Logical consequence (also entailment) is one of the most fundamental concepts in logic. It is the relationship between statements that holds true when one logically "follows from" one or more others. A valid logical argument is one in which the conclusions follow from its premises, and its conclusions are consequences of its premises. The philosophical analysis of logical consequence involves asking, 'in what sense does a conclusion follow from its premises?' and 'what does it mean for a conclusion to be a consequence of premises?' All of philosophical logic can be thought of as providing accounts of the nature of logical consequence, as well as logical truth.
Logical consequence is taken to be both necessary and formal with examples explicated using models and proofs. A sentence is said to be a logical consequence of a set of sentences, for a given language, if and only if, using logic alone (i.e. without regard to any interpretations of the sentences) the sentence must be true if every sentence in the set were to be true.
This video was created as additional educational support for the purposes of the 100-level course 'Logic, Information, Argumentation' taught at Amsterdam University College (AUC). It is made by students in the context of the AUC Educational Development Initiative project 'Flipping the Classroom: students teaching students' supervised by AUC logic teaching coordinator Dora Achourioti. The AUC students who have collaborated on making this video are:
Loes van Keulen
Anne Roosenberg
published: 31 Aug 2019
Logical Consequence and Theories
This covers definitions of logical consequence and theories in propositional logic. We follow chapter 2 of Moti Ben Ari's textbook, Mathematical Logic for Computer Science.
published: 14 May 2020
What is a Logical Consequence?
In this video, I explain the concept of a logical consequence (also known as a valid or logically correct inference), along with a method of testing for it.
published: 08 Feb 2019
What is a logical consequence? What is validity?
Philosurfer Merch: https://thephilosurfer.com/store
1.4 Logical Consequence
Part 1
How does logic guarantee a conclusion is true? What do we mean by a valid argument?
For this video: Read 1.4 Logical Consequence (pp. 14-19)
For next video: Read 1.4 Logical Consequence (pp. 19-21)
“Logic: The Laws of Truth” Nicholas J. J. Smith https://amzn.to/2T2HlnF
This video belongs to my free Introduction to Logic course. If you find this course useful or especially if you’d like to help me offer additional free courses in logic, math, and philosophy, please support this project at https://www.patreon.com/thephilosurfer.
http://thephilosurfer.com
published: 04 Mar 2019
Logical Consequence for Young Children
Learn from our team of professional mental health clinicians on tips and strategies for how to implement logical consequences with young children.
published: 03 Aug 2020
"Logical consequence" - UNIT 1: CLASSICAL PROPOSITIONAL LOGIC
published: 27 Jan 2017
Logical consequences 1
Created with Sock Puppets for iPhone and iPad.
published: 15 Jul 2014
Logical And Tautological Consequence
This video discusses the concepts of logical consequence and tautological consequence, as well as how they relate to one another.
published