A system of implicit quantification

1968 ◽  
Vol 32 (4) ◽  
pp. 480-504 ◽  
Author(s):  
J. Jay Zeman
Keyword(s):  
Subject Matter ◽  
Traditional Method ◽  
Natural Deduction ◽  
Propositional Calculus ◽  
Axiom System ◽  
Symbolic Logic ◽  
Quantification Theory ◽  
The Subject

The “traditional” method of presenting the subject-matter of symbolic logic involves setting down, first of all, a basis for a propositional calculus—which basis might be a system of natural deduction, an axiom system, or a rule concerning tautologous formulas. The next step, ordinarily, consists of the introduction of quantifiers into the symbol-set of the system, and the stating of axioms or rules for quantification. In this paper I shall propose a system somewhat different from the ordinary; this system has rules for quantification and is, indeed, equivalent to classical quantification theory. It departs from the usual, however, in that it has no primitive quantifiers.

scholarly journals Using Student Opinions Regarding Traditional Vs. Writing Across The Curriculum Teaching Techniques: A Qualitative Pilot Study

2011 ◽  
Vol 4 (1) ◽  
pp. 19 ◽  
Author(s):  
Vicki Todd ◽  
Jerry C. Hudson
Keyword(s):  
Pilot Study ◽  
Focus Groups ◽  
Subject Matter ◽  
Traditional Method ◽  
Writing Across The Curriculum ◽  
Teaching Techniques ◽  
Student Opinions ◽  
Test Taking ◽  
The Subject

The focus groups of students representing a variety of majors, reported that assigning WTL exercises, WID papers, and guided-focus journals was indeed useful in helping then to learn the subject matter more comprehensively than the traditional method of lecturing and test taking. Students tended to report that they learned the information more in depth and could apply the information in their respective majors compared to only memorizing facts and terms.

Remarks on identity and description in first-order axiom systems

1954 ◽  
Vol 19 (1) ◽  
pp. 14-20 ◽  
Author(s):  
Theodore Hailperin
Keyword(s):  
Subject Matter ◽  
Axiom System ◽  
Order System ◽  
Quantification Theory ◽  
Specific Subject ◽  
First Order ◽  
Finite Set ◽  
The One ◽  
Image Position ◽  
Axiom Systems

Hilbert and Ackermann ([1], p. 107) define a first order axiom system as one in which the axioms contain one or more predicate constants, but no predicate variables. Here “axiom” refers to the specific subject-matter axioms and not to the rules of the restricted predicate calculus (quantification theory), which rules are presupposed for each first-order system. It is pointed out by them that an exception could be made for the predicate of identity; for the axiom scheme for this predicate, namelywhich has in (b) the variable predicate F, could nevertheless be replaced, in any given first-order system, by a finite set of axioms without predicate variables. Thus, for example, if Φ[x, y) is the one constant predicate of such a system then PId(b) could be replaced byThus one postulates, in addition to the reflexivity, symmetry, and transitivity of identity, the substitutivity of identical entities in each of the possible “atomic” contexts of a variable (occurrences in the primitive predicates). In this method of introducing identity it has to be taken as an additional primitive predicate and further axioms are consequently needed. In such a system having PId(a), (b1)−(b3) as axioms, the scheme PId(b) can be derived as a meta-theorem of the system, F(x) then being any formula of the system.

Logical works, by Mordchaj Wajsberg. Edited and with an introduction by Stanisław J. Surma. ZakВad Narodowy imienia Ossolińskich, Wydawnictwo Polskiej Akademii Nauk, Wrocław etc. 1977, 216 pp. - Stanisław J. Surma. Mordchaj Wajsberg. Life and work. Pp. 7–11. - Mordchaj Wajsberg. Axiomatization of the three-valued propositional calculus. Pp. 12–29. A reprint of XXXV 442(15) (English translation by B. Gruchman and S. McCall of 4371). - Mordchaj Wajsberg. On the axiom system of propositional calculus. Pp. 30–36. English translation of 4372. - Mordchaj Wajsberg. A new axiom of propositional calculus in Sheffer's sbmbols. Pp. 37–39. English translation of 4373. - Mordchaj Wajsberg. Investigations of functional calculus for finite domain of individuals. Pp. 40–49. English translation of 4374. - Mordchaj Wajsberg. An extended class calculus. Pp. 50–61. English translation of 4375. - Mordchaj Wajsberg. A contribution to metamathematics. Pp. 62–88. English translation of 4376. - Mordchaj Wajsberg. Contributions to meta-calculus of propositions I. Pp. 89–106. English translation of 4377. - Mordchaj Wajsberg. On the matrix method of independence proofs. Pp. 107–131. English translation of I 75. - Mordchaj Wajsberg. On A. Heyting's propositional calculus. Pp. 132–171. English translation of III 169. - Mordchaj Wajsberg. Contributions to metalogic. Pp. 172–200. Areprint of XXXV 442(16) (English translation by S. McCall and P. Woodruff of II 93). - Mordchaj Wajsberg. Contributions to metalogic II. Pp. 201–214. A reprint of XXXV 442(17) (English translation by S. McCall of V 31). - Mordchaj Wajsberg. Review of Mihailescu's Recherches sur les formes normalespar rapport à l'equivalence et la disjonction, dans le calcul des propositions (IV 91). Pp. 215–216. English translation of pp. 91–92 of The journal of symbolic logic, vol. 4 (1939).

