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Knowledge and Science

By Dr. Rosa Hilda Lora M. Advisor at AIU | rosa@aiu.edu

We are in a world that asks us: What is happening? Let’s look at the thought that has given us many benefits, many answers: Science. Science refers to knowledge. What is knowledge? When we talk about knowledge, we think of other concepts that are related to it, which means close, but don’t define it as such, these concepts are: Believe and Know. Within my bibliographic world I have a job that has always enriched me because few are interested in what they mean: Believe, Know and Know. The work I mention is by Luis Villoro published by Siglo Veinte y Uno- Siglo XXI. It also appears published in 2024, by the Philosophical magazine of the National Autonomous University of Mexico-UNAM.

At first glance it seems that these concepts mean the same thing. By studying them the result clarifies the definition and therefore with the difference we avoid many errors in their use. “If we take Believing in its most general sense, it simply means “to hold a statement to be true” or “to hold a fact to be existing”, to accept the truth and reality of something, without implying that my evidence is sufficient or not”. (Villoro, 2009, p. 15). The situation of belief is clear; I don’t have sufficient evidence for the thought I express. Villoro continues: “A belief is true only if the proposition in which it is expressed is true”. (Villoro, 2009, p. 16). Here Villoro goes to the foundation that Science has in the Logical Principles of the same worked by Aristotle. Stagira, Greece, 384 BC - 322 BC Chalcis, Greece.

Villoro also says that belief is “…an acquired dispositional state that causes a coherent set of responses and that is determined by an apprehended objective object or situation”. (Villoro, 2009, p. 71). What Villoro says is that what we call belief is what we perceive: it is what we independently and without a demonstration as such capture of something that we will call the object of that belief. Regarding Knowledge, Villoro tells us: “Because Wise is not the one who knows many general principles, nor the one who can explain everything through safe theories, but the one who can distinguish in each circumstance the essential behind the appearances, the one who can integrate into a concrete unit the apparent manifestations of an object; wise is also the one who, in each individual situation, can better distinguish what is truly important, and for this he has a more shrewd look than others”. (Villoro, 2009, p. 226).

From the above conceptualization we can effectively differentiate the qualities and attitudes that any human being must have to be called wise. From what is clear from the above definition, being wise doesn’t mean having all possible degrees; being wise is having the ability to see more than what others can determine by their ability to abstract what others can’t extract from the object, whether conceptual or concrete. Now let’s look at what Knowing is: “In short, knowledge in general is a dispositional state to act, acquired, determined by an apprehended objective object or situation, which is accompanied by a sure guarantee of success”. (Villoro. 2009, pp. 220-221). “Science consists of a set of knowledge that can be shared by a given epistemic community: theories, statements that relate them to a domain of objects, statements of observation that can be verified intersubjectively; all of this constitutes a body of propositions founded on objectively sufficient rea sons”. (Villoro, 2009, p. 222). Science is special in that it’s demonstrated and proven in its results.

In Science, other knowledge must also be taken into consideration; a proposal that is divergent from other knowledge can’t be given as part of science. In Science, we are conditioned to consider congruence with other knowledge as obligatory: there is always a relationship with the epistemic community. Clarifying the meaning of concepts that are often used interchangeably to refer to scientific knowledge because it’s said: he is wise because he knows a lot, identifying it with knowing about science, or he knows a lot but doesn’t refer to scientific knowledge that is referred to the epistemic community. We are in a new year, 2025, and we have had many elections of governments, some good and others called “populist”. The big question is: why are there so many reapopulist governments? The neediest are taken, those who have little knowledge of science because they didn’t have the opportunity to study. What is striking is that these governments have it or those who want the money are looking for it. A high percentage of their members even have studies. The surprise is that these studies have remained in a time of science that is already very far away.

