en:ars_combinatoria

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en:ars_combinatoria [2024/04/03 17:10] – brahmantraen:ars_combinatoria [2024/07/29 10:38] () – brahmantra
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 ====== ARS COMBINATORIA ====== ====== ARS COMBINATORIA ======
  
-^ HINDI  ^  symbol  ^  Symbol Name  ^ Meaning / definition                         ^  Example                 ^ 
-|        |  n!      |  factorial    |  n! = 1⋅2⋅3⋅...⋅n                            |  5! = 1⋅2⋅3⋅4⋅5 = 120    | 
-|        |  nPk     |  permutation  |  _{n}P_{k}=\frac{n!}{(n-k)!}                 |  5P3 = 5! / (5-3)! = 60  | 
-|        |  nCk     |  combination  |  _{n}C_{k}=\binom{n}{k}=\frac{n!}{k!(n-k)!}  |  5C3 = 5!/[3!(5-3)!]=10  | 
  
  
  
 +{{https://catholicexchange.com/wp-content/uploads/2008/10/figure2.jpg}}
  
-  * Art of combinations and permutations. We can get 3 combinations with 2 objects. lets suppose we have 2 objects called {A , B } , we can get 3 combinations with repetition of AA , BB and one the real combination AB .  
  
-  * When we have 3 objects {A,B,C) and you choose only two objects to make those combinations you will get 6 Combinations with repetition {AA,AB/BA,AC/CA,BB,BC/CB,CC } and without repetition you will get only 3 { AB/BA,AC/CA,BC/CB }  
  
 +===== ART OF COMBINATIONS WITH RESPECT TO CONFIGURATIONS  =====
  
 +  * [[:en:essence_combinations | Essence combinations ]]
 +  * [[:en:essence_organization | essence organization ]]  
 +    * [[:en:homologous_configurations | Homologous configurations ]] 
 +    * [[:en:analogous_configurations | Analogous configurations ]]
 +  * [[:en:energy_essence_combinations | Energy essence combinations ]]
  
