scholarly journals SAD computers and two versions of the Church–Turing Thesis

2017 ◽  
Author(s):  
Tim Button
Keyword(s):  
British Journal ◽  
Philosophy Of Science ◽  
Recent Work ◽  
Euclidean Geometry ◽  
Turing Computability ◽  
Effective Version ◽  
Physical Possibility ◽  
Non Euclidean Geometry ◽  
The Church

Recent work on hypercomputation has raised new objections against the Church–Turing Thesis. In this paper, I focus on the challenge posed by a particular kind of hypercomputer, namely, SAD computers. I first consider deterministic and probabilistic barriers to the physical possibility of SAD computation. These barriers suggest several ways to defend a Physical version of the Church–Turing Thesis. I then argue against Hogarth’s analogy between non-Turing computability and non-Euclidean geometry, showing that it is a non-sequitur. I conclude that the Effective version of the Church–Turing Thesis is unaffected by SAD computation.Published in British Journal for the Philosophy of Science 60.4: 765–92.

scholarly journals “I have Learned Non-Euclidean Geometry Just from this Book” - Some facets of the correspondence between Friedrich Engel and David Hilbert

2021 ◽  
Vol 76 (3) ◽  
Author(s):  
Peter Ullrich
Keyword(s):  
Present Article ◽  
19Th Century ◽  
Euclidean Geometry ◽  
Academic Life ◽  
David Hilbert ◽  
Non Euclidean Geometry ◽  
The 19Th Century

AbstractFriedrich Engel and David Hilbert learned to know each other at Leipzig in 1885 and exchanged letters in particular during the next 15 years which contain interesting information on the academic life of mathematicians at the end of the 19th century. In the present article we will mainly discuss a statement by Hilbert himself on Moritz Pasch’s influence on his views of geometry, and on personnel politics concerning Hermann Minkowski and Eduard Study but also Engel himself.

scholarly journals Langevin simulations of protoplasmic streaming in non-Euclidean geometry

2021 ◽  
Vol 1730 (1) ◽  
pp. 012037
Author(s):  
Shuta Noro ◽  
Masahiko Okumura ◽  
Satoshi Hongo ◽  
Shinichiro Nagahiro ◽  
Toshiyuki Ikai ◽  
...  
Keyword(s):  
Euclidean Geometry ◽  
Protoplasmic Streaming ◽  
Non Euclidean Geometry

Practical Non-Euclidean Geometry

1925 ◽  
Vol 12 (177) ◽  
pp. 422 ◽  
Author(s):  
T. C. J. Elliott
Keyword(s):  
Euclidean Geometry ◽  
Non Euclidean Geometry

Church Discipline in the Later Middle Ages: the Priors of Durham as Archdeacons

2004 ◽  
Vol 40 ◽  
pp. 95-105
Author(s):  
Margaret Harvey
Keyword(s):  
Recent Work ◽  
Middle Ages ◽  
Fourteenth Century ◽  
Local Level ◽  
Church Discipline ◽  
Full Account ◽  
Church Courts ◽  
Medieval Church ◽  
The Church ◽  
The Way

It is often forgotten that the medieval Church imposed public penance and reconciliation by law. The discipline was administered by the church courts, among which one of the most important, because it acted at local level, was that of the archdeacon. In the later Middle Ages and certainly by 1435, the priors of Durham were archdeacons in all the churches appropriated to the monastery. The priors had established their rights in Durham County by the early fourteenth century and in Northumberland slightly later. Although the origins of this peculiar jurisdiction were long ago unravelled by Barlow, there is no full account of how it worked in practice. Yet it is not difficult from the Durham archives to elicit a coherent account, with examples, of the way penance and ecclesiastical justice were administered from day to day in the Durham area in this period. The picture that emerges from these documents, though not in itself unusual, is nevertheless valuable and affords an extraordinary degree of detail which is missing from other places, where the evidence no longer exists. This study should complement the recent work by Larry Poos for Lincoln and Wisbech, drawing attention to an institution which would reward further research. It is only possible here to outline what the court did and how and why it was used.

Anti-Geometry and NeutroGeometry Characterization of Non-Euclidean Data

2021 ◽  
pp. 24-33
Author(s):  
Prem Kumar Singh ◽  
Keyword(s):  
Euclidean Geometry ◽  
Current Paper ◽  
Data Sets ◽  
Knowledge Processing ◽  
Non Euclidean Geometry ◽  
Precise Representation

Recently, a problem is addressed while dealing with fourth dimensional or non-Euclidean data sets. These are the data sets does not follow one of the postulates established by Euclid specially the parallel postulates. In this case, the precise representation of these data sets is major issues for knowledge processing tasks. Hence, the current paper tried to introduce some non-Euclidean geometry or Anti-Geometry methods and its examples for various applications.

scholarly journals The Non-Euclidean Geometry Inevitable

The Monist ◽  
1894 ◽  
Vol 4 (4) ◽  
pp. 483-493
Author(s):  
George Bruce Halsted ◽  
Keyword(s):  
Euclidean Geometry ◽  
Non Euclidean Geometry
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