- published: 16 Dec 2014
- views: 18154
In the system of Aristotelian logic, the square of opposition is a diagram representing the different ways in which each of the four propositions of the system is logically related ('opposed') to each of the others. The system is also useful in the analysis of syllogistic logic, serving to identify the allowed logical conversions from one type to another.
In traditional logic, a proposition (Latin: propositio) is a spoken assertion (oratio enunciativa), not the meaning of an assertion, as in modern philosophy of language and logic. A categorical proposition is a simple proposition containing two terms, subject and predicate, in which the predicate is either asserted or denied of the subject.
Every categorical proposition can be reduced to one of four logical forms. These are:
In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted ABCD.
The square is the n=2 case of the families of n-hypercubes and n-orthoplexes.
A square has Schläfli symbol {4}. A truncated square, t{4}, is an octagon, {8}. An alternated square, h{4}, is a digon, {2}.
A square is a special case of a rhombus (equal sides, opposite equal angles), a kite (two pairs of adjacent equal sides), a parallelogram (opposite sides parallel), a quadrilateral or tetragon (four-sided polygon), and a rectangle (opposite sides equal, right-angles) and therefore has all the properties of all these shapes, namely:
Opposition may mean or refer to:
The Square may refer to:
In this session, Dr. Manishika will explain the concept of square of opposition - categorical propositions - contradictory, contrary, subcontrary and subalternation. For more information visit www.doorsteptutor.com and contactus@doorsteptutor.com
This video discusses how to use the traditional square of opposition.
A description of the Modern or Boolean Square of Opposition in Categorical Logic (90 Second Philosophy & 100 Days of Logic).
In this session, examples of square of opposition will be solved by Dr. Manishika. This video is the continuation of the previous video on Square of opposition where the basic concepts were explained. For more information visit www.doorsteptutor.com or email contactus@doorsteptutor.com
http://media-mastery.com/scribe Try the software I used for this video for free. (It's an affiliate link) Watch my tutorial on how to do it: https://www.youtube.com/watch?v=010lhBDC6w4 Subscribe to my Newsletter here http://www.media-mastery.com/subscribe Aristotle laid out the principles of his logic in his writing Περὶ Ἑρμηνείας, in Latin De Interpretatione, in English On Exposition. It is a graphical representation of the relations between propositions that guarantee their truth. If philosophers and scientists would internalise the logical rules in Aristotle's square of opposition, a lot of misunderstandings would be prevented. Basics of the Square of Opposition of Aristotle 0:06 A proposition (e.g. "All Greeks are men.") consists of a subject ("Greeks") and a predicate ("men"). Th...
An explanation of the quantifiers in a categorical syllogism.
An explanation of the traditional Square of Opposition for Aristotelian categorical logic, complete with contradictions contraries, subcontraries, and subalternations (100 Days of Logic & 90 Second Philosophy).
In this session we continue to build off of our classification of categorical propositions into A, E, I, and O statements by investigating the relationships between the truth values of these types of statements on the Traditional Square of Opposition.
In this session, Dr. Manishika will explain the concept of square of opposition - categorical propositions - contradictory, contrary, subcontrary and subalternation. For more information visit www.doorsteptutor.com and contactus@doorsteptutor.com
This video discusses how to use the traditional square of opposition.
A description of the Modern or Boolean Square of Opposition in Categorical Logic (90 Second Philosophy & 100 Days of Logic).
In this session, examples of square of opposition will be solved by Dr. Manishika. This video is the continuation of the previous video on Square of opposition where the basic concepts were explained. For more information visit www.doorsteptutor.com or email contactus@doorsteptutor.com
http://media-mastery.com/scribe Try the software I used for this video for free. (It's an affiliate link) Watch my tutorial on how to do it: https://www.youtube.com/watch?v=010lhBDC6w4 Subscribe to my Newsletter here http://www.media-mastery.com/subscribe Aristotle laid out the principles of his logic in his writing Περὶ Ἑρμηνείας, in Latin De Interpretatione, in English On Exposition. It is a graphical representation of the relations between propositions that guarantee their truth. If philosophers and scientists would internalise the logical rules in Aristotle's square of opposition, a lot of misunderstandings would be prevented. Basics of the Square of Opposition of Aristotle 0:06 A proposition (e.g. "All Greeks are men.") consists of a subject ("Greeks") and a predicate ("men"). Th...
An explanation of the quantifiers in a categorical syllogism.
An explanation of the traditional Square of Opposition for Aristotelian categorical logic, complete with contradictions contraries, subcontraries, and subalternations (100 Days of Logic & 90 Second Philosophy).
In this session we continue to build off of our classification of categorical propositions into A, E, I, and O statements by investigating the relationships between the truth values of these types of statements on the Traditional Square of Opposition.
In this session, Dr. Manishika will explain the concept of square of opposition - categorical propositions - contradictory, contrary, subcontrary and subalternation. For more information visit www.doorsteptutor.com and contactus@doorsteptutor.com
In this session we continue to build off of our classification of categorical propositions into A, E, I, and O statements by investigating the relationships between the truth values of these types of statements on the Traditional Square of Opposition.
In this lecture, I explain the differences between Aristotelian and Boolean Squares of Opposition and how to apply each of them to test the validity of immediate inferences.
Professor Thorsby disccuses Existential Import, Venn Diagrams, and The Modern Square of Opposition
This video focuses on immediate inferences (the traditional and modern Square of Opposition, and conversion, obversion, and contraposition.
From the “four-colours theorem” to the “four-letters theorem”
This video introduces one of two systems of deductive reasoning, categorical logic. Following Ch. 5 (sections A-B) of Baronett's "Logic" (2nd ed.), the focus is on statements, which are the constituents of arguments (as premise or conclusion). More specifically, this video focuses on interpreting a statement as one of four types of categorical proposition. Once these proposition types are presented, their logical structure is studied in terms of linguistic analysis and visual diagrams (Venn diagrams). From these structures, immediate inferences are developed according to the traditional and modern Square of Opposition, and equivalences generated by conversion, obversion, and contraposition. Although Baronett's text is followed for all the relevant videos posted here, for the most part, ...
Categorical propositions: the four types and the square of opposition (contradictory, contrary, subcontrary and subalternate) http://homepages.umflint.edu/~simoncu/202/syl202.pdf