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1. JSTOR Die Pythagoreer Religiose Bruderschaft Und Schule Der
According to it, the three sciences geome try, harmonics, and astronomy ought to be based on axioms or Hypotheses. The axioms of geometry were justified by
http://links.jstor.org/sici?sici=0021-1753(198203)73:1<133:DPRBUS>2.0.CO;2-F

2. An Overview Of Automated Theorem Proving
All of these are tasks that can be performed by an ATP system, given an appropriate formulation of the problem as axioms, Hypotheses, and a conjecture.
http://www.cs.miami.edu/~tptp/OverviewOfATP.html

3. On The Nature Of Hypothesis
and even socalled positivistic or empirical science is caught in its thrall, for as logic binds these sciences together, mere Hypotheses and axioms
http://blog.lib.umn.edu/saintx/eremite/2006/09/the_nature_of_hypothesis.html

4. Uniformitarianism - CreationWiki, The Encyclopedia Of Creation Science
The axioms are universally acclaimed by scientists, and embraced by all geologists  creationary and evolutionary alike. However, the Hypotheses were and
http://creationwiki.org/Uniformitarianism

5. PLATO S DIVIDED LINE
It is the business of this science to test the truth of the Hypotheses and axioms of the lower sciences in terms of Hypotheses of still wider application
http://www.earlham.edu/~mileske/Files/Plato's Divided Line.htm

6. 03Exx
relations, and set algebra); 03E25 Axiom of choice and related propositions 03E60 Determinacy principles; 03E65 Other Hypotheses and axioms
http://www.ams.org/msc/03Exx.html

7. Truth Evolutionism
From Euclid to Newton, scientists established science system from Hypotheses like axioms and laws, which greatly simplified science foundation.
http://unifytruth.20m.com/philosophy.html

8. List KWIC DDC And MSC Lexical Connection
Hypotheses and axioms other 03E65 hypothesis and Martin s axiom continuum 03E50 hypothesis testing 519.56 hypothesis testing 62F03
http://www.mi.imati.cnr.it/~alberto/dml_11_25.htm

9. 03Exx
and set algebra) 03E25 Axiom of choice and related propositions 03E30 Large cardinals 03E60 Determinacy principles 03E65 Other Hypotheses and axioms
http://www.emis.de/MSC2000/03Exx.html

10. Why Science (Natural Philosophy) Is Bullshit
On the basis of these (and still more, this list is just the highlights and not exhaustive) axioms, scientists propose Hypotheses leading to coherent,
http://www.phy.duke.edu/~rgb/Philosophy/axioms/axioms/node44.html

11. 03Exx
03E50, Continuum hypothesis and Martin s axiom. 03E55, Large cardinals 03E65, Other Hypotheses and axioms. 03E70, Nonclassical and secondorder set
http://www.impan.gov.pl/MSC2000/03Exx.html

12. Weekly Intent - Desh Kapoor : IntentBlog
Its a construct operating according to certain defined mathematical and physical principles (which are themselves Hypotheses or axioms).
http://www.intentblog.com/archives/2007/12/weekly_intent_d_15.html

13. The Axioms Of Probability Calculus (part 1) « Philosophy Of Science
The Logic of Falsification and the Structure of Scientific Hypotheses . to be a very nice summation of the most fundamental axioms of probability.
http://postpositivism.wordpress.com/2006/04/04/the-axioms-of-probability-calculu

14. MathNet-Mathematical Subject Classification
03E50, Continuum hypothesis and Martin s axiom See also 04A30, 54A25. 03E55, Large cardinals 03E65, Other Hypotheses and axioms
http://basilo.kaist.ac.kr/API/?MIval=research_msc_1991_out&class=03-XX

15. Sachgebiete Der AMS-Klassifikation: 00-09
03D75 Abstract and axiomatic recursion theory 03D80 Applications of recursion which contradict the axiom of choice 03E65 Other Hypotheses and axioms
http://www.math.fu-berlin.de/litrech/Class/ams-00-09.html

16. Gallery :: Part III: The Illustrated "Zen & The Art Of Motorcycle Maintenance" C
His judgment that the scientist selects facts, Hypotheses and axioms on the basis of harmony, also left the rough serrated edge of a puzzle incomplete.
http://ww2.usca.edu/ResearchProjects/ProfessorGurr/gallery/album08?page=5

17. THE INTERNALLY REAL, THE FICTITIOUS, AND THE INDUBITABLE
It could either be a matter of inferential blunders or of generating a contradiction by affirming a possibility which is denied by the axioms, Hypotheses,
http://www.cspeirce.com/menu/library/aboutcsp/dozoretz/internal.htm

18. Learning-Org December 1999: When Is Something Real? LO23493
Conjectures, like Hypotheses, postulates, axioms, logical theorems and empirical laws, are a special kind of propositions. A proposition is
http://www.learning-org.com/99.12/0038.html