-    * [[:en:abstract_levels | CONFIGURATIONAL LEVELS ]] + 
-      * [[:en:uniplex|UNIPLEX CONFIGURATIONS]] + 
-      * [[:en:duplex | DUPLEX ]] +  * [[:en:dimensional_combinations|DIMENSIONAL COMBINATIONS]] 
-      * [[:en:multiplex | MULTIPLEX ]] +  
-    * [[:en:dictionary:arrow_semantograms| ARROW  ]] + 
 + 
 + 
 + 
 + 
 +**Does perfect linear objects exist in reality at subatomic level** 
 + 
 + 
 +No, perfect linear objects don't exist in reality, not even at the subatomic level. Here's why: 
 + 
 +Uncertainty Principle:  In the quantum world, where subatomic particles reside, the behavior of particles is governed by the Heisenberg Uncertainty Principle. This principle states that the more precisely you know a particle's position, the less precisely you can know its momentum (and vice versa).  A perfect line would require an infinitely precise location for every point along the line, which violates the uncertainty principle. 
 + 
 +Wave-Particle Duality:  Subatomic particles exhibit wave-particle duality, meaning they can behave like both particles and waves.  The wave nature makes it difficult to pinpoint a perfect location for a particle, and so a perfectly straight line becomes elusive. 
 + 
 +Quantum Fluctuations:  The vacuum of space itself isn't truly empty; it's constantly fluctuating with the creation and annihilation of virtual particles.  These fluctuations would disrupt any attempt to create a perfectly straight line at the subatomic level. 
 + 
 +Atomic Structure:  Even seemingly solid objects are ultimately made of tiny atoms with space between them. Zooming in close enough, you'd never find a perfectly straight line because the atoms themselves are not perfect points. 
 + 
 +While we might use lines in diagrams and models to represent subatomic particles or their trajectories, these are just simplified representations. The reality at the subatomic level is far more complex and doesn't conform to the ideal of perfect lines. 
 + 
 + 
 + 
 +**How does mind perceive the subatomic particles or objects which cannot be seen by naked eye**  
 + 
 + 
 +Our minds don't directly perceive subatomic particles like electrons or quarks.  We rely on a combination of: 
 + 
 +Indirect Detection:  We can't see these particles directly because they're too small to interact with light in a way that stimulates our retinas.  However, scientists use sophisticated instruments to detect their presence indirectly. These instruments might measure the energy or momentum of particles after they interact with other particles. 
 + 
 +Models and Simulations:  Based on the data collected from these instruments, scientists build models and simulations of subatomic particles and their interactions. These models are mathematical representations and computer simulations that help us understand the behavior of these particles even though we can't see them directly. 
 + 
 +Visualization Tools:  Scientists often use computer-generated visualizations to represent subatomic particles and their interactions.  These visualizations are not photographs of reality, but rather visual aids that help us comprehend the complex processes happening at the subatomic level.  Think of them as illustrations rather than pictures. 
 + 
 +Inference and Reasoning:  By analyzing the data and the models, scientists can infer the properties and behavior of subatomic particles.  This involves logical reasoning and drawing conclusions based on the available evidence. 
 + 
 +Here's an analogy: 
 + 
 +Imagine trying to understand the inner workings of a complex machine. You can't see the individual gears and cogs directly, but by observing its behavior, listening to the sounds it makes, and maybe even using tools to measure its output, you can start to build a mental model of how it works.  Similarly, we use indirect methods to understand the subatomic world. 
 + 
 +Our minds are adept at taking in information from various sources and piecing together a coherent picture.  While we can't directly see subatomic particles, through these indirect methods, we can develop a robust understanding of their properties and how they interact with each other, shaping the world around us. 
 + 
 + 
 + 
 +**What is the difference between direct realism and indirect realism , are all the molecular and microscopic models based on indirect reality.** 
 + 
 + 
 +Direct realism and indirect realism are two philosophical positions on how we perceive the external world. Here's a breakdown of the key differences: 
 + 
 +Direct Realism (Naive Realism): 
 + 
 +What we see is what we get: Direct realists believe that we perceive the world directly through our senses. The qualities we experience, like color, shape, and texture, accurately reflect the properties of objects themselves. 
 +Simplistic view: This view is often considered common sense and intuitive. We see a red apple, therefore the apple is red. 
 + 
 +Indirect Realism: 
 + 
 +Veil of perception: Indirect realists believe that our senses don't provide us with direct access to reality. There's a "veil of perception" through which we experience the world. Our brains interpret sensory data and construct our perception of reality. 
 +Mind-dependent qualities: Some qualities we experience, like color or sound, are considered mind-dependent by indirect realists. These qualities arise from the interaction between our sensory organs and the external world, not inherent properties of objects themselves. For example, the "redness" of an apple is caused by the way our eyes and brains interpret light waves reflected off the apple's surface. 
 +Molecular and Microscopic Models: 
 + 
 +Yes, all molecular and microscopic models are based on indirect realism. Here's why: 
 + 
 +Beyond our senses:  Atoms and subatomic particles are far too small to be directly perceived by our senses.  We can't see them with our eyes or touch them with our hands. 