1983 ◽  
Vol 48 (3) ◽  
pp. 873-874
Author(s):  
Storrs McCall
Keyword(s):  
English Translation ◽  
Functional Calculus ◽  
Matrix Method ◽  
Propositional Calculus ◽  
Axiom System ◽  
Finite Domain ◽  
Symbolic Logic ◽  
The Matrix ◽  
Extended Class

Words

PMLA ◽  
1935 ◽  
Vol 50 (4) ◽  
pp. 1320-1327
Author(s):  
Colbert Searles
Keyword(s):  
Subject Matter ◽  
Assistant Professor ◽  
The Subject

THE germ of that which follows came into being many years ago in the days of my youth as a university instructor and assistant professor. It was generated by the then quite outspoken attitude of colleagues in the “exact sciences”; the sciences of which the subject-matter can be exactly weighed and measured and the force of its movements mathematically demonstrated. They assured us that the study of languages and literature had little or nothing scientific about it because: “It had no domain of concrete fact in which to work.” Ergo, the scientific spirit was theirs by a stroke of “efficacious grace” as it were. Ours was at best only a kind of “sufficient grace,” pleasant and even necessary to have, but which could, by no means ensure a reception among the elected.

The Taxonomic Structuring of Medical Information and its Usefulness in this Form

1965 ◽  
Vol 04 (03) ◽  
pp. 112-114 ◽  
Author(s):  
H. Zinsser
Keyword(s):  
Subject Matter ◽  
Medical Information ◽  
Central Core ◽  
Diagnostic Strategy ◽  
Programmed Instruction ◽  
Orderly Fashion ◽  
The Subject

An outline has been presented in historical fashion of the steps devised to organize the central core of medical information allowing the subject matter, the patient, to define the nature and the progression of the diseases from which he suffers, with and without therapy; and approaches have been made to organize this information in such fashion as to align the definitions in orderly fashion to teach both diagnostic strategy and the content of the diseases by programmed instruction.

العربية المقاربة المقاصديّة في ردّ ابن فودي على القادح في جلستهم الدعويّة

2018 ◽  
Vol 6 (3) ◽  
Author(s):  
Alawiye Abdulmumin Abdurrazzaq ◽  
Ahmad Wifaq Mokhtar ◽  
Abdul Manan Ismail
Keyword(s):  
Nineteenth Century ◽  
West Africa ◽  
Subject Matter ◽  
Analytical Methods ◽  
Men And Women ◽  
The Subject

This article is aimed to examine the extent of the application of Islamic legal objectives by Sheikh Abdullah bn Fudi in his rejoinder against one of their contemporary scholars who accused them of being over-liberal about the religion. He claimed that there has been a careless intermingling of men and women in the preaching and counselling gathering they used to hold, under the leadership of Sheikh Uthman bn Fudi (the Islamic reformer of the nineteenth century in Nigeria and West Africa). Thus, in this study, the researchers seek to answer the following interrogations: who was Abdullah bn Fudi? who was their critic? what was the subject matter of the criticism? How did the rebutter get equipped with some guidelines of higher objectives of Sharĩʻah in his rejoinder to the critic? To this end, this study had tackled the questions afore-stated by using inductive, descriptive and analytical methods to identify the personalities involved, define and analyze some concepts and matters considered as the hub of the study.

HUBUNGAN PROFESIONALISME PENDIDIK TK DENGAN KINERJA PENDIDIK DI TK RAYON IV KOTA DUMAI

2019 ◽  
Vol 3 (3) ◽  
pp. 660
Author(s):  
Ranirizal Ranirizal
Keyword(s):  
Learning Process ◽  
Subject Matter ◽  
Significant Relationship ◽  
Teacher Performance ◽  
Teacher Professionalism ◽  
Learning Material ◽  
The Subject ◽  
Performance Development ◽  
Kindergarten Educators ◽  
Academic Qualifications

Performance is the performance shown by educators, both in quality and quantity in carrying out their duties in accordance with the responsibilities given to them professionally. Educator performance development is a very decisive factor in the success of the education and learning process. In fact, in Kindergarten Rayon IV, Dumai City, there is still a low level of competency standards possessed by educators. The intended competency standard is from the standard academic qualifications and four competencies that must be possessed by a kindergarten educator, namely pedagogic, professional, social and personality competencies. This is evidenced by educators not yet mastering learning material with the maximum known when the learning process educators are not able to explain well the subject matter, and educators have not shown maximum performance in carrying out their duties and functions. The purpose of this study was to see whether there was an influence on teacher professionalism on teacher performance in Dumai IV Rayon Kindergarten. The results of the study prove that there is a significant relationship between the professionalism of Kindergarten educators and the performance of educators in Kindergarten Rayon IV, Dumai City. This is evidenced by the value of Sig (2-tailed) professionalism on educator's performance of 0,000, so the calculation shows 0,000 <0.05. This means that Ha is accepted, that is, there is a significant relationship between the professionalism of Kindergarten educators and the Performance of Educators in Kindergarten Rayon IV, Dumai City.

Justine Pila, The Subject Matter of Intellectual Property

2019 ◽  
Vol 23 (1) ◽  
pp. 142-144
Author(s):  
Patrick Masiyakurima
Keyword(s):  
Intellectual Property ◽  
Subject Matter ◽  
The Subject
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