19. HeiDok
03E65 Other Hypotheses and axioms ( 0 Dok. ) 03E70 Nonclassical and secondorder set theories ( 0 Dok. ) 03E72 Fuzzy set theory ( 0 Dok.
http://archiv.ub.uni-heidelberg.de/volltextserver/msc_ebene3.php?zahl=03E&anzahl

20. Gene Expression: Am I Chomsky?
While we re on the subject of mea culpas I ve also been re-evaluating some of my Hypotheses and axioms. I get so worked up over the fact that the
http://www.gnxp.com/MT2/archives/001053.html

21. MathSC2000 < Mizar < Mizar TWiki
03E65 Set theory Other Hypotheses and axioms Primary classification Article Secondary classification Article 1 tarski Tarski Grothendieck Set Theory
http://wiki.mizar.org/cgi-bin/twiki/view/Mizar/MathSC2000

22. ANALYZING ARGUMENTS AND EVIDENCE
Formal (mathematical) logic is a system for deduction that is always correct when the Hypotheses and axioms are correct. Effectively, all mathematics has
http://www.truthpizza.org/logic/main.htm

23. Awaretek.com :: God And Purpose In The Light Of Science And Reason
These Hypotheses have more in common with the most basic axioms and Hypotheses of physical science than may be apparent at first glance.
http://www.awaretek.com/GodandScience.html

24. MSC 2000 : CC = Other
Other notions of settheoretic definability; 03E65 Other Hypotheses and axioms Riemann and other Hypotheses; 11M41 Other Dirichlet series and zeta
http://www-mathdoc.ujf-grenoble.fr/cgi-bin/msc2000.py?CC=other&L=fr

25. Define 'Axiom Postulate Theorem Corollary Hypothesis' - #region Coad's Code
If this statement does not follow from your present system of axioms, you may wish to include an additional axiom or make the hypothesis an axiom itself and
http://msmvps.com/blogs/coad/archive/2005/03/21/39194.aspx

26. Theory
For instance, starting with some basic Hypotheses (or axioms), such as gases are made of tiny, independent particles , one can derive,
http://www.batesville.k12.in.us/physics/PhyNet/AboutScience/Theory.html

27. Albert Einstein
The grand aim of all science is to cover the greatest number of empirical facts by logical deduction from the smallest number of Hypotheses or axioms.
http://www.websophia.com/faces/einstein.html

28. Bacon
In doing induction we come up with what Bacon calls axioms, which we would now call lawlike Hypotheses. These axioms must meet certain standards,
http://home.midsouth.rr.com/philarete/philosophy/bacon.html

29. New Axioms For Set Theory
In addition, there are interesting Hypotheses that appear to be true but not yet sufficiently analyzed to be proposed axioms. To be effective, set theory
http://web.mit.edu/dmytro/www/ProposedAxioms.htm

30. Phys. Rev. (Series I) 9 (1899): - New Books
As fundamental concepts are those in terms of which fundamental, Hypotheses or axioms are expressed, the reformulation of concepts should involve a similar
http://link.aps.org/doi/10.1103/PhysRevSeriesI.9.59

31. Philosophical Foundations Of Occam's Razor
For the first, creative step, the scientist is trying to find a set of Hypotheses or axioms which imply the observed phenomena.
http://cgm.cs.mcgill.ca/~soss/cs644/projects/jacob/foundations.html

32. Axiom Quotes & Quotations
The grand aim of all science is to cover the greatest number of empirical facts by logical deduction from the smallest number of Hypotheses or axioms.
http://thinkexist.com/quotes/with/keyword/axiom/

33. About Proofs
Start with a collection of Hypotheses, which you assume to be true, for the sake of argument. Aristotle divided these Hypotheses into axioms or
http://www.math.usf.edu/~mccolm/pedagogy/HWproofs.html

34. Radical Therapy - Book From Origin Press
The hypothesis of the Unified Field of love validates the reports of facts by logical deduction from the smallest number of Hypotheses or axioms.
http://www.originpress.com/radicaltherapy/chapter_2.htm

35. Metamath Solitaire
Each axiom has one assertion and zero or more Hypotheses. The first 3 have no Hypotheses. The axiom axmp has 2 Hypotheses and is usually called an
http://us.metamath.org/mmsolitaire/mms.html

36. Mark “Halcy0n” Loeser » Albert Einstein
The grand aim of all science is to cover the greatest number of empirical facts by logical deduction from the smallest number of Hypotheses of axioms.
http://www.halcy0n.com/quotes/albert-einstein

37. Global Spiral :: Article
Secondly, the Hypotheses underlying a theory are unconfirmed statements on what by logical deduction from the smallest number of Hypotheses or axioms.
http://metanexus.net/Magazine/ArticleDetail/tabid/68/id/10213/Default.aspx

