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Journal articles on the topic 'Venn Diagrams'

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Published: 4 June 2021

Last updated: 28 July 2024

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1

Evans, Crystal, Gregory Evans, Lorin Mayo, and Tammy Corcoran. "Statistically Validating a Theory Represented by a Venn Diagram." Electronic Journal of Business Research Methods 22, no. 1 (March 18, 2024): 13–25. http://dx.doi.org/10.34190/ejbrm.22.1.2966.

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To date, there has been no proposed method to statistically validate Venn diagrams. We seek to correct this shortcoming. This paper is a review of a proposed method that offers the possibility of statistically validating Venn diagrams through the lens of the management vs. leadership debate in business. Through this research, we demonstrate a way to statistically validate Venn diagrams by using a modified method of exploratory factor analysis (EFA). First, when performing EFA to validate a Venn, we suggest the scree plot of eigenvalues will indicate how many circles should be in the diagram. Additionally, when normally conducting EFA, cross-loaded items are removed. However, when using EFA to validate a Venn, we propose items that cross load should be retained and placed in the corresponding intersection of the two (or more) circles of the diagram. Applying this method to a sample of 431 (n=431) employees aged 25 years or older, we created a statistically validated Venn diagram that identifies those skills that are uniquely management, uniquely leadership, and the overlap as reported by employees. As a result, this research provides scholars with the opportunity to classify actions as leadership or management based on their placement within the statistically validated Venn diagram of management skills and leadership skills. Importantly, through the application of this new research method, we bring the possibility of statistical confirmation to many of our social science theories that are represented by Venn diagrams. In the Discussion section, we offer a critique of possible limitations of the method and mistakes that researchers can make when applying this method.

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2

Edwards, A. W. F. "Euler Diagrams and Venn Diagrams." Mathematical Intelligencer 28, no. 3 (June 2006): 3. http://dx.doi.org/10.1007/bf02986874.

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3

Fossa, John Andrew. "Aspectos da Lógica de Leonhard Euler/Aspects of Leonhard Euler´s Logic." Pensando - Revista de Filosofia 6, no. 12 (July 28, 2015): 214. http://dx.doi.org/10.26694/pensando.v6i12.3182.

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Investigamos a lógica de Leonhard Euler com ênfase no papel dos “diagramas de Euler”. Concluímos que os referidos diagramas constituem um instrumento intuitivo, embora não sistemático, para determinar validade na silogística tradicional, isto é, a silogística munida de implicações conversacionais (importância existencial). Nisto, contrastam-se com os diagramas de Venn que constituem um instrumento sistemático, porém menos intuitivo, para determinar validade numa silogística mais voltada para os fundamentos da matemática moderna.Abstract: We investigate the logic of Leonhard Euler, giving emphasis to the role of “Euler diagrams”. We conclude that these diagrams are an intuitive, non-systematic instrument for determining validity in the traditional syllogistic, that is, the syllogistic furnished with conversational implications (existential import). In this regard, they contrast with Venn diagrams which are a systematic, less intuitive instrument for determining validity in a syllogistic more appropriate for the foundation of modern mathematics. Keywords: History of Logic. Leonhard Euler. Euler Diagrams. Venn Diagrams.

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4

Nurfidah Dwitiyanti, Erlin Windia Ambarsari, and Nunu Kustian. "INTERPRETASI BASIS DATA DENGAN PENDEKATAN TABULASI SILANG UNTUK PEMETAAN DIAGRAM VENN." Jurnal Publikasi Teknik Informatika 1, no. 2 (June 1, 2022): 81–89. http://dx.doi.org/10.55606/jupti.v1i2.345.

