
Study the matrices of concepts as a tool to derive a dialectical plan from a proposition or thesis. Analyze structure, citations, and relationships, using examples like audacity, courage, and prudence.
Explore the concept of dual poles, represented as A and non-A, with concrete examples such as abstract–concrete, analytical–synthetic, absolute–relative, qualitative–quantitative, static–dynamic, simple–compound, and individual–collective.
Identify the canonical concepts, including neutral A0/non-A0, positive A+/non-A+, and negative A-/non-A-, and learn how these dual-pole pairs organize the matrices of concepts.
Explore the matrix of concepts, detailing three pairs of canonical poles—neutral, positive, and negative—and their dual and opposing relationships among A, non-A, A0, non-A0, A+, non-A-, and A-, non-A+.
Explore the notion of the half-matrix and its two triplets, the A pole and the non-A pole, consisting of A0, A+, A-, and non-A0, non-A+, non-A-.
Study matrices of concepts across opposites, from objectivity to impersonality and engagement to subjectivity, then apply direct versus indirect action and attack versus defense to everyday terms.
Explore a third set of concept matrices that extend across domains, linking sensitivity and impassivity, reason and inspiration, abstract versus concrete, and A+ versus non-A- concepts such as resolution.
Explore additional matrices of concepts, contrasting optimism and pessimism, ambition and self-forgetfulness, doubt and belief, and risk-taking with prudence to map their positive and negative extremes.
Explore the duality relationship between concepts in the same matrix, focusing on neutral dual poles like A0 and non-A0, and direct versus indirect, abstract versus concrete, including risk propensity.
Explore how A+ and non-A+ form a complementarity relationship within the matrix of concepts, illustrated by audacity and prudence, and apply it to the matrix dialectical plan.
Explore the dual, opposite, and complementary relationships among concept matrices, including neutral A0 vs non A0, A+ vs non-A-, and A- vs non-A+.
Matrix of concepts reconstruction exercise with one missing concept.
Matrix of concepts reconstruction exercise with one missing concept.
Matrix of concepts reconstruction exercise with one missing concept.
Matrix of concepts reconstruction exercise with two missing concepts.
Matrix of concepts reconstruction exercise with two missing concepts.
Matrix of concepts reconstruction exercise with two missing concepts.
Matrix of concepts reconstruction exercise with two missing concepts.
Matrix of concepts reconstruction exercise with two missing concepts.
Matrix of concepts reconstruction exercise with two missing concepts.
Matrix of concepts reconstruction exercise with three missing concepts.
Matrix of concepts reconstruction exercise with three missing concepts.
Matrix of concepts reconstruction exercise with three missing concepts.
Matrix of concepts reconstruction exercise with four missing concepts.
Matrix of concepts reconstruction exercise with four missing concepts.
Matrix of concepts reconstruction exercise with four missing concepts.
Matrix of concepts reconstruction exercise with five missing concepts.
Matrix of concepts reconstruction exercise with five missing concepts.
Matrix of concepts reconstruction exercise with five missing concepts.
Explore the notion of thesis as an author's opinion toward a matrix concept, including its six concepts, with simple, compound, and dual theses and their positive or negative judgments.
Distinguish simple theses from compound ones using a canonical and abstract matrix of six concepts, and learn how praise and blame express positive or negative appreciation.
Explains the coherence of theses, showing how praise or blame ties to degrees of coherence for positive, negative, and neutral concepts, and prepares examples of simple theses.
Analyze Aristotle’s quote on egoism as a negative concept using a simple thesis matrix. Show how self-directed tendencies contrast with other-directed altruism and lead to self-realization.
Analyze a simple matrix thesis from Descartes that links irresolution to blame and negativity, and map keeping opinions versus changing minds into dual poles.
Analyze Shakespeare's quote 'the proud man devours himself' by building a dialectical matrix around pride and its opposites, including modesty, self-esteem, and withdrawal of the ego.
Analyze a simple matrix thesis from Edgar Poe's quote on contempt of ambition, framing ambition as neutral and its extremes. Map ambition against self-forgetfulness, sacrifice, renunciation, and abnegation.
Explore the dual theses of simple theses, examining praise and blame across A+, non-A+, A-, non-A-, and A0 concepts within half-matrix structures.
Explore Aristotle’s simple thesis that selfishness is a disordered passion for self, and its dual, contrasting egoism with altruism and caring for others at one's expense.
Explore Karl Popper's dual thesis on optimism, contrasting praise for optimistic thinking with the call to be informed about problems and difficulties as a moral duty.
Explore how a dual thesis analyzes Shakespeare's quote 'The proud man devours himself,' linking pride, immodesty, and self-esteem to underestimation and self-destruction.
Examine the dual thesis of Terence, turning the quote about clemency into a praise of firmness within a matrix of punishment versus forgiveness.
Examine the dual thesis of ambition and its opposite in Edgar Poe's quote, analyzing ambition as a neutral concept and its positive and negative senses, alongside self-forgetfulness, sacrifice, and renunciation.
