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Methods of dialectical problem solving

Negation, or do the opposite Constancy, continuation, perseverance Extraction and Application Segmentation and Unification Local Quality and Uniformity Consolidation and Separation Multifunctionality and Unifunctionality Asymmetry and Symmetry Nesting and Filling Spheres, Straight Lines, and Flat Surfaces Curves State Machine Dynamism and Crystallization Partial or Excessive Action vs Utmost Precision Transition into Another Dimension and Topology Vibrations Periodic Actions Continuity of Useful Action (Perfect Timing) Cumulative Action or Disperse Superpower Micropower Rushing Through Invisibly Slow Polysystems and Continuous Systems Completeness Hi- and Low Precision Flows Balancing (Counterweight) Counteraction (Reserves) Equipotentiality or Indirect Action Feedback Inert Environment - Catalyst Change of Parameters Junctions, Transducers Affecting through Junctions Solving Problems on Upper and Lower Systematic Levels Preliminary Action Precaution Measures Discarding and Regenerating Copying (Modeling)Mediator Homogeneity Heterogeneity Self-Service Cheap non-Longevity Instead of Expensive Longevity Putting Harm into Use Application of Composites Changing the Rules


- Look for contradictions, conflicting elements, etc. That is where the cause of the problem is;

- Strive for an Ideal Solution: "The problem is solved by the means already present without any additional harm";

- Use available resources: present in the system, in surroundings, in media, and ones that are cheap;

- Self service! Formula: "The object ITSELF solves the problem";

- Any interaction means there is a flow of something. Keep it in mind. Abstraction includes flows of "coordinates", "deformations", etc. Anything which changes. And if there is an interaction (or an abstract flow), there is a cause of it (called "abstract potential"). 70% of all problems deal with flows.

Combination of Methods and Principles

1. The methods are applied either alone or in combinations:

Most problems are solved with structure or scenarios of multitude of methods.

2. During the system analysis of a problem, you will come to two actors: "A Tool", what acts, and "A Product", what is act upon. To solve the problem you can apply the same principle to either one. This doubles your choices.

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This collection of methods and principles is a cumulative effort of many generations of problem solvers. IT DOES WORK!


Negation, or "Do the opposite", - Negation of Negation, or Constancy ;
Constancy, continuation, perseverance;
Extraction - Application;
Segmentation - Unification;
Local Quality - Uniformity;
Consolidation - Separation;
Multifunctionality and Unifunctionality;
Asymmetry and Symmetry;
Nesting and Filling;
Spheres, Straight Lines, and Flat Surfaces Curves;
State Machine;
Dynamism and Crystallization;
Partial or Excessive Action vs Utmost Precision;
Transition into Another Dimension and Topology;
Periodic Actions;
Continuity of Useful Action (Perfect Timing);
Cumulative Action or Disperse;
Rushing Through;
Invisibly Slow;
Polysystems and Continuous Systems;
"Pneumatics and Hydraulics";
"Flexible Membranes or Thin Films";
"Porous Materials";
"Changing Color" or "Dividing into Bins";
Hi- and Low Precision;
"Strong Oxidizers";
Balancing (Counterweight);
Counteraction (Reserves);
Equipotentiality or "Intersections of Polysystems";
Indirect Action;
Inert Environment - Catalyst;
Change of Parameters;
"Thermal Expansion";
Junctions, Transducers;
"Affecting through Junctions";
"Solving Problems on Upper and Lower Systematic Levels";
"Preliminary Action";
Precaution Measures;
Discarding and Regenerating;
Copying (Modeling) - Original;
Mediator - Immediate Contact;
Self-Service - Delegation;
Cheap non-Longevity Instead of Expensive Longevity;
Putting Harm into Use;
Application of Composites;
Changing the Rules;

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As published in "Junctions. On How Worlds are Connected", by Igor Polkovnikov, 2018.      Please, give your feedback.

Copyright©2018-2020 Igor Polkovnikov