 + 
 +Indirect evidence:  Our understanding of the microscopic world comes from indirect evidence.  Scientists use instruments like microscopes and particle accelerators to gather data about the behavior of these tiny particles.  They then build models based on this data and theoretical frameworks. 
 + 
 +Mind-dependent interpretations:  These models are not literal pictures of reality but rather interpretations of the data.  Scientists use their knowledge of physics and chemistry to create models that explain the observed phenomena. 
 + 
 +In essence: 
 + 
 +Direct realism wouldn't predict the existence of atoms or subatomic particles because they wouldn't be directly perceivable. 
 +Indirect realism provides a framework for understanding the world beyond our senses, making microscopic models possible. These models represent our best interpretation of the data, not a direct perception of reality. 
 +While the debate between direct and indirect realism continues, both perspectives offer valuable insights into how we experience and understand the world around us. 
 + 
 + 
 + 
 + 
 +**What is the nature of line or dot  is it only a mental construct or it exists outside mind**  
 + 
 + 
 +The nature of lines and dots is a fascinating question that sits at the intersection of philosophy, mathematics, and physics. Here's a breakdown of the two main viewpoints: 
 + 
 +1. Mental Constructs: 
 + 
 +Abstract representations: In this view, lines and dots are purely mental constructs. They are idealizations or simplifications that help us understand and reason about the world.  A perfect line with no thickness or a dot with no dimension doesn't exist physically. 
 + 
 +Building blocks for geometry:  Geometry, a branch of mathematics, relies heavily on lines and dots as fundamental concepts.  However, geometric shapes are often seen as idealizations used to represent real-world objects.  For example, a perfect circle is a useful concept, but a real-world ball will always have some imperfections. 
 + 
 +Cognitive limitations: Our senses have limitations. We perceive the world in a continuous stream of information, but our brains impose discreteness for easier processing.  A line might appear perfectly straight to our eye, but zooming in with a powerful microscope would reveal a more granular structure. 
 + 
 +2. Existing Outside the Mind: 
 + 
 +Mathematical reality:  Some mathematicians argue that lines and dots exist in a realm of mathematical Platonic ideals, independent of the physical world.  These ideal forms are seen as perfect and unchanging, even if we can't physically interact with them. 
 + 
 +Limits of measurement:  Our ability to measure things has limitations.  While a physical line might not be infinitely thin, it could be argued that it "exists" as a concept even if our instruments can't perfectly capture its exact width. 
 + 
 +The Reality Lies Somewhere In Between: 
 + 
 +The truth likely lies somewhere between these two viewpoints. Lines and dots might not exist as perfect entities in the physical world, but they can be useful tools for representing and reasoning about real-world phenomena. Here's an analogy: 
 + 
 +Imagine a map. The lines on a map represent roads, but they aren't the actual roads themselves. The roads have width and texture, which the lines on the map don't capture. However, the lines on the map are still a valuable tool for navigating the real world. 
 +Similarly, lines and dots can be seen as mental tools that help us navigate the complexities of the physical world. While they might not be perfect representations of reality, they serve a crucial role in our understanding of space, shape, and measurement. 
 + 
 + 
 + 
 + 
 +**What is a realm** 
 + 
 +The word "realm" has a few different meanings, depending on the context. Here are the two main interpretations: 
 + 
 +1. A sovereign territory or kingdom: 
 + 
 +This is the most traditional definition of realm. It refers to a geographical area ruled by a king, queen, or other sovereign.  For example, the realm of England or the Aztec realm.  In this sense, a realm implies a well-defined territory with its own laws, government, and often a distinct culture. 
 + 
 +The term can also be used more broadly to refer to any independent state or nation, even if it's not ruled by a monarch. 
 + 
 +Additionally, the phrase "peer of the realm" refers to a hereditary noble who holds a high rank in a monarchy. 
 + 
 +2. A sphere of influence or activity: 
 + 
 +In a more figurative sense, realm can refer to a particular area of knowledge, experience, or activity. Here, it doesn't necessarily imply a physical territory. 
 +For instance, the realm of science, the realm of dreams, or the realm of the unconscious mind. 
 +In this context, it describes a domain or sphere where certain concepts, ideas, or phenomena are dominant. 
 +Here are some additional points to consider: 
 + 
 +Overlapping Meanings: Sometimes the two meanings can overlap.  For example, the "realm of nature" could refer to the natural world itself (geographical territory) or the domain of natural laws and processes (sphere of influence). 
 + 
 +Figurative Language: Realm is often used figuratively in literature and everyday language to create a sense of atmosphere or domain. 
 + 
 +Alternatives: Depending on the context, there might be more specific words to replace "realm."  For example, "domain" or "field" might be more suitable for a sphere of knowledge, while "world" or "dimension" could be appropriate for a more abstract concept. 
 + 
 +I hope this clarifies the different ways "realm" can be used!
  
  
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  • en/ars_combinatoria.1712164219.txt.gz
  • 2024/04/03 17:10
  • brahmantra