The matrix of concepts is a structure that includes six concepts, which is suitable for modeling many common concepts, such as: courage, recklessness, irresolution, eclecticism, superficiality, clemency, instability, selfishness, objectivity, frankness, brusqueness, altruism, etc. Of the six concepts in the matrix:

- two are neutral: A
^{0}and Ā^{0} - two are positive: A
^{+}and Ā^{+} - two are negative: A
^{–}and Ā^{–}

These six concepts constitute the canonical poles of the matrix.

The six concepts of the matrix are in particular relationships with each other. Thus:

- the neutral concepts A
^{0}and Ā^{0}are dual - the positive concept A
^{+}and the negative concept Ā^{–}are opposite (or contrary); similarly, the negative concept A^{–}and the positive concept Ā^{+}are opposite (or contrary) - the positive concepts A
^{+}and Ā^{+}are complementary - lastly, the negative concepts A
^{–}and Ā^{–}are extreme opposites

In the above instance of matrix of concepts:

- the propensity to take risks and the propensity to avoid risks are dual
- audacity and cowardice are contrary, opposite; in the same way, temerity and prudence are contrary, opposite
- audacity and prudence are complementary
- temerity and cowardice are extreme opposites

Moreover, the three concepts located on the left of the matrix constitute a half-matrix: it is the half-matrix associated with the pole A. In the same way, the three concepts located on the right of the matrix constitute the half-matrix associated to the pole Ā.

Franceschi, P., “Une classe de concepts” (in english), *Semiotica*, vol. 139 (1-4), 2002, pages 211-226.

Ambiguous images ** ▣** Arbitrary focus

**Bistable perception**

**▣****Complementarity relationship**

**▣****Conflict resolution**

**▣****▣**Conflict resolution with matrices of concepts

**▣**Conflict types relating to matrices of concepts

**▣**Contrary relationship

**▣**Courage

**▣**Dialectical contextualism

**▣**Dialectical monism

**▣**Dialectical monism in Aztec philosophy

**▣**Dialectical monism in Heraclitus

**▣**Dichotomic analysis

**▣**Dichotomic analysis applied to paradox resolution

**▣**Dichotomous reasoning

**▣**Disqualification of one pole

**▣**Disqualification of the positive

**▣**Doctrine of the mean

**▣**Doomsday argument

**▣**Dualities

**▣**Dual poles

**▣**Extreme opposition

**▣**General cognitive distortions

**▣**Instance of one-sidedness bias

**▣**Liar paradox

**▣**Matrix of concepts

**▣**Maximization

**▣**Mental filter

**▣**Minimization

**▣**Bistable cognition

**▣**Omission of the neutral

**▣**One-sidedness bias

**▣**One-sided viewpoint

**▣**Opposition relationship

**▣**Principle of dialectical indifference

**▣**Requalification into the other pole

**▣**Reference class

**▣**Reference class problem

**▣**Reference class problem in philosophical paradoxes

**▣**Reference class problem in the Doomsday argument

**▣**Reference class problem in Hempel’s paradox

**▣**Reference class problem in the surprise examination paradox

**▣**Selective abstraction

**▣**Sorites paradox

**▣**Specific cognitive distortions

**▣**Surprise examination paradox

**▣**System of taxa

**▣**Two-sided viewpoint

**▣**Viewpoint of a duality

**▣**Viewpoint of a pole