Science, in which the Nobel Prizes have been awarded for the last 10 years, is unknown to these people and they want to stay in these paradigms to obtain money, even if they harm the planet, even if they end world peace with hate speech and disinformation. Disinformation goes hand in hand with hate speech because the other human being must be annulled so that no one believes in his or her. We are witnessing situations that don’t involve compliance with Human Rights. For the types of governments, especially the “populist” ones, Education is the tool to keep people subjugated. What is happening with UNESCO’s work for Sustainable Development? What is happening with Article 4 for Sustainable Development regarding Education? UNECO is doing the following: “By mobilizing its thousands of scientific partners around the world, its 194 Member States, its educational institutions and its networks of cultural and natural sites, UNESCO will support the development of initiatives to achieve the objectives of the Decade. All partners, including governments, research institutes, universities, industry, civil societies, the private sector and individuals are called to participate through the development of their own initiatives”. UNESCO launc hes the International Dec ade of Science for Sus tainable Deve lopmen t (2024-2033) 3 Decem ber 2024. https://www.unesco. org/en/articles/unesco-launches-theinternational- decade-of-science-forsustainable- development-2024-2033 It seems that nothing is happening with Education and governments that want their people to remain in the dark are silent about this work. There is also a monitoring of Education in the world, which was done a few months ago. “Based on the United Nations Pact for the Future, GEM 2024 marked a key moment for education, bringing together the international education community, including governmental and non-state actors, to agree on acceleration strategies for the rest of the 2030 Agenda, taking into account the vision of transforming education”.

(GEM Report) The Global Educ ation Monitoring Report. Global Educ ation Mee ting 2024 - 31 October - 1 Novem ber 2024 - Fortaleza, Brazil https://w”ww. unesco.org/sdg4education2030/ en/2024-global-education-meeting What was the objective of this follow-up? “…the Global Education Meeting 2024 convened by UNESCO aimed to foster multilateral, intersectoral and multi-stakeholder dialogue, recognizing education as a social equalizer and a driving force for sustainable development.” Global Educ ation Mee ting 2024. 31 October – 1 Novem ber 2024 – Fortaleza, Brazil. https:// www.unesco.org/sdg4education2030/ en/2024-global-education-meeting What is clear is that the plan of populist governments is to keep the smallest possible population close to science. Given what UNESCO is doing, we are witnessing the work of universities and Scientific Research Centers: greater dissemination of science.

The dissemination of science is one of the objectives of every university. To counteract hate speech and misinformation, there must be greater dissemination of science; you must see what they are doing: • Cambridge and Oxford in England, • The Max Planck Research Institutes - 80 - most of them in Germany, • The University of Leuven in Belgium, • Yale University and The Massachusetts Institute of Technology in the United States, among others. You are doing your study program at Atlantic International University- AIU: when they offer you to do articles for scientific journals this is the reason. Here are the reasons why completing your program at AIU is the way to live in peace and not be used by anyone. Here is the way to be able to work without being offered to give you this or that which is never there; it is only lies. Nowadays, more is published about what research institutions and universities do. Those who want to keep science static and remain in power forever seem to be failing in their objective.

BIBLIOGRAPHY. UNAM. Diánoia- Revista Filosófica. Hurtado, G. (2024). Una relectura de Creer, saber, conocer. Diánoia, 68(93), 233–246. https://doi.org/10.22201/iifs.18704913e.2024.93.2064. https://dianoia.filosoficas.unam.mx/index.php/dianoia/article/ view/2064- noviembre 13-2024 | UNESCO. La UNESCO lanza el Decenio Internacional de la Ciencia para el Desarrollo Sostenible (2024-2033) 3 de diciembre 2024. https://www.unesco.org/es/articles/ la-unesco-lanza-el-decenio-internacional-de-la-ciencia-parael- desarrollo-sostenible-2024-2033 | UNESCO. Reunión Mundial sobre la Educación 2024, 31 de octubre – 1° de noviembre de 2024- Fortaleza, Brasil. https://www.unesco.org/sdg4education2030/ es/2024-global-education-meeting | Villoro, Luis. (2009). Creer, saber y conocer. México. Siglo XXI.