Explore compound theses in the matrices of concepts, focusing on two concepts within the same matrix, their structure, common cases, and their coherence.
Analyze the degree of coherence in compound theses, examining cases of paired praise and blame for A+, A-, and neutral A0 concepts, including rare disorienting structures.
Explore a compound matrix thesis built from William James's line 'pessimism leads to weakness; optimism to power,' mapping optimistic and pessimistic attitudes across dual poles of advantages and disadvantages.
Analyze Goethe's compound matrix thesis by contrasting abstract theory with concrete practice, revealing how gray theory contrasts with the tree of life and its pragmatic implications.
Study Pascal's two excesses within a compound dialectical plan, placing rationality and irrationality on opposite poles, with inspiration as the neutral pole.
Explore Seneca's compound thesis on belief and distrust, analyzing how credulity and extreme distrust form a paired critique, and restore the matrix of opposing concepts.
Analyzing Plutarch’s three-concept matrix—courage, temerity, and cowardice—this lecture shows courage as positive, temerity and cowardice as negative, and completes the matrix with prudence, audacity, and related terms.
Explore how the dual thesis of a compound thesis preserves or permutes praise and blame across A+ and non-A- concepts, using half-matrix shifts and concrete examples.
Explore a compound matrix thesis from William James, reformulating the quote into a dual thesis that links blissful optimism to weakness and awareness of problems to power.
Analyze Napoleon's quote on audacity and caution as a compound thesis. Reframe it as a dual thesis within a risk and prudence matrix, linking A+ and non-A+ praise.
Examine Goëthe's dual thesis by dissecting the compound structure of a quotation, contrasting abstract theory with concrete pragmatism and highlighting theory's dogmatism and practice's prosaism.
Analyze a compound thesis from Seneca, revealing a dual thesis that pairs believing everything with believing nothing, reconstructing the matrix into credulity and incredulity, and exploring justified mistrust and circumspection.
Explore the classical dialectical plan of thesis, antithesis, and synthesis, tracing its origins to Fichte and Heraclitus, and show how the matrix dialectical plan adapts this triplet to overcome opposition.
Explore the matrix dialectical plan, an alternative to thesis-antithesis-synthesis, built from matrices of concepts. Analyze two half-matrices with six concepts—neutral, positive, and negative—and the complementarity of A+ and non-A+.
Analyze Descartes' quote 'irresolution is the greatest of evils' and construct a dialectical matrix contrasting maintaining an opinion with changing one's mind, highlighting determination and adaptability.
Apply the matrix dialectical plan to William James's quote, analyzing the praise of optimism and blame of pessimism, and synthesize a balanced view that combines optimism with knowledge of difficulties.
Explore how to construct a matrix dialectical plan from Napoleon's quote on audacity and prudence, mapping risk-taking and avoidance into six concepts and a three-part synthetic framework.
Explore how the matrix dialectical plan parses Goethe's quote, contrasting abstract theory with concrete practice to balance abstraction and pragmatism while guarding against dogmatism and prosaism.
Analyze Pascal's Pensées quote to show how the matrix dialectical plan reframes reason and inspiration as neutral poles, detailing a tripartite structure with rationalism and irrationality risks and their complementarity.
Seneca's compound matrix thesis guides transforming doubt and belief into a tripartite matrix dialectical plan, balancing circumspection with justified trust and guarding against credulity.
Explore the advantages of the matrix dialectical plan over the classical dialectical plan, including six concepts, coherence evaluation, dual theses, and precise antinomy definitions.
Explore how the matrices of concepts illuminate Heraclitus' idea of harmony and discord through three oppositions, using fragment eight and fragment fifty-one and the lyre metaphor.
This course is designed to provide students with the theoretical basis for developing a dialectical plan for an essay, a dissertation, or a general topic. The dialectical plan taught in this course is the matrix dialectical plan, which differs from the classical thesis-antithesis-synthesis dialectical plan. The matrix dialectical plan is based on matrices of concepts, a conceptual tool created by the author, which is multi-disciplinary and has various applications. The course describes precisely one of the applications of the matrices of concepts, in terms of the realization of a plan related to an essay, a dissertation, a general subject. The methodology thus exposed is also applicable to certain types of exam or competition subjects.
Concept matrices are a conceptual tool, whose essence is philosophical in nature. However, we are dealing here with applied philosophy, that is to say a philosophy that is intended to have useful and practical applications. But no philosophical prerequisites are necessary for this course.
The course is structured in five parts, which allow the student to master successively the notions concerning :
- the matrices of concepts
- examples and exercices on matrices of concepts
- the simple theses : an analysis of quotations, sentences or assertions, related to a concept of a matrix of concepts
- the compound theses : an analysis of quotations, sentences or assertions, concerning two or more concepts of a matrix of concepts
- the matrix dialectical plan
The course is widely illustrated: many diagrams and charts are presented. Exercises are also included to test the knowledge acquired throughout the course. In addition, these exercises can be used by those who wish to teach the theory and application of concept matrices to the development of a plan for a general topic.
Finally, please feel free to ask questions: they are welcome and I will be happy to answer your questions.