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Venn diagrams group data sets based on relations, either in the form of combined or slice sets. Venn Diagram mapping occurs when there are interrelated data sets. Weaknesses Venn diagrams do not show interconnected data, such as how many data records come from sorting Query data. In this study, cross-tabulation supports indicating related data in the database, making a Venn Diagram. This research uses cross-tabulation results to facilitate Venn Diagram mapping in database exploration. The variable used as experimental material is student test scores. Database interpretation has evidenced cross-tabulation to map Venn Diagram by separating Grade levels. The breakdown of Grade levels makes it easier to understand the visualization of data in the Venn Diagram. Merging Assignments, UTS, and UAS workable if they have the same goal, referring to the Grade as the data centre. The results obtained that the Grade value with the highest achievement is A-. Assignments worth >= 81.5 by 41%, UTS between values of 73-85.5 by 21%, and UAS between values of 77.5-82.5 by 24%.

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5

EDWARDS, A. W. F., and J. H. EDWARDS. "Metrical Venn diagrams." Annals of Human Genetics 56, no. 1 (January 1992): 71–75. http://dx.doi.org/10.1111/j.1469-1809.1992.tb01130.x.

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6

Chehlarova, Toni. "Visualization of steam with Venn diagrams." Symmetry: Culture and Science 35, no. 2 (2024): 119–25. http://dx.doi.org/10.26830/symmetry_2024_2_119.

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An understanding of STEM and STEAM and their visualization through Venn diagrams are presented. For the visualization of a Venn diagram of 5 groups, Grünbaum's idea with application of rotational symmetry of a curve is used. Several embodiments are described.

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7

Muzika-Dizdarevic, Manuela, and Rade Zivaljevic. "Hamiltonian surfaces in the 4-cube, 4-bit gray codes and Venn diagrams." Publications de l'Institut Math?matique (Belgrade) 111, no. 125 (2022): 17–40. http://dx.doi.org/10.2298/pim2225017m.

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We study Hamiltonian surfaces in the d-dimensional cube Id as intermediate objects useful for comparative analysis of Venn diagrams and Gray cycles. In particular we emphasize the importance of 0-Hamiltonian spheres and the "sphericity" of Gray odes in the context of reducible Venn diagrams. For illustration we show that precisely two, out of the nine known types of 4-bit Gray cycles, are not spherical. The unique, balanced Gray cycle is spherical, which in turn leads to a new construction of a reducible Venn diagram with 5 ellipses (originally constructed by P. Hamburger and R.E. Pippert).

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8

Kimmins, Dovie L., and J. Jeremy Winters. "Caution: Venn Diagrams Ahead!" Teaching Children Mathematics 21, no. 8 (April 2015): 484–93. http://dx.doi.org/10.5951/teacchilmath.21.8.0484.

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9

Fisher, J. Chris, E. L. Koh, and Branko Grünbaum. "Diagrams Venn and How." Mathematics Magazine 61, no. 1 (February 1, 1988): 36. http://dx.doi.org/10.2307/2690329.

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10

Fisher, J. Chris, E. L. Koh, and Branko Grünbaum. "Diagrams Venn and How." Mathematics Magazine 61, no. 1 (February 1988): 36–40. http://dx.doi.org/10.1080/0025570x.1988.11977343.

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11

Pakula, Lewis. "A Note on Venn Diagrams." American Mathematical Monthly 96, no. 1 (January 1989): 38. http://dx.doi.org/10.2307/2323254.

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12

McMaster, T. B. M. "Venn Diagrams: a Combinatorial Comment." Irish Mathematical Society Bulletin 0023 (1989): 52–56. http://dx.doi.org/10.33232/bims.0023.52.56.

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13

Waddell Jr., Glenn, and Robert J. Quinn. "Two Applications of Venn Diagrams." Teaching Statistics 33, no. 2 (April 6, 2011): 46–48. http://dx.doi.org/10.1111/j.1467-9639.2010.00428.x.

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14

Luick, Bret. "Venn Diagrams: JNEB Figures Research." Journal of Nutrition Education and Behavior 47, no. 3 (May 2015): 195. http://dx.doi.org/10.1016/j.jneb.2015.03.010.

