Logic and Mathematics

It is often said to-day that mathematics is nothing but an extension or development of logic; indeed, the identity of logic and pure mathematics is alleged so confidently by persons whose mathematical attainments entitle them to consideration when they talk about the subject-matter of mathematics, as to be in danger of being ranked with the truths that an educated man should accept on the authority of the specialist. Yet a little reflection might at least make one hesitate. For whatever else may be said about logic, it is generally allowed to study thinking. Some would say merely that it studies inference; but inference is thinking. Now the mathematician thinks and infers, but he does not study the activity of thinking and inferring; and a study of that activity would never make the discoveries credited to the mathematicians.

Probability, Computer Simulation, and Mathematics

Mathematics Teacher ◽

10.5951/mt.83.1.0022 ◽

1990 ◽

Vol 83 (1) ◽

pp. 22-25

Author(s):

Karen Doyle Walton

Keyword(s):

Computer Simulation ◽

Problem Solving ◽

Theoretical Analysis ◽

Real World ◽

Empirical Data ◽

Financial Forecasting ◽

State Lotteries ◽

Pure Mathematics ◽

The Subject ◽

Many students fail to recognize the interrelationships among computers, pure mathematics, and the real world. The subject of probability can motivate students to explore various methods of problem solving, combining empirical data, simulations, and theoretical solutions. Probabilistic statements encountered in everyday life (e.g., weather predictions, state lotteries, financial forecasting) are frequently derived from the integration of observation and theoretical analysis.

Are the Notions ‘A Priori Truth’ and ‘Necessary Truth’ Extensionally Equivalent?

Canadian Journal of Philosophy ◽

10.1080/00455091.1974.10716908 ◽

1974 ◽

Vol 3 (4) ◽

pp. 591-602 ◽

Cited By ~ 1

Author(s):

Edward Erwin

Keyword(s):

Subject Matter ◽

A Priori ◽

Analytic Truth ◽

Necessary Truth ◽

The World ◽

Important Sense ◽

The Subject ◽

There is a widely held view that the expressions ‘necessary truth’, ‘a priori truth’ and ‘analytic truth’ either express the same concept or, at least, refer to all and only the same items. Philosophers who hold this view, and who are sometimes described as ‘empiricists’, often draw the conclusion that the truths of logic and mathematics, if necessary, are also a priori and are, in some important sense, empty or not about the world. The subject matter of these disciplines, then, is said to differ in a philosophically important way from that of the empirical sciences, such as physics or chemistry. Rationalists, in contrast, have traditionally held that some a priori truths, either of logic or mathematics (or of some other area), are synthetic and, hence, non-analytic: i.e., there are synthetic a priori truths.

Words

PMLA ◽

10.1017/s003081290013041x ◽

1935 ◽

Vol 50 (4) ◽

pp. 1320-1327

Author(s):

Colbert Searles

Keyword(s):

Subject Matter ◽

Assistant Professor ◽

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.

Transdermal interpretation of the subject matter of behavior analysis.

American Psychologist ◽

10.1037/0003-066x.47.11.1337 ◽

1992 ◽

Vol 47 (11) ◽

pp. 1337-1343 ◽

Cited By ~ 9

Author(s):

Vicki L. Lee

Keyword(s):

Behavior Analysis ◽

Subject Matter ◽

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

Methods of Information in Medicine ◽

10.1055/s-0038-1636361 ◽

1965 ◽

Vol 04 (03) ◽

pp. 112-114 ◽

Cited By ~ 1

Author(s):

H. Zinsser

Keyword(s):

Subject Matter ◽

Medical Information ◽

Central Core ◽

Diagnostic Strategy ◽

Programmed Instruction ◽

Orderly Fashion ◽

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.

Meet fractal curves with 1C:MathKit

Informatics and Education ◽

10.32517/0234-0453-2020-35-3-38-48 ◽

2020 ◽

pp. 38-48

Author(s):

O. M. Korchazhkina

Keyword(s):

Methodological Approach ◽

Fractal Curve ◽

Iterative Processes ◽

Geometric Figures ◽

Modern Natural ◽

Geometric Objects ◽

Ict Tools ◽

Subject Areas ◽

The Subject ◽

The article presents a methodological approach to studying iterative processes in the school course of geometry, by the example of constructing a Koch snowflake fractal curve and calculating a few characteristics of it. The interactive creative environment 1C:MathKit is chosen to visualize the method discussed. By performing repetitive constructions and algebraic calculations using ICT tools, students acquire a steady skill of work with geometric objects of various levels of complexity, comprehend the possibilities of mathematical interpretation of iterative processes in practice, and learn how to understand the dialectical unity between finite and infinite parameters of flat geometric figures. When students are getting familiar with such contradictory concepts and categories, that replenishes their experience of worldview comprehension of the subject areas they study through the concept of “big ideas”. The latter allows them to take a fresh look at the processes in the world around. The article is a matter of interest to schoolteachers of computer science and mathematics, as well as university scholars who teach the course “Concepts of modern natural sciences”.

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

Malaysian Journal of Syariah and Law ◽

10.33102/mjsl.v6i3.81 ◽

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 ◽

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

JURNAL PAJAR (Pendidikan dan Pengajaran) ◽

10.33578/pjr.v3i3.7235 ◽

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.