Architecture and Isomorphism: The Conflict between occupants’ behavior and the environmental characteristics of the building

Elvira Mumy Arielle Celina | Doctorate in Architecture | Part 2/2

The principle of isomorphism in architecture and its basic property

The principle of isomorphism in Architecture refers to a great analogy, similarities, and correspondence, the extension of relations between two or many domains, structures, spaces, ecological units, environmental sets or systems. It could be divided into many sets of aspects: the unity of environment, the relations, and the priority of the original ecological unit in creating spaces or in solving architectural problems. Many principles could be identified as aspects of the principle of isomorphism. The principal ones are the principle of correspondence (of structure, relations, operations…), the principle of extension/ continuity, the principle of reciprocal influence, the principle of the strength of the original ecological unit, the principle of constancy, the principle of similarity / similitude.

Understanding the principle of isomorphism in architecture From which aspects of the principle of isomorphism in architecture, appropriate explanation and changes could be stated and realized in order to improve the situation of some created spaces? The main aspects of the principle of isomorphism to be considered when explaining or solving the problems related to created spaces could be divided into categories. Category 1: The relationship between spaces (i) The principle of correspondence; this principle stipulates that when creating spaces or improving the quality of spaces already created (house, building, green space, town…), every pertinent element of the space to be created or to be transformed should have its correspondent in the original space to which the building or created space is related.

(ii) The principle of environmental continuity stipulates that the space to be created is to some extent the continuity of its surrounding space, environment or set of its surrounding spaces; every space is reflecting its surrounding environment. (iii) The principle of reciprocal influence of spaces stipulates that when two or many spaces are near, each of them influences another or the other —and this influence may have a negative or a positive effect on the other (Mum y, 2016). (iv) The principle of similarity / similitude which implies the principle of correspondence, states that, without being identical, the created spaces (house, building, green space, town…) and the original space to which the created space is related have a resemblance, when considering their pertinent characteristics, functions, … (v) The principle of constancy; specifies the importance of maintaining the spaces and the relations inside each of them and the relation between the created spaces (house, building, green space, town…) and the original space in harmony; that principle is materialized through actions and behavior aiming at permanently maintaining created spaces (houses, buildings, green spaces…) and at frequently protecting the environment.

Category 2: the priority of original space in solving and preventing architectural problems (vi) The principle of the strength of original ecological or environmental units: This principle stipulates that when creating spaces or improving the quality of spaces already created, well understanding and taking into consideration the original space and relation would probably be more efficient. The principle of the strength of original ecological or environmental units implies also relationship between spaces; however, it has purposely been classified in another category. Explaining the problems related to the Conflict between occupants’ behavior and the environmental characteristics of the building, from conflicts interspaces in connection with the principle of isomorphism in architecture Two types of spaces are concerned when studying building from the principle of isomorphism in architecture: the initial or original space and the target space that is created or the transformed one. After the definition of each of these spaces and the relationship between the spaces, it might be possible to come out with two possibilities: (i) a congruence situation hypothesis which is a situation of harmony between spaces; (ii) a conflictual situation hypothesis which is a situation of disharmony. In this last hypothesis, the conflictual situation will be a hypothesis stated to explain the problems of buildings and spaces. In this perspective, in order to explain the problems of a specific building from the principle of isomorphism in architecture, we will firstly state the problem to be solved based on the initial data collected; secondly, analyze the situation characterizing the type of relation that exists between spaces; thirdly, state the problem to be solved from the conflict interspaces in connection with the principle of isomorphism in architecture. Defining the problem to be solved from initial data collected From data collected through the first interview with the client, we came out with a set of problems. These problems are grouped in many categories. 1. Climatic characteristics: The problems identified are related to (i) thermal comfort; heat storage; humidity; the residential building is not one that meets up with ventilation requirements; this problem involves also air movement and thermal comfort of the building; (ii) Insufficiency of day lighting.