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15

Edwards, A. W. F. "Erroneous Euler and Venn Diagrams." Mathematical Intelligencer 31, no. 2 (March 19, 2009): 2–4. http://dx.doi.org/10.1007/s00283-009-9029-y.

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16

Mamakani, Khalegh, Wendy Myrvold, and Frank Ruskey. "Generating simple convex Venn diagrams." Journal of Discrete Algorithms 16 (October 2012): 270–86. http://dx.doi.org/10.1016/j.jda.2012.04.013.

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17

Pakula, Lewis. "A Note on Venn Diagrams." American Mathematical Monthly 96, no. 1 (January 1989): 38–39. http://dx.doi.org/10.1080/00029890.1989.11972142.

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18

Sapolsky, Robert M., Elicia A. Morrow, and Geoffrey C. Tombaugh. "Venn diagrams and neuronal vulnerability." Neurobiology of Aging 10, no. 5 (September 1989): 613–14. http://dx.doi.org/10.1016/0197-4580(89)90150-4.

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19

Hulsen, Tim. "BioVenn – an R and Python package for the comparison and visualization of biological lists using area-proportional Venn diagrams." Data Science 4, no. 1 (May 21, 2021): 51–61. http://dx.doi.org/10.3233/ds-210032.

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One of the most popular methods to visualize the overlap and differences between data sets is the Venn diagram. Venn diagrams are especially useful when they are ‘area-proportional’ i.e. the sizes of the circles and the overlaps correspond to the sizes of the data sets. In 2007, the BioVenn web interface was launched, which is being used by many researchers. However, this web implementation requires users to copy and paste (or upload) lists of IDs into the web browser, which is not always convenient and makes it difficult for researchers to create Venn diagrams ‘in batch’, or to automatically update the diagram when the source data changes. This is only possible by using software such as R or Python. This paper describes the BioVenn R and Python packages, which are very easy-to-use packages that can generate accurate area-proportional Venn diagrams of two or three circles directly from lists of (biological) IDs. The only required input is two or three lists of IDs. Optional parameters include the main title, the subtitle, the printing of absolute numbers or percentages within the diagram, colors and fonts. The function can show the diagram on the screen, or it can export the diagram in one of the supported file formats. The function also returns all thirteen lists. The BioVenn R package and Python package were created for biological IDs, but they can be used for other IDs as well. Finally, BioVenn can map Affymetrix and EntrezGene to Ensembl IDs. The BioVenn R package is available in the CRAN repository, and can be installed by running ‘install.packages(“BioVenn”)’. The BioVenn Python package is available in the PyPI repository, and can be installed by running ‘pip install BioVenn’. The BioVenn web interface remains available at https://www.biovenn.nl.

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20

Mironova, Yu. "Generalized Euler-Venn Diagrams for Fuzzy Sets." Geometry & Graphics 7, no. 4 (February 27, 2020): 34–43. http://dx.doi.org/10.12737/2308-4898-2020-34-43.

