21 research outputs found
Genetic variation and acid tolerance in the Nemouridae (Insecta: Plecoptera)
An electrophoretic survey of sixteen enzyme loci in nine of the eleven British Nemouridae (Insecta: Plecoptera) was carried out in order to assess their systematic relationships and to determine the level of genetic variation in these primitive insects. [Continues.
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Mersenne numbers
These notes have been issued on a small scale in 1983 and 1987 and on request at other times. This issue follows two items of news. First, WaIter Colquitt and Luther Welsh found the 'missed' Mersenne prime M110503 and advanced the frontier of complete Mp-testing to 139,267. In so doing, they terminated Slowinski's significant string of four consecutive Mersenne primes. Secondly, a team of five established a non-Mersenne number as the largest known prime. This result terminated the 1952-89 reign of Mersenne primes. All the original Mersenne numbers with p < 258 were factorised some time ago. The Sandia Laboratories team of Davis, Holdridge & Simmons with some little assistance from a CRAY machine cracked M211 in 1983 and M251 in 1984. They contributed their results to the 'Cunningham Project', care of Sam Wagstaff. That project is now moving apace thanks to developments in technology, factorisation and primality testing. New levels of computer power and new computer architectures motivated by the open-ended promise of parallelism are now available. Once again, the suppliers may be offering free buildings with the computer. However, the Sandia '84 CRAY-l implementation of the quadratic-sieve method is now outpowered by the number-field sieve technique. This is deployed on either purpose-built hardware or large syndicates, even distributed world-wide, of collaborating standard processors. New factorisation techniques of both special and general applicability have been defined and deployed. The elliptic-curve method finds large factors with helpful properties while the number-field sieve approach is breaking down composites with over one hundred digits. The material is updated on an occasional basis to follow the latest developments in primality-testing large Mp and factorising smaller Mp; all dates derive from the published literature or referenced private communications. Minor corrections, additions and changes merely advance the issue number after the decimal point. The reader is invited to report any errors
and omissions that have escaped the proof-reading, to answer the unresolved questions noted and to suggest additional material associated with this subject
Semantic networks
AbstractA semantic network is a graph of the structure of meaning. This article introduces semantic network systems and their importance in Artificial Intelligence, followed by I. the early background; II. a summary of the basic ideas and issues including link types, frame systems, case relations, link valence, abstraction, inheritance hierarchies and logic extensions; and III. a survey of ‘world-structuring’ systems including ontologies, causal link models, continuous models, relevance, formal dictionaries, semantic primitives and intersecting inference hierarchies. Speed and practical implementation are briefly discussed. The conclusion argues for a synthesis of relational graph theory, graph-grammar theory and order theory based on semantic primitives and multiple intersecting inference hierarchies
Rigid designation, scope and modality
Thesis. 1979. Ph.D.--Massachusetts Institute of Technology. Dept. of Linguistics and Philosophy.MICROFICHE COPY AVAILABLE IN ARCHIVES AND HUMANITIES.Includes bibliographical references.by George E. Smith.Ph.D
Logical presupposition : a re-appraisal of the concept and revision of the theory
PhD ThesisThis dissertation is a defence of a logical approach to
presupposition. In it
(1) I enumerate, by way of apologia, some fundamental assumptions
underlying both antagonistic and protagonistic treatments of such an
approach, and argue that they are conceptually unnecessary,
methodologically untoward, and/or logically contradictory. Most
saliently,
(a) I demonstrate the conceptual and logical contradiction in
the view that presuppositional logic might be compatible
with (or even imply) an ambiguity of natural language
negation,
(b) I provide a critique of the now traditional disassociation
of the problems of presupposition-definition and presupposition-
projection,
(c) I provide a critique of the view that presuppositional
logic -might be compatible with (or imply) logical
trivalence.
(2) In the light of a discussion of the conceptual distinction, I
propose logical criteria for the distinction between a three-valued
logic and a two-valued logic with truth-value gaps.
(3) I demonstrate that, by these criteria, the standard
(Strawsonian) Definition of Presupposition (SLDP) induces a
trivalent logic.
(4) I present a distinct (but comparable) revised logical definition
of presupposition (RLDP)showing that it induces a system that
conforms to the proposed criteria for a two-valued logic with truth-value
gaps.
(5) By showing that the several problems associated with the SLDP do
not arise (are 'solved') in the framework of the RLDP I show (a)
that the problems encountered by the SLDP stem more or less directly
from its trivalence and (b) that the facts of presupposition-projection
are (and should be) immanent in the concept (and hence
the definition) of presupposition itself, rather than represented as
properties of logical functors. I also show that the revised
definition reveals an unsuspected connection between compound
counter-examples and simple counter-examples to the SLDP