2. Building Materials used: The problem identified is related to humidity that affects walls and other objects. This problem involves also the durability of building materials. 3. Energy efficiency and water comfort: The problems identified are related to (i) Insufficiency of electrical energy; (ii) Insufficiency of water supply. 4. Relief characteristics of the site: The problem identified is related to structural stability that affects walls and other parts of the building. These data and identified problems of the building were just considered as hypotheses of the situation to be analyzed. Analysis and diagnostic of the situation From the interview with the occupants and the observation of the building, we came out with some data related to the situation to be analyzed. The analysis and diagnostic of the situation consisted of defining the main spaces (the original and target spaces), the different pertinent relations and of identifying the conflict situation to be solved.

Definition of spaces The original space: Defining the original space and its characteristics consists of stating the different pertinent elements of the original space and surroundings. They could involve the relief characteristics of the site, the climatic conditions, building materials, natural sources of energy, resources in terms of water supply and other. The target space: Defining the target space and its characteristics consists of stating the different pertinent elements of the building and its surroundings. They involve the relief characteristics of the site, the climatic characteristics, the building materials used, the sources of energy used and the resources used in terms of water supply. Table 2 present the environmental characteristics of the original space and of the target one. (See Table 2) The different spaces are made up of elements belonging to four subsets corresponding to the four aspects of the environmental characteristics. After the definition of the main spaces, the different pertinent relations are below stated with the intention to identify the conflicting situation to be solved.

Definition of the relationships: different conflicting situations between spaces What relationship exit between elements of original space and of elements of target space? This section is focused on the determination of the relationship between spaces, specifying the original and the reverse relations and identifying from the principle of correspondence or bijective relation, the different conflictual situations within the whole set of relationships between spaces (original space and target space).

1. The relief characteristics of the original space and the relief characteristics of the building Relief characteristics of the site in the original space are mainly made up of hilly landscape and the relief characteristics related to the building is the one of a house on hilly relief. When we considered the original relation; from original space to target space, and the reverse relation: from the target space to the original one, it is easy to observe that there is no conflictual situation. This situation is unlikely to generate a problem related to the structural stability of the building.

2. Climatic characteristics of the original space and Climatic characteristics of the building Climatic characteristics of the original space are mainly made up of heat, humidity; a lot of precipitations and the climatic characteristics related to the building are the one of a house in hot temperate. Even free air movement is very light. Concerning wind access, the building of the project is south west-oriented. From the orientation above stated, it is manifest that the building wind access represents at least 11% of the time. The building has a good orientation. Consequently, the environmental characteristics harmonize with the building characteristics. There is no conflictual situation. The principle of correspondence is taken into consideration. This situation is not likely to induce heat and humidity in the building. 3. Building Materials in the original space and Building Materials in the building The Building Materials in the original space are mainly made up of (clay bricks, stone and cement). The Building Materials used to construct the building is made up of cement blocks, clay bricks, wood) whose quality was quite good. In terms of building materials used the situation of the building is suitable to the environmental characteristics of the original space. This situation that positively affect the comfort the building occupants is not a conflictual situation between the environmental characteristics and the building characteristics. This situation is unlikely to induce heat in the building and problems related to its structural stability. 4. Sources of energy in the original space and sources of energy used in the building The sources of energy available in the original space are made up of solar energy. Electrical energy is very insufficient. The source of energy used in the building is electrical energy. Also, from time to time, solar energy is used. When we considered the original relation (from original space to target space) and the reverse relation (from the target space to the original one), it is easy to observe that there is no conflictual situation. This situation is unlikely to induce problems related to insufficient lighting and energy efficiency in the building.

