
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.
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-.
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 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.
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 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.
Examine the dual thesis of Terence, turning the quote about clemency into a praise of firmness within a matrix of punishment versus forgiveness.
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.
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.
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.
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.
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.