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The fuzzy set concept is often used in solution of problems in which the initial data is difficult or impossible to represent in the form of specific numbers or sets. Geo-information objects are distinguished by their uncertainty, their characteristics are often vague and have some error. Therefore, in the study of such objects is introduced the concept of "fuzziness" — fuzzy sets, fuzzy logic, linguistic variables, etc. The fuzzy set concept is given in the form of membership function. An ordinary set is a special case of a fuzzy one. If we consider a fuzzy object on the map, for example, a lake that changes its shape depending on the time of year, we can build up for it a characteristic function from two variables (the object’s points coordinates) and put a certain number in accordance with each point of the object. That is, we can describe a fuzzy set using its two-dimensional graphical image. Thus, we obtain an approximate view of a surface z = μ(x, y) in three-dimensional space. Let us now draw planes parallel to the plane. We’ll obtain intersections of our surface with these planes at 0 ≤ z ≤ 1. Let's call them as isolines. By projecting these isolines on the OXY plane, we’ll obtain an image of our fuzzy set with an indication of intermediate values μ(x, y) linked to the set’s points coordinates. So we’ll construct generalized Euler — Venn diagrams which are a generalization of well-known Euler — Venn diagrams for ordinary sets. Let's consider representations of operations on fuzzy sets A a n d B. Th e y u s u a l l y t a k e : μA B = min (μA,μB ), μA B = max (μA,μB ), μA = 1 − μA. Algebraic operations on fuzzy sets are defined as follows: μ A B x μ A x μ B x ( ) = ( ) + ( ) − −μ A (x)μ B (x), μ A B x μ A x μ B x ( ) = ( ) ( ), μ A (x) = 1 − μ A (x). Let's construct for a particular problem a generalized Euler — Venn diagram corresponding to it, and solve subtasks graphically, using operations on fuzzy sets, operations of intersection and integrating of the diagram’s bars.

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21

Nair B J, Bipin, and Sarath M S. "Evolutionary clustering annotation of ortho-paralogous gene in a multi species using Venn diagram visualization." International Journal of Engineering & Technology 7, no. 1.9 (March 1, 2018): 162. http://dx.doi.org/10.14419/ijet.v7i1.9.9755.

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The evolutionary analysis of the genome of the immediate cluster is an important part of comparative genomics research. Identifying the overlap between immediate homologous clusters allows us to elucidate the function and evolution of proteins between species. Here, we report a network platform called Ortho-paralogous Venn-diagram representation that can be used to compare and visualize a wide range of ortho-paralogous clustering of genomes. In our work Ortho-paralogous Venn-diagram results show a functional summary of interactive Venn diagrams, summary counts, and interspecies shared cluster separations and intersections. Ortho-paralogous Venn-diagram also uses a variety of sequence analysis tools to gain an in-depth understanding of the cluster. In addition, Ortho-paralogous Venn identifies direct homologous clusters of single copy genes and allows custom search of specific gene clusters. It enables us in wide analysis of the genes and protein by comparing the genes using Venn diagram .Here the user can upload our own gene sequences into the application ,using three clustering approach to check the best clustering approches like SOM,K-means and advanced clustering after that we are using the Venn diagram repersentator to evolutionary cluster the genes having similar functionality and structural similarity from the uploaded data.Here we are using a venn diagram representation as an application which used to cluster the orthologous and paralogous gene on basics of their evolution and functional aspects.it enables us in wide analysis of the genes and protein bycomparing the genes using venn diagram representation.here the user can upload our own gene sequences into the application where the venn diagram representatorclusters.the genes having similar functionality and structural similarity from the uploaded data.

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22

Meulen, Ross Vander. "Using Venn Diagrams to Represent Meaning." Die Unterrichtspraxis / Teaching German 23, no. 1 (1990): 61. http://dx.doi.org/10.2307/3529958.

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23

Humphries, Mike. "71.11 Venn Diagrams Using Convex Sets." Mathematical Gazette 71, no. 455 (March 1987): 59. http://dx.doi.org/10.2307/3616295.

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24

Gilder, J. "73.8 Venn Diagrams and Grazing Goats." Mathematical Gazette 73, no. 463 (March 1989): 36. http://dx.doi.org/10.2307/3618207.

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25

Fleig-Palmer, Michelle M., Kay A. Hodge, and Janet L. Lear. "Teaching Ethical Reasoning Using Venn Diagrams." Journal of Business Ethics Education 9 (2012): 325–42. http://dx.doi.org/10.5840/jbee2012916.

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26

Anderson, O. D. "How many Venn diagrams are there?" International Journal of Mathematical Education in Science and Technology 19, no. 2 (March 1988): 299–305. http://dx.doi.org/10.1080/0020739880190208.