5. Resources in terms of water in the original space and Resources used in terms of water used in the building The resources in terms of water, available in the original space are mainly made up of water from wells. There is no direct access to water from the national company. The resources in terms of water in the building are made up of rainfall water during rainy seasons, water from pipe-borne water during dry seasons and of water from well from time to time. When we considered the set of relations between the original space and the target space, the situation of the building in terms of water supply is quite in harmony with the environmental characteristics of the original space. This situation of the building that doesn’t conflict with the environmental characteristics is unlikely to cause problems related to insufficient clean water in the building. Referring to the determination of the relationship between spaces and taking into consideration the principle of correspondence or bijective relation to identify the different conflictual situations within the whole set of relationships between spaces (original space and target space), there is no conflictual situation, especially when taking into account the relation between the environmental characteristics and the building characteristics. In order to finally state the problem to be solved, the first step of the analysis must be added to another step that involves the relation between the building occupants’ behavior and the environmental characteristics. The table written below presents the main problems from conflict situations to be solved and taking into consideration the Initial conflict between environmental characteristics and building characteristics as well as the conflict between the occupants’ behavior and the environmental characteristic, stated from data related to the interview with the occupants of the building. The main problems of the house to be solved are related to (i) structural stability (ii) lighting (iii) heat storage and ventilation (iv) humidity in the building (v) energy efficiency (vi) clean water (vii) acoustics problems. (See Table 3)

Comment 1. Initial conflict between environmental characteristics and building characteristics i. Structural stability: inexistent initial conflict between environmental characteristics and building characteristics ii. Lighting: inexistent initial conflict between environmental characteristics and building characteristics iii. Heat storage and ventilation: inexistent initial conflict between environmental characteristics and building characteristics iv. Humidity in the building: inexistent initial conflict between environmental characteristics and building characteristics v. Energy efficiency: inexistent initial conflict between environmental characteristics and building characteristics vi. Clean water: inexistent initial conflict between environmental characteristics and building characteristics vii. Acoustics problems: Light Initial conflict between environmental characteristics and building characteristics 2. Conflict between the building occupants’ behavior and the environmental characteristics i. Structural stability: High Conflict between the occupants’ behavior and the environmental characteristics (Very often human behavior and activities consisting of destroying herbs and discharging wastewater have negative influence on the Structural stability of the house); ii. Lighting: High Conflict between the occupants’ behavior and the environmental characteristics (even on day times, all the openings are closed.) iii. Heat storage and ventilation: High Conflict between occupants’ behavior and environmental characteristics (even on day times, most of the openings are closed); iv. Humidity in the building: High Conflict between the occupants’ behavior and the environmental characteristics (even on day times, most of the openings are closed; sometimes people pour water on some walls); v. Energy efficiency: High Conflict between the occupants ‘behavior and the environmental characteristics (they have given energy to occupants of another residential building, probably increasing energy inefficiency of the building); vi. Clean water: High Conflict between the occupants’ behavior and the environmental characteristics (waste of clean water); vii. Acoustics problems: High Conflict between the occupants’ behavior and the environmental characteristics (very often some occupants of the building and near-by buildings are noisy and don’t often consider the rights of others).

To sum up, concerning the initial relation between the environmental characteristics and the building characteristics, the conflict is either light or quite inexistent. In contrary, there is a high conflict between occupants’ behavior and environmental characteristics. From the analysis of these data, the final statement of the problem to be solved could be formulated. Defining the final problem to be solved The main conflictual situations are related to aspects such as the durability of materials used for construction, the suitability of building materials and equipment to the climate and to the environment (wood, soil, wind, water, solar energy…), Recycling of resources, Conservation of resources, Day lighting, Openings, air movement, heat storage, structural stability, location of the house and acoustics problems. All these problems result from the conflict interspaces. In other words, the conflict between occupants’ behavior and the environmental characteristics of the building negatively impact on the building and the comfort of his occupants. Solving these conflictual situations corresponds to solving the problems related to the Conflict between occupants’ behavior and the environmental characteristics of the building from conflicts interspaces in connection with the principle of isomorphism in architecture and in the context of environmental design (Elvira Mum y, 2016).

