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Your search for: euclidean AND axioms

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Books: 1,481

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Journal Articles: 47

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Magazine Articles: 4

Newspaper Articles: 1

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Encyclopedia Articles: 4

Research Topics on: euclidean axioms

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Euclid

Books on: euclidean axioms

1,481 results - MORE BOOK RESULTS: 1-10 11-20 21-30 31-40 41-50 >>

1.

Mathematics: A Cultural Approach

Book by Morris Kline; Addison-Wesley Pub. Co., 1962

Subjects:

Mathematics

Collections: Entire Library

...4-5 The axioms concerning numbers...NATURE AND USES OF EUCLIDEAN GEOMETRY...creation of non-Euclidean geometry by Gauss...geometries based on axioms which differ from...history of non-Euclidean geometry was that...may start with axioms that seem to have...
2.

Philosophy of Science: The Link between Science and Philosophy

Book by Philipp Frank; Prentice-Hall, 1957

Subjects:

Science--Philosophy

Collections: Philosophy, Entire Library

...4. "Axioms" and "Theorems...5. The Euclidean Axiom of Parallels...6. Non-Euclidean Geometry...Formalization" of the Axioms , 72...discussions about the axioms and methods of science...Copernican system, from Euclidean to non-Euclidean...
3.

Godel's Proof

Book by Ernest Nagel, James R. Newman; Routledge, 1989

Collections: Entire Library

In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system ...
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In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system and had radical implications that have echoed throughout many fields. A gripping combination of science and accessibility, Godelâ¬"s Proof by Nagel and Newman is for both mathematicians and the idly curious, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity.
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4.

Kant and the Foundations of Analytic Philosophy

Book by Robert Hanna; Oxford University Press, 2001

Subjects:

Analysis (Philosophy), Kant, Immanuel--1724-1804--Influence

Collections: Philosophy, Entire Library

...speculative metaphysics; non- Euclidean geometry and Einsteins theory...a set of arbitrarily chosen axioms or postulates for a given formal...Kants doc- trine from non-Euclidean geometry. Finally, in the Concluding...the Analytic of Principles (Axioms of Intuition, Anticipations...
5.

The Idealistic Reaction against Science

Book by Professor Aliotta, Agnes McCaskill; Macmillan and Co., Limited, 1914

Subjects:

Idealism, Science--Philosophy

Collections: Philosophy, Entire Library

...CHAPTER I NON-EUCLIDEAN GEOMETRY Traditional geometry and the...Impossibihty of an experimental proof of Euclidean geometry: Stallo, Poincare, Couturat--Euclidean geometry more rationally complete than...

MORE BOOK RESULTS: 1-10 11-20 21-30 31-40 41-50 >>

Journal Articles on: euclidean axioms

47 results - MORE JOURNAL RESULTS: 1-10 11-20 21-30 31-40 41-47

1.

Bankruptcy's Uncontested Axioms

Journal article by Douglas G. Baird; Yale Law Journal, Vol. 108, 1998

Subjects:

Bankruptcy law--Philosophy, Empiricism--Usage, Jurisprudence--Analysis

Collections: Philosophy, Entire Library

...to postulates in geometry. Euclidean geometry is based on the...true than the other. All axioms in mathematics have this...however, to assume that axioms are incontestable, even in mathematics. Axioms can be more or less interesting...
2.

The Structure of Frontoparallel Haptic Space Is Task Dependent

Journal article by Frouke Hermens, Astrid M. L Kappers, Stan C. A M Gielen; Perception and Psychophysics, Vol. 68, 2006

Subjects:

Euclidean space, Experimental psychology, Sensory perception, Visual task performance

Collections: Psychology, Entire Library

...van Doom, Kappers, Lappin, 2002), and direct testing of axioms (Koenderink, van Doom, Kappers, Todd, 2002; Todd, Oomes...quantitatively compared experimental data and predictions based on a Euclidean geometry or a Riemannian geometry with a positive or negative...
3.

Poincare, Kant, and the Scope of Mathematical Intuition

Journal article by Terry F. Godlove Jr.; The Review of Metaphysics, Vol. 62, 2009

Subjects:

Intuition--Analysis, Kant, Immanuel--Criticism and interpretation, Kant, Immanuel--Works, Mathematicians--Criticism and interpretation, Mathematicians--Works, Philosophers--Criticism and interpretation, Philosophers--Works, Poincare, Jules Henri--Criticism and interpretation, Poincare, Jules Henri--Works

Collections: Philosophy, Entire Library

...intuit the self-evidence of the axioms of Euclidean geometry. (19) Recently, however...neither claim appears to rely on Euclidean axioms or to deliver any Euclidean...that requires conformity to Euclidean axioms or that guarantees Euclidean...
4.

Applying the Laws of Logic to the Logic of Law

Journal article by Hillel Bavli; Fordham Urban Law Journal, Vol. 33, 2006

Subjects:

Legal formalism--Laws, regulations and rules, Logic--Usage

Collections: Entire Library

...geometry deduced from five simple axioms (e.g., a straight line segment can be drawn joining any two points). (15) The Euclidean axioms were presumed to be true statements about space. Thus, insofar as theorems were deduced from such axioms, the possibility...
5.

