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In term logic (a branch of philosophical logic), the square of opposition is a diagram representing the relations between the four basic categorical propositions.
The origin of the square can be traced back to Aristotle's tractate On Interpretation and its distinction between two oppositions: contradiction and contrariety.
However, Aristotle did not draw any diagram; this was done several centuries later by Apuleius and Boethius.
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In term logic (a branch of philosophical logic), the squareofopposition is a diagram representing the relations between the four basic categorical propositions...
can grasp objects Squareofopposition, a type of logic diagram Wikiquote has quotations related to Opposition. Search for "opposition" on Wikipedia. Apposition...
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" Thus the relationships of the squareofopposition may allow immediate inference, whereby the truth or falsity of one of the forms may follow directly...
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hexagon ofopposition) is a conceptual model of the relationships between the truth values of six statements. It is an extension of Aristotle's squareof opposition...
every combination of existential import—so it can establish which construal, if any, preserves the squareofopposition and the validity of the traditionally...
discusses the squareofopposition or squareof Apuleius in Chapter 7 and its appendix, Chapter 8. Chapter 9 deals with the problem of future contingents...
considered to be either easy (60° Sextile or 120° Trine) or hard (90° Square or 180° Opposition). Depending on the involved planets, a Conjunction (0°, which...
every S is P) categorical propositions of the traditional squareofopposition and the original squareofopposition. If the A proposition is true we may...
Ginzberg’s triangle of contraries and Sir William Hamilton’s subcontraries. Logical cube Logical hexagon Squareofopposition Bazhanov, Valentin (January...
negation of validity is invalidity. These four concepts are related to each other in a manner exactly analogous to Aristotle's squareofopposition. The problem...
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subalternation relations (these hold in the traditional squareofopposition, not the modern squareofopposition) are syllogistic fallacies called illicit contrary...
terms of total control of their subjects' doings. The SquareofOpposition, in both its Aristotelian version and its Boolean version, consists of four...
interpretation of the product of mathematical structures. This is distinct from, although related to, the notion of a Cartesian square in category theory...
\mathbb {R} } of real numbers. The square root function f ( x ) = x {\displaystyle f(x)={\sqrt {x}}} has as its natural domain the set of non-negative...
Apophasis Binary opposition Bitwise NOT Contraposition Cyclic negation Negation as failure NOT gate Plato's beard Squareofopposition Weisstein, Eric...
Ontological Modal Collapse as a Collapse of the SquareofOpposition". The SquareofOpposition: A Cornerstone of Thought. Studies in Universal Logic. pp...
his machine consists of: ...an unlimited memory capacity obtained in the form of an infinite tape marked out into squares, on each of which a symbol could...
"quadratic" may be dropped. For a given n, a list of the quadratic residues modulo n may be obtained by simply squaring all the numbers 0, 1, ..., n − 1. Since...
comprehensive treatment of the notions ofopposition and conversion; chapter 7 is at the origin of the squareofopposition (or logical square); chapter 9 contains...
the Elements also covers number theory, including a proof that the square root of two is irrational and a proof that there are infinitely many prime numbers...