Conclusion This study was realized in a global context of increasingly rapid human need of reducing the gap between human activities and the environment. From the increasing human need of improving the way of resolving the housing problem in the world, the study aimed at explaining and solving the problems related to the Conflict between occupants’ behavior and the environmental characteristics of the building, from conflicts interspaces in connection with the principle of isomorphism in architecture and in the context of environmental design. Based on a theoretical framework focused on the concept of isomorphism in architecture, ecological design, the principles of physics and people’s behavior in a building, as well as on the theory of linear spaces in relation to architecture, we came out with a set of pertinent results. After the analysis of the architectural problem situation to be solved, and referring to the principle of correspondence that mainly characterized the principle or isomorphism in architecture, the different conflict situations within the whole set of relations between spaces (original space and target space) in general and specifically between occupants’ behavior and environmental characteristics were stated. The main problems of the specific building to be solved were related to Structural stability, Lighting, Heat storage and ventilation, Humidity in the building, Energy efficiency, clean water and Acoustics problems. These problems were due to conflict situations between spaces. To conclude, the study revealed that in the context of ecological design, “conflicts between spaces” in connection with the principle of isomorphism in architecture, could be used to explain as well as to prevent problems of buildings. To specify this final statement, the conflict between occupants’ behavior and the environmental characteristics of the building negatively impacts on the building and the comfort of his occupants. THE END

REFERENCES. Agoshkov, V.I., Dubovsky, P.B., Shutiaye, V.P. (2006). Methods for solving Mathematical Physics Problems, Cambridge International Science Pub. | Akadiri P. O., Chinyio E. A. and Olomolaiye P. O. (2012). Design of a Sustainable Building: A Conceptual Framework for Implementing Sustainability in the Building Sector. In Buildings 2012, 2, 126-152; Retrieved from: https://www.mdpi.com/2075-5309/2/2/126 | Aposporos, D. (2012). Constructive Move. Old House Journal, 16-18. Balocco, C., Grazzini, G. (2010). Cool Power: Natural Ventilation Systems in Historic Building In Energy Science, Engineering and Technology Senes, New York: Nova Science Publishers, Inc. | Bokalders, V., Block, M. (2010).The Whole Building Handbook: How to design Healthy, Efficient and sustainable Buildings. London: Rout ledge. | Crawford, R. (2011). Life cycle Assessment in the Built Environment. London: Rout ledge. | Dovilė Šorytė & Vilmantė Pakalniškienė (2019). Why it is important to protect the environment: reasons given by children. In International Research in Geographical and Environmental Education, DOI: 10.1080/10382046.2019.1582771. Retrieved from: https://www.researchgate. net/publication/331632993_Why_it_is_important_to_protect_the_environment_ reasons_given_by_children | Elvira Mumy, A. (2016). Architecture centered on the principle of isomorphism in the context of environmental design and human dwelling. Renewing a building from the principle of isomorphism. A Thesis presented in partial fulfillment of the requirements for the degree of Master of Science in Architecture. Atlantic International University. Honolulu, Hawaii. Summer, 2016. | Pankov, M. (2010). Grassmannians of classical Buildings. In algebra and Discreet. Mathematics. Singapore: world Scientific. | Piotrowich, L. & Osgood, S. (2009). Building Science 101. Save money, energy and resources by getting a better understanding of how your building works. American Libraries. 40, issue 4, 56-58. | Random House Kernerman Webster’s College Dictionary (2016). Retrieved from: http://www.thefreedictionary.com/isomorphism | Roth ( 2017). Building In Harmony With Nature. From https://www.roth.com.au/ blog/ building-in-harmony-with-nature/ | Santamouris, M. (2006). Environmental design of Urban Buildings: an Integrated Approach, Earthscan. | Sayigh, A; (2014).Sustainability, Energy and Architecture: Case studies in Realizing Green Buildings. Oxford, UK: Academic Press. | Sendzimir, J., Bradley, G.G (2002). Construction Ecology: Nature as the Basis for the Green Buildings. New York: Spon Press 2002. | Tabb, P., Devine, A. S (2013). The Greening of Architecture. Burlington IT: Ash gate. | Timmermans, B. (2012). Prehistory of the concept of Mathematical Structure: Isomorphism between Group Theory, Crystallography, and Philosophy. In Mathematical Intelligencer. Springer science & Business Media. LLC, Volume 34, number 3, 2012. P41-54. | Yellamraju, V. (2011). LEED–new Construction Project Management. In McGraw-Hills Green source series. New York: McGraw-Hill.

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