A Parallel between Visual and Haptic Perception of Size at a Distance

Journal article; Ecological Psychology, Vol. 8, 1996

Subjects:

Environmental Psychology--Periodicals

Collections: Psychology, Entire Library

...the observer, contrary to the axioms of Euclidean geometry ( Norman , Todd...frontoparallel extents does not satisfy Euclidean axioms (as noted in the opening remarks...geometric transformation of Euclidean space (e.g., Wagner, 1985...

MORE JOURNAL RESULTS: 1-10 11-20 21-30 31-40 41-47

Magazine Articles on: euclidean axioms

4 results

1.

Developing Geometric Thinking through Activities That Begin with Play

Magazine article by Pierre M. Van Hiele; Teaching Children Mathematics, Vol. 5, February 1999

Subjects:

Children--Education, Geometry, Non-Euclidean--Tests, problems and exercises, Geometry--Study and teaching, Mosaics--Usage, Non-Euclidean geometry--Tests, problems and exercises, School children--Education, Students--Education

Collections: Education, Entire Library

...2000 years ago. His logical construction of geometry with its axioms, definitions, theorems, and proofs was for its time - an admirable...level, the intrinsic meaning of deduction, that is, the role of axioms, definitions, theorems, and their converses, is not understood...
2.

The Book of Numbers

Magazine article by Fernando Q. Gouvea; First Things: A Monthly Journal of Religion and Public Life, February 2009

Subjects:

Book publishing--Statistics, Books--Statistics, Simon & Schuster Inc.

Collections: Religious Studies, Entire Library

...mathematics is a game: Choose your axioms and follow the rules to prove...statistics, the birth of non-Euclidean geometry, and the debate about...effectiveness. The story of non-Euclidean geometry has the element of...geometries from different sets of axioms raised the deeper question...
3.

Notes & Comments: February 2002

Magazine article; New Criterion, Vol. 20, February 2002

Subjects:

Blacks--Study and teaching, Harvard University--Curricula, West, Cornel--Conduct of life

Collections: Entire Library

...Hannah Arendt observed, facts and events are infinitely more fragile things than axioms, discoveries, theories.... Perhaps the chances that Euclidean mathematics or Einsteins...
4.

The Division of the World

Magazine article by James B. Miller; World and I, Vol. 15, November 2000

Subjects:

Barth, Karl--Beliefs, opinions and attitudes, Comte, Auguste--Beliefs, opinions and attitudes, Copernicus, Nicolaus--Research, Descartes, Rene--Beliefs, opinions and attitudes, Galileo--Research, Kant, Immanuel--Beliefs, opinions and attitudes, Kierkegaard, Soren--Beliefs, opinions and attitudes, Modern philosophy--18th century AD, Modernism--Analysis, Philosophy, Modern--18th century AD, Positivism--Beliefs, opinions and attitudes, Religion and science--Beliefs, opinions and attitudes

Collections: Religious Studies, Philosophy, Entire Library

...mathematical logic. For Descartes, mathematical logic was the standard against which he measured the exercise of reason. For Kant, Euclidean geometry, Aristotelian logic, and Newtons mathematical cosmology were standards of pure reason. The fifth feature is a fundamentally...

Newspaper Articles on: euclidean axioms

1 results

1.

Animated Angle to Geometry Study

Newspaper article; The Washington Times, February 9, 2003

Collections: Religious Studies, Philosophy, History, Education, Literature, Psychology, Entire Library

...The father of geometry, Euclid, spent his days coming up with axioms and postulates destined to forever frustrate the modern high...Web designer and trainer) with anyone who is interested in Euclidean geometry. I am happy to encourage people to enjoy geometry...

Encyclopedia Articles on: euclidean axioms

4 results

1.

Geometry

Encyclopedia article; The Columbia Encyclopedia, Sixth Edition, 2009

Collections: Religious Studies, Philosophy, History, Education, Literature, Psychology, Entire Library

...transformations. For example, Euclidean geometry is the study of properties...stated without proof certain axioms and postulates about them that...The close examination of the axioms and postulates of Euclidean geometry during the 19th cent...
2.

Mathematics

Encyclopedia article; The Columbia Encyclopedia, Sixth Edition, 2009

Collections: Religious Studies, Philosophy, History, Education, Literature, Psychology, Entire Library

...task is to furnish a set of axioms effectively free of contradictions...in the province of geometry. Euclidean geometry is concerned with...parallel postulate" from the other axioms of Euclid led in the 19th cent...two different types of non-Euclidean geometry . The 20th cent...
3.

Axiom

Encyclopedia article; The Columbia Encyclopedia, Sixth Edition, 2009

Collections: Religious Studies, Philosophy, History, Education, Literature, Psychology, Entire Library

...Historically, the development of non-Euclidean geometry grew out of attempts to prove...the parallel postulate of Euclid.) The axioms should also be consistent; i.e., it should...mentioned in connection with a set of axioms; if the set is complete, then any true...
4.

Topology

Encyclopedia article; The Columbia Encyclopedia, Sixth Edition, 2009

Collections: Religious Studies, Philosophy, History, Education, Literature, Psychology, Entire Library

...Different types of topological spaces are defined according to axioms satisfied by the sets of points that constitute the space...spaces, manifolds, are those which are locally equivalent to the Euclidean space of the same dimension. The fundamental problem of classifying...

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