Logical possibility refers to a logical proposition that cannot be disproved, using the axioms and rules of a given system of logic. The logical possibility of a proposition will depend upon the system of logic being considered, rather than on the violation of any single rule. Some systems of logic restrict inferences from inconsistent propositions or even allow for true contradictions. Other logical systems have more than two truth-values instead of a binary of such values. However, when talking about logical possibility, it is often assumed that the system in question is classical propositional logic. Similarly, the criterion for logical possibility is often based on whether or not a proposition is contradictory and as such, is often thought of as the broadest type of possibility. In modal logic, a logical proposition is possible if it is true in some possible world. The universe of "possible worlds" depends upon the axioms and rules of the logical system in which one is working, but given some logical system, any logically consistent collection of statements is a possible world. The modal diamond operator is used to express possibility: denotes "proposition is possible". Logical possibility should be distinguished from other sorts of subjunctive possibilities. But the relationship between modalities (if there is any) is the subject of debate and may depend upon how one views logic, as well as the relationship between logic and metaphysics, for example, many philosophers following Saul Kripke have held that discovered identities such as "Hesperus = Phosphorus" are metaphysically necessary because they pick out the same object in all possible worlds where the terms have a referent. However, it is nonetheless logically possible for “Hesperus = Phosphorus” to be false, since denying it doesn't violate a logical rule such as consistency. Other philosophers are also of the view that logical possibility is broader than metaphysical possibility, so that anything which is metaphysically possible is also logically possible. (Wikipedia).
Understanding Logical Statements 1
U12_L1_T2_we1 Understanding Logical Statements 1
From playlist Algebra I Worked Examples
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From playlist Mathematical Statements (Discrete Math)
This video focuses on how to write the converse of a conditional statement. In particular, this video shows how to flip the hypothesis and conclusion of a conditional statement. The concepts of truth value and logical equivalence are explored as well. Your feedback and requests are encour
From playlist Geometry
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The law of logical honesty and the end of infinity | Data structures in Math Foundations 178
It is time to end the delusion which pervades modern 20th century style mathematics, and move towards a true mathematics for the new millennium. Infinity needs to go! We need to accept the actual reality of mathematics, rather than some fairy-tale wishful dreaming that allows us to prop
From playlist Math Foundations
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From playlist Conditional Statements
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From playlist Geometry
Set Theory (Part 18): The Rational Numbers are Countably Infinite
Please feel free to leave comments/questions on the video and practice problems below! In this video, we will show that the rational numbers are equinumerous to the the natural numbers and integers. First, we will go over the standard argument listing out the rational numbers in a table a
From playlist Set Theory by Mathoma
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More resources available at www.misterwootube.com
From playlist The Nature of Proof
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Paola Cantù : Logic and Interaction:pragmatics and argumentation theory
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From playlist Logic and Foundations
Knowledge - Lecture 1 - CS50's Introduction to Artificial Intelligence with Python 2020
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From playlist CS50's Introduction to Artificial Intelligence with Python 2020
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From playlist IB Math Studies Chapter 8
RubyConf 2016 - Problem Solved! Using Logic Programming to Find Answers by Gavin McGimpsey
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From playlist Franke Lectures in the Humanities
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I'm not a native English speaker, sorry about my pronunciation and fluency in English. If there is any kind of mistake in the video, please inform me in the comments section.
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