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27

Burgess‐Jackson, Keith. "Teaching Legal Theory with Venn Diagrams." Metaphilosophy 29, no. 3 (July 1998): 159–77. http://dx.doi.org/10.1111/1467-9973.00088.

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28

Rardin, Patrick. "On Learning to See Venn Diagrams." Teaching Philosophy 18, no. 3 (1995): 229–44. http://dx.doi.org/10.5840/teachphil199518335.

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29

Winkler, Peter. "Puzzled: Where sets meet (Venn diagrams)." Communications of the ACM 55, no. 2 (February 2012): 128. http://dx.doi.org/10.1145/2076450.2076475.

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30

Ruskey, Frank, and Mark Weston. "More Fun with Symmetric Venn Diagrams." Theory of Computing Systems 39, no. 3 (July 13, 2005): 413–23. http://dx.doi.org/10.1007/s00224-005-1243-1.

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31

Susanto, Ferri. "The Effect Of �The Venn Diagram� As A Cooperative Learning Strategy to Improve Reading Comprehension in Legal Description Texts During the Covid-19 Pandemic Period." Edu-Ling: Journal of English Education and Linguistics 5, no. 1 (December 31, 2021): 80. http://dx.doi.org/10.32663/edu-ling.v5i1.2524.

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The research was to find the simple effect of a graphic organizer which is one of the cooperative learning strategies by using Venn diagrams to improve reading comprehension of descriptive texts in English class for Law IAIN Bengkulu. The Venn Diagram has a positive effect on students. The research is Quays experimental with a non-equivalent control group design in English Specific Purpose for Law. The populations were second-semester students of the Faculty of Law. They are class A consisting of 16 students as an experimental class (international class) and class B consisting of 16 students (international class) as a control class. The totality sample is used, the researcher took the sixth step, namely; first, students were given Pre-Test for both classes to determine the experimental and the control class. Second, giving treatment for three meetings in the experimental and control classes. Third, the researcher conducted a Post-Test, in the experimental and control classes to determine the effect of the Venn Diagram. Fourth, the researcher analyzed the test using the assessment criteria. Fifth, the researcher used the t-test formula to determine the significance of the use of it from the experimental class. Sixth discusses conclusions based on the data. The results indicate that Venn Diagrams can improve students' understanding of reading descriptive texts. It can be seen after being calculated by the T-test formula that the T-Count is higher than the T-table (2.25 > 2.0423) and the average value of the two classes increased by about 9.68 points for the experimental class and 2.19 points for the control class that it has a positive effect on students' law. Furthermore, suggested that the Venn diagram is applied by students for reading comprehension.

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32

Bulanov, N. М., O. B. Blyuss, D. B. Munblit, T. V. Nazarenko, D. V. Butnaru, M. Yu Nadinskaia, and A. A. Zaikin. "Venn diagrams and probability in clinical research." Sechenov Medical Journal 11, no. 4 (April 25, 2021): 5–14. http://dx.doi.org/10.47093/2218-7332.2020.11.4.5-14.

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33

Blaum, M., and J. Bruck. "Decoding the Golay code with Venn diagrams." IEEE Transactions on Information Theory 36, no. 4 (July 1990): 906–10. http://dx.doi.org/10.1109/18.53756.

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34

Bush, Sarah B., Karen S. Karp, Tova Lentz, and Jennifer Nadler. "When Venn Diagrams Intersect Art & Math." Teaching Children Mathematics 23, no. 7 (March 2017): 414–21. http://dx.doi.org/10.5951/teacchilmath.23.7.0414.

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35

Witonsky, Abe. "A Rationale for Teaching Modified Venn Diagrams." Teaching Philosophy 24, no. 2 (2001): 111–19. http://dx.doi.org/10.5840/teachphil200124223.

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36

Gunstone, Richard F., and Richard T. White. "Assessing understanding by means of venn diagrams." Science Education 70, no. 2 (April 1986): 151–58. http://dx.doi.org/10.1002/sce.3730700209.