38. AmosWEB Is Economics: Encyclonomic WEB*pedia
While axioms cannot be verified directly with real world data, as is the case for Hypotheses, they can be checked indirectly.
http://www.amosweb.com/cgi-bin/awb_nav.pl?s=wpd&c=dsp&k=axiom

39. ORO: Oxford Reference Online: Premium Collection Sample Entries
aim of all science is to cover the greatest number of empirical facts by logical deduction from the smallest possible number of Hypotheses or axioms.
http://www.oxfordreference.com/pages/samplep-18

40. Axioms Cannot Prove Falsity? Text - Physics Forums Library
A rule is finite if it has finitely many Hypotheses. Then define theorems as follows i) The axioms of S are theorems of S; ii) If all Hypotheses of a rule
http://physicsforums.com/archive/index.php/t-68826.html

41. Science Musings By Chet Raymo
the greatest possible number of empirical facts by logical deductions from the smallest possible number of Hypotheses of axioms. Simplicity. Parsimony.
http://www.sciencemusings.com/musingsarchive/2006_07_23_musings.html

42. FormalSystemsLanguage - ESW Wiki
So, the rules of inference tell us how, with the benefit of axioms, and possibly some hypothesis, (wait for it,) we can figure out new things.
http://esw.w3.org/topic/FormalSystemsLanguage

43. Utah Skies Astronomy Resource | The Amateur Astronomer's Resource
The grand aim of all science is to cover the greatest number of empirical facts by logical deduction from the smallest number of Hypotheses or axioms.
http://www.utahskies.org/deepsky/constellations/piscesMain.html

44. E-G Quotes
The grand aim of all science is to cover the greatest number of empirical facts by logical deduction from the smallest number of Hypotheses or axioms.
http://www.intercom.net/~dayna/e-gquotes.html

45. Albert Einstein - Biography
The grand aim of all science is to cover the greatest number of empirical facts by logical deduction from the smallest number of Hypotheses or axioms.
http://www.imdb.com/name/nm0251868/bio

46. Continuum Hypothesis - Wikipedia, The Free Encyclopedia
Later work by Paul Cohen established that the continuum hypothesis is neither provable nor disprovable from the axioms of ZermeloFraenkel set theory with
http://en.wikipedia.org/wiki/Continuum_hypothesis

47. DC MetaData For: The Proper Forcing Axiom And The Singular Cardinal Hypothesis
Abstract We show that the Proper Forcing Axiom implies the Singular Cardinal Hypothesis. The proof uses ideas of Moore from \cite{mooSCH} and the notion of
http://www.esi.ac.at/Preprint-shadows/esi1697.html

48. 03E: Set Theory
Natural axioms which imply the negation of Continuum Hypothesis; How does (Set Theory axiom) V=L prove the Continuum Hypothesis?
http://www.math.niu.edu/~rusin/known-math/index/03EXX.html

49. PlanetMath: Axiom
However, at this date we have no way of demonstrating the consistency of modern set theory (ZermeloFrankel axioms). The axiom of choice, a key hypothesis
http://planetmath.org/encyclopedia/Axiom.html

50. OTHER MINDS SCHRÖDINGER CARNAP
He would have also recognised that the use of the terms hypothesis or axiom , including when qualified as fundamental and when expressed with the help
http://pagesperso-orange.fr/michel.bitbol/alteregoangl.html

51. The Scientific Method/Components Of The Method - Wikibooks, Collection Of Open-c
1 Principles; 2 World View (axioms, Postulates); 3 Theory. 3.1 Hypothesis; 3.2 Predictions; 3.3 Theorems. 4 Verification. 4.1 Observations; 4.2 Experiments
http://en.wikibooks.org/wiki/The_Scientific_Method/Components_of_the_Method

52. 20th WCP: The Heuristic Function Of The Axiomatic Method
This axiomatic method is usually restricted to a nonphilosophical approach to pure e.g., by the creative methods to find best Hypotheses (abduction),
http://www.bu.edu/wcp/Papers/Scie/SciePeck.htm

53. Popper's Philosophy Of Science
Suppose we have a simple theory with one axiom, one middle level statement which, for this example, we will call the hypothesis , and only one basic
http://www.xenodochy.org/article/popper.html

54. § 9. Axiom / Postulate / Theorem / Corollary / Hypothesis. 4. Science Terms. The
9. axiom / postulate / theorem / corollary / hypothesis. 4. Science Terms. The American Heritage Book of English Usage. 1996.
http://www.bartleby.com/64/C004/009.html

55. MOT - SYSTEM I
(4) also called the KKthesis or the axiom of self-awareness. If a method knows a hypothesis, then the method´knows that it knows the hypothesis
http://www.mot.ruc.dk/system01/sys01S4.htm

56. [FOM] On The Continuum Hypothesis, Part 2
The solution presented to the Continuum Hypothesis (if it is a solution) can be considered as a semiaxiom as it is our best but not certain guess about
http://cs.nyu.edu/pipermail/fom/2006-May/010555.html

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