Logical Relations (Philosophy)

Published by: anonym 2010-03-18

Philosophy of Postmodernism: Definition, Postmodern Philosophers ::
Post modern definition, philosophy quotes and ideas from famous postmodern is a logical relation and that there can be infallible acts of knowing.
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In the study of logic, there are 27 different types of relations. What are the 27 relations or where are they listed?

In what might be called "classical" or binary logic -- where a proposition is either "true" or "false" -- there aren't 27 relations. But in logic systems that allow for "true", "false" and maybe, you can have a primary category of 27 relations. Some of these have familiar English names, but others are pretty much described mathmatically rather than with words. The names include: affirmation negation disjunction conjunction implication tautology contradiction ...and so on. Do these sound like the type of things you're looking for? If so, I'll be happy to post a fuller explanation as an answer to your question. let me know.

U of Vic Philosophy Student Union::
The criteria of testability of predictions and empirical content is an empty category, unless we stress the logical relation entailed by laws or trends.
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Georg Henrik von Wright::
The article made von Wright the founder of modern deontic logic, which studies the logical relations between the normative notions of the permitted,
http://www.kirjasto.sci.fi/gwright.htmHOME

Hello insyder-ga, Thanks for asking such an interesting question...and for giving me the opportunity to answer it. Since advanced logic isn't necessarily my forte, I am going to answer your question mostly by quoting from a key paper on the topic of "ternary logic" -- one that directly addresses the 27 relationships you asked about. First, the paper itself is: "A Brief Introduction to Ternary Logic" by Jorge Pedraza Arpasi. You can find it on the web at: http://www.aymara.org/ternary/ternary.pdf The paper begins by distinguishing binary logic (true/false) from ternary logic (true/false/"perhaps true perhaps false"). As the paper puts it: --In this note, for the binary case, we will use the values {0, 1} which means true=1 and false=0. Whereas that for ternary case we will use the values {0, 1, 2} which means true=1, false=2, and "perhaps true perhaps false" =0. ----- In the binary system, and given a set of basic assumptions, there are are 16 basic operations that emerge: --Over L are defined the following basic operations...negation...disjunction...conjunction...From these three operations we can derive 16 binary operations, among them the implication...and the equivalence... ----- For ternary logic, and under appropriate conditions, there are 27 such operations: --When n = 1 we have one-variable functions f(x), and there are [3 e 3] = 27 of these functions, among them are, the Identity or Affirmation id(x), the negation N(x), the Tautology...and the contradiction... All these 27 functions are also called modal functions of x and they are shown in the Table 8 [NOTE from pafalafa-ga -- see Table 8 in the paper for a fuller description]. ----- The 27 relationships emerge from simple assumptions about one-variable functions...under a more complex scenario of two variables, thousands of relationships can emerge. ========== I did not come across any site that actually assigned English names to all 27 of the relationships you asked about, and I'm not sure that such names exist (as I mentioned earlier, more complex systems can have sets of thousands or even millions of such relationships). For an additional discussion of ternary logic, you might want to have a look at "The Logic of More" at: http://ternarylogic.home.att.net/ ========== I hope this information fully meets your needs. If you find you need additional information about anything I have posted here, please don't hesitate to post a Request for Clarification to let me know how I can help you further. You are also, certainly, invited to post additional questions here at Google Answers if you want to explore other aspects of ternary logic with the researchers here. All the best. pafalafa-ga search strategy: Google searches on: (27 OR "twenty seven") (logic OR logical) (relations OR relationships) (27 OR "twenty seven") tautology affirmation contradiction negation

Center for Philosophy of Science ::: als 2007-08::
Helen Longino, Stanford University, Department of Philosophy they do not stand in the appropriate logical relations to be treated as competitors in the
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Carnap, Rudolf [Internet Encyclopedia of Philosophy]::
Probability and Inductive Logic 6. Modal Logic and the Philosophy of Language .. that is, a logic which studies the logical relations between statements
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A New Look at the Logic of the ‘Is’-‘Ought’ Relation::
in Anglo-American philosophy was that there was no logical. relation between ‘is ’ and ‘ought’ judgments. One source for this. view was Principia Ethica;
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logical relation -- Britannica Online Encyclopedia::
Britannica online encyclopedia article on logical relation: those relations between the and confusion in 20th-century British and American philosophy.
http://www.britannica.com/EBchecked/topic/346378/logical-relationHOME