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37

Kharazishvili, Alexander, and Tengiz Tetunashvili. "On Some Combinatorial Problems Concerning Geometrical Realizations of Finite and Infinite Families of Sets." gmj 15, no. 4 (December 2008): 665–75. http://dx.doi.org/10.1515/gmj.2008.665.

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Abstract A version of the precise definition of Euler–Venn diagram for a given family of subsets of a universal set is presented. Certain geometrical properties of such diagrams are discussed and close connections with purely combinatorial problems and with the theory of convex sets are indicated. In particular, some geometrical realizations of uncountable independent families of sets are considered.

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38

Howse, John, Gem Stapleton, and John Taylor. "Spider Diagrams." LMS Journal of Computation and Mathematics 8 (2005): 145–94. http://dx.doi.org/10.1112/s1461157000000942.

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AbstractThe use of diagrams in mathematics has traditionally been restricted to guiding intuition and communication. With rare exceptions such as Peirce's alpha and beta systems, purely diagrammatic formal reasoning has not been in the mathematician's or logician's toolkit. This paper develops a purely diagrammatic reasoning system of “spider diagrams” that builds on Euler, Venn and Peirce diagrams. The system is known to be expressively equivalent to first-order monadic logic with equality. Two levels of diagrammatic syntax have been developed: an ‘abstract’ syntax that captures the structure of diagrams, and a ‘concrete’ syntax that captures topological properties of drawn diagrams. A number of simple diagrammatic transformation rules are given, and the resulting reasoning system is shown to be sound and complete.

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39

Leszczynski, Eliza, Mika Munakata, Jessica M. Evans, and Francesca Pizzigoni. "Integrating Mathematics and Science: Ecology and Venn Diagrams." Mathematics Teaching in the Middle School 20, no. 2 (September 2014): 90–97. http://dx.doi.org/10.5951/mathteacmiddscho.20.2.0090.

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Lin, Dennis K. J., and Amy W. Lam. "Connections Between Two-Level Factorials and Venn Diagrams." American Statistician 51, no. 1 (February 1997): 49. http://dx.doi.org/10.2307/2684694.

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Lin, Dennis K. J., and Amy W. Lam. "Connections between Two-Level Factorials and Venn Diagrams." American Statistician 51, no. 1 (February 1997): 49–51. http://dx.doi.org/10.1080/00031305.1997.10473588.

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42

Chow, Stirling, and Frank Ruskey. "Minimum Area Venn Diagrams Whose Curves Are Polyominoes." Mathematics Magazine 80, no. 2 (April 2007): 91–103. http://dx.doi.org/10.1080/0025570x.2007.11953462.

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43

Pérez-Silva, José G., Miguel Araujo-Voces, and Víctor Quesada. "nVenn: generalized, quasi-proportional Venn and Euler diagrams." Bioinformatics 34, no. 13 (February 23, 2018): 2322–24. http://dx.doi.org/10.1093/bioinformatics/bty109.

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44

Hamburger, Peter. "Doodles and doilies, non-simple symmetric Venn diagrams." Discrete Mathematics 257, no. 2-3 (November 2002): 423–39. http://dx.doi.org/10.1016/s0012-365x(02)00441-7.

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45

Pham, Hoang, and David W. Twigg. "A note on the Venn and Ben diagrams." Microelectronics Reliability 32, no. 3 (March 1992): 433–37. http://dx.doi.org/10.1016/0026-2714(92)90073-t.

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46

Chilakamarri, Kiran B., Peter Hamburger, and Raymond E. Pippert. "Hamilton Cycles in Planar Graphs and Venn Diagrams." Journal of Combinatorial Theory, Series B 67, no. 2 (July 1996): 296–303. http://dx.doi.org/10.1006/jctb.1996.0047.

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47

GIL, JOSEPH (YOSSI), JOHN HOWSE, and ELENA TULCHINSKY. "Positive Semantics of Projections in Venn–Euler Diagrams." Journal of Visual Languages & Computing 13, no. 2 (April 2002): 197–227. http://dx.doi.org/10.1006/jvlc.2000.0199.

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48

Luz, Saturnino, and Masood Masoodian. "A comparison of linear and mosaic diagrams for set visualization." Information Visualization 18, no. 3 (February 7, 2018): 297–310. http://dx.doi.org/10.1177/1473871618754343.

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Linear diagrams have been shown to compare favourably to better known forms of set visualization, such as Venn and Euler diagrams, in supporting non-interactive assessment of set relationships. Recent studies that compared several variants of linear diagrams have demonstrated that users perform best at tasks involving identification of intersections, disjointness and subsets when using a horizontally drawn linear diagram with thin lines representing sets and employing vertical lines as guide lines. The essential visual task the user needs to perform in order to interpret this kind of diagram is vertical alignment of parallel lines and detection of overlaps. Space-filling mosaic diagrams which support this same visual task have been used in other applications, such as the visualization of schedules of activities, where they have been shown to be superior to linear Gantt charts. In this article, we present an experimental comparison of linear and mosaic diagrams for visualization of set relationships, in terms of accuracy, time-to-answer and subjective ratings of perceived task difficulty. The findings show that the two visualizations are largely similar with respect to these measures, suggesting that the choice of one or the other may be solely guided by other visual design considerations. Mosaic diagrams might be more suitable, for instance, in cases where miniature diagrams representing overviews of relations in different collections of sets are required, such as in small-multiples displays.

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49

Kimpton, Anthony. "Upset diagrams for examining whether parking maximums influence modal choice and car holdings." Environment and Planning A: Economy and Space 52, no. 6 (November 22, 2019): 1023–26. http://dx.doi.org/10.1177/0308518x19890871.

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Venn and Euler diagrams can provide researchers and practitioners with a quick visual summary of information that is relevant for evaluating policy, but given that the potential number of intersections grows exponentially relative to sets of information (2 n – 1), diagrams featuring more than three sets of information are typically difficult to interpret from a two-dimensional medium (i.e. reports or articles). In contrast, upset diagrams arrange sets and intersections on a matrix. Thus, the potential number of intersections grows linearly, and further information (e.g. histograms and boxplots) can be aligned vertically or horizontally to this matrix. To demonstrate this application, seven commuter modal choices, two car-parking policies, car holdings and country of birth will be visualised using an upset diagram to evaluate whether a parking-maximums policy reform in Brisbane, Australia, is reducing car ownership and dependence.

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50

Черкашина, Оксана Викторовна. "Logical diagrams for propositions about relations." Логико-философские штудии, no. 3 (November 30, 2022): 266–74. http://dx.doi.org/10.52119/lphs.2022.60.38.004.

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Предлагаемые диаграммы позволяют иллюстрировать и выявлять логичеграммы. Данные диаграммы сходны с кругами Эйлера, но имеют дело с высказываниями об отношениях, а не непосредственно с множествами. Выявляемые логические отношения включают контрадикторность, контрарность, субконтрарность, подчинение. Предлагаемые диаграммы позволяют обосновать вывод о наличии между высказываниями отношения независимости, что при использовании других логических систем представляет известные трудности; выявить, в связи с чем высказывания совместимы или несовместимы по истинности и по ложности. The proposed diagrams allow to illustrate and discover logical relations between propositions about n-place relations, where n is any natural number larger than 1, the same number throughout the diagram. The discovered relations include contradiction, contrariety, subcontrariety, and subalternation. The diagrams are similar to Venn diagrams, but are intended for propositions about relations, not for sets as such. The diagrams allow to justify conclusions about independence (unconnectedness) relations between propositions, a task that meets with certain difficulties when using other logical systems. The diagrams allow to discover what makes the propositions in question capable - or incapable - of being true together, or false together.

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