User:Visviva/Erkenntnis 200805

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This is a list of lowercase non-hyphenated single words found in the 2008-05 issue of Erkenntnis which did not have English entries in the English Wiktionary when this list was created.

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44582 tokens ‧ 37823 valid lowercase tokens ‧ 4235 types ‧ 77 (~ 1.818%) words before cleaning ‧ 

2008-05[edit]

  1. acausal
  2. approximatively
    • 2008 April 17, Kajsa Bråting and Johanna Pejlare, “Visualizations in Mathematics”, Erkenntnis, volume 68, number 3, DOI:10.1007/s10670-008-9104-3: 
      He considered the function strip as a collection of functions that are approximatively equal to each other and he considered a function to represent a strip if all its values belongs to the strip.
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  3. argumentations
    • 2008 March 21, Bernd Buldt, Benedikt Löwe and Thomas Müller, “Towards a New Epistemology of Mathematics”, Erkenntnis, volume 68, number 3, DOI:10.1007/s10670-008-9101-6: 
      The first historical case study presented pertains to the criticism and the eventual decline of visualization in mathematics triggered by geometrical and analytical argumentations drifting apart in the course of the rigourization of analysis in the 19th century.
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  4. axiomatics
  5. axiomatizations
  6. calculational
  7. checkability
  8. contextualism
  9. decomposability
    • 2008 January 31, Bart Van Kerkhove and Jean Paul Van Bendegem, “Pi on Earth, or Mathematics in the Real World”, Erkenntnis, volume 68, number 3, DOI:10.1007/s10670-008-9102-5: 
      11 Next to this quest for a formal proof however, since about the middle of the eighteenth century, substantial efforts have been done to check an increasing amount of specific numbers upon this particular way of decomposability.
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  10. deductivists
  11. dehistoricize
  12. digitalization
  13. disjunctiveness
  14. explanatoriness
  15. fictionalists
    • 2008 March 21, Kenny Easwaran, “The Role of Axioms in Mathematics”, Erkenntnis, volume 68, number 3, DOI:10.1007/s10670-008-9106-1: 
      With foundational axioms, realists about abstract numbers can share the theorems of Peano arithmetic with fictionalists, while with structural axioms, group theorists can share theorems about topological spaces with set theorists.
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  16. formalizability
  17. foundationalism
  18. foundationalist
  19. foundationally
  20. gapless
  21. historiographic
  22. incomputability
  23. indispensible
    • 2008 March 21, Bernd Buldt, Benedikt Löwe and Thomas Müller, “Towards a New Epistemology of Mathematics”, Erkenntnis, volume 68, number 3, DOI:10.1007/s10670-008-9101-6: 
      However, whereas Van Bendegem and Van Kerkhove conclude by saying that experimental methods and an empirical basis form an indispensible backdrop for mathematical practice, Baker goes the other way and says that the fact that mathematicians use experiments in the context of discovery is “compatible with the view that mathematics is a priori and deductive at its core”.
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  24. inductiveness
  25. logicist
    • 2008 March 21, Bernd Buldt, Benedikt Löwe and Thomas Müller, “Towards a New Epistemology of Mathematics”, Erkenntnis, volume 68, number 3, DOI:10.1007/s10670-008-9101-6: 
      Their solution was to adopt Russell’s logicist thesis that every mathematical concept can be defined in the language of logic and that every mathematical proof can be replaced by a purely logical derivation using the logical definitions of the concepts involved; hence the label “ Logical Empiricism”.
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  26. monotonicity
    • 2008 April 17, Kajsa Bråting and Johanna Pejlare, “Visualizations in Mathematics”, Erkenntnis, volume 68, number 3, DOI:10.1007/s10670-008-9104-3: 
      The ‘intuitively evident’ fact that a function that varies continuously must be piecewise monotonic was used, and differentiability and monotonicity were linked together.
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  27. nondeductive
  28. nonrigorous
  29. piecewise
    • 2008 April 17, Kajsa Bråting and Johanna Pejlare, “Visualizations in Mathematics”, Erkenntnis, volume 68, number 3, DOI:10.1007/s10670-008-9104-3: 
      The ‘intuitively evident’ fact that a function that varies continuously must be piecewise monotonic was used, and differentiability and monotonicity were linked together.
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  30. platonism
  31. primehood
    • 2008 January 31, Bart Van Kerkhove and Jean Paul Van Bendegem, “Pi on Earth, or Mathematics in the Real World”, Erkenntnis, volume 68, number 3, DOI:10.1007/s10670-008-9102-5: 
      Because it involves the addition of numbers defined in terms of multiplication, this problem is as hard to tackle as it is easy to phrase and grasp (as for the latter, it only takes one to master the concepts of evenness and primehood).
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  32. prover
  33. reconceptualize
  34. reducibility
  35. rigourization
    • 2008 March 21, Bernd Buldt, Benedikt Löwe and Thomas Müller, “Towards a New Epistemology of Mathematics”, Erkenntnis, volume 68, number 3, DOI:10.1007/s10670-008-9101-6: 
      The first historical case study presented pertains to the criticism and the eventual decline of visualization in mathematics triggered by geometrical and analytical argumentations drifting apart in the course of the rigourization of analysis in the 19th century.
      add - notemp
  36. spacetimes
    • 2008 March 21, Bernd Buldt, Benedikt Löwe and Thomas Müller, “Towards a New Epistemology of Mathematics”, Erkenntnis, volume 68, number 3, DOI:10.1007/s10670-008-9101-6: 
      In the second scenario, they employ Malament–Hogarth spacetimes, a theory that recently gained a lot of attention in the computability community as these solutions to the Einstein equations of General Relativity allowing for an infinite amount of time to pass in what is a finite amount of time for an observer.
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  37. supertasks
    • 2008 January 31, Bart Van Kerkhove and Jean Paul Van Bendegem, “Pi on Earth, or Mathematics in the Real World”, Erkenntnis, volume 68, number 3, DOI:10.1007/s10670-008-9102-5: 
      One might object that this scenario is truly a fiction, but the recent literature on supertasks shows that, although their reality is definitely still not established, at least its plausibility can be argued for.
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  38. surveyability
    • 2008 January 31, Bart Van Kerkhove and Jean Paul Van Bendegem, “Pi on Earth, or Mathematics in the Real World”, Erkenntnis, volume 68, number 3, DOI:10.1007/s10670-008-9102-5: 
      The fourth topic, induction, touches upon the alleged experimental and other non-deductive dimensions to mathematical activity, involving such techniques as the brute manipulation of numbers, probability arguments, or visual proofs, and putting to the test the epistemic principles of surveyability and understanding.
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  39. surveyable
  40. tenseless
  41. ultrafinitism
  42. ultrafinitists
  43. unexplanatory
    • 2008 May 30, Alan Baker, “Experimental Mathematics”, Erkenntnis, volume 68, number 3, DOI:10.1007/s10670-008-9109-y: 
      If explanation is indeed tied closely to unification then it is not hard to see how the disjunctiveness characteristic of computer proof tends to yield proofs that are also considered relatively unexplanatory by mathematicians.
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  44. unfeasibly
    • 2008 May 30, Alan Baker, “Experimental Mathematics”, Erkenntnis, volume 68, number 3, DOI:10.1007/s10670-008-9109-y: 
      The most common reason for resorting to computers to help with proving a given result is because we are faced with an unfeasibly large number of particular cases that need to be worked through in order to verify a general claim.
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  45. unilluminating
  46. unproblematically
    • 2008 May 30, Alan Baker, “Experimental Mathematics”, Erkenntnis, volume 68, number 3, DOI:10.1007/s10670-008-9109-y: 
      More serious, perhaps, for the computational characterization is that many uses of computation fall unproblematically under traditional mathematical methodology and seem to have nothing to do with experimental mathematics.
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  47. usurpatory

Sequestered[edit]

  1. persistance - typo only?
    • 2008 January 31, Bart Van Kerkhove and Jean Paul Van Bendegem, “Pi on Earth, or Mathematics in the Real World”, Erkenntnis, volume 68, number 3, DOI:10.1007/s10670-008-9102-5: 
      We can only aim at part of the answer here, contending that, at the very least, this persistance has to do somehow with the hope of increasing insight in problems at hand, more particularly by exploring the mathematical realm surrounding them.
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