Bharath Sriraman
Author |
: Imre Lakatos |
Publisher |
: Cambridge University Press |
Total Pages |
: 302 |
Release |
: 1980-10-16 |
ISBN-10 |
: 0521280303 |
ISBN-13 |
: 9780521280303 |
Rating |
: 4/5 (03 Downloads) |
Synopsis Mathematics, Science and Epistemology: Volume 2, Philosophical Papers by : Imre Lakatos
Volume I brings together his very influential but scattered papers on the philosophy of the physical sciences, and includes one important unpublished essay on the effect of Newton's scientific achievement. Volume 2 presents his work on the philosophy of mathematics together with some critical essays on contemporary philosophers of science.
Author |
: György Kampis |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 388 |
Release |
: 2013-06-29 |
ISBN-10 |
: 9789401707695 |
ISBN-13 |
: 9401707693 |
Rating |
: 4/5 (95 Downloads) |
Synopsis Appraising Lakatos by : György Kampis
Imre Lakatos (1922-1974) was one of the protagonists in shaping the "new philosophy of science". More than 25 years after his untimely death, it is time for a critical re-evaluation of his ideas. His main theme of locating rationality within the scientific process appears even more compelling today, after many historical case studies have revealed the cultural and societal elements within scientific practices. Recently there has been, above all, an increasing interest in Lakatos' philosophy of mathematics, which emphasises heuristics and mathematical practice over logical justification. But suitable modifications of his approach are called for in order to make it applicable to modern axiomatised theories. Pioneering historical research in England and Hungary has unearthed hitherto unknown facts about Lakatos' personal life, his wartime activities and his involvement in the political developments of post-war Europe. From a communist activist committed to Györgyi Lukács' thinking, Lakatos developed into a staunch anti-Marxist who found his intellectual background in Popper's critical rationalism. The volume also publishes for the first time a part of his Debrecen Ph.D. thesis and it is concluded by a bibliography of his Hungarian writings.
Author |
: Keir Finlow-Bates |
Publisher |
: Lulu.com |
Total Pages |
: 202 |
Release |
: 2009-10 |
ISBN-10 |
: 9789529262922 |
ISBN-13 |
: 9529262922 |
Rating |
: 4/5 (22 Downloads) |
Synopsis Investigating Notions of Proof by : Keir Finlow-Bates
Although proof is seen by most mathematicians as lying at the heart of mathematics, it is rarely explicitly taught at any point in the mathematics curriculum. This is compounded by the fact that within the mathematics and education communities there is no clear definition of or consensus on what actually constitutes proof. In this book a fallibilist approach based on the work of Imre Lakatos is adopted, and proof and proving are set within the context of a form of social knowledge in order to gain insight into the proof-activities of degree level mathematics students.
Author |
: Peter Widmayer |
Publisher |
: Springer |
Total Pages |
: 1089 |
Release |
: 2003-08-03 |
ISBN-10 |
: 9783540454656 |
ISBN-13 |
: 3540454659 |
Rating |
: 4/5 (56 Downloads) |
Synopsis Automata, Languages and Programming by : Peter Widmayer
This book constitutes the refereed proceedings of the 29th International Colloquium on Automata, Languages and Programming, ICALP 2002, held in Malaga, Spain, in July 2002.The 83 revised full papers presented together with 7 invited papers were carefully reviewed and selected from a total of 269 submissions. All current aspects of theoretical computer science are addressed and major new results are presented.
Author |
: Elmer G. Rees |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 119 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9783642617775 |
ISBN-13 |
: 3642617778 |
Rating |
: 4/5 (75 Downloads) |
Synopsis Notes on Geometry by : Elmer G. Rees
In recent years, geometry has played a lesser role in undergraduate courses than it has ever done. Nevertheless, it still plays a leading role in mathematics at a higher level. Its central role in the history of mathematics has never been disputed. It is important, therefore, to introduce some geometry into university syllabuses. There are several ways of doing this, it can be incorporated into existing courses that are primarily devoted to other topics, it can be taught at a first year level or it can be taught in higher level courses devoted to differential geometry or to more classical topics. These notes are intended to fill a rather obvious gap in the literature. It treats the classical topics of Euclidean, projective and hyperbolic geometry but uses the material commonly taught to undergraduates: linear algebra, group theory, metric spaces and complex analysis. The notes are based on a course whose aim was two fold, firstly, to introduce the students to some geometry and secondly to deepen their understanding of topics that they have already met. What is required from the earlier material is a familiarity with the main ideas, specific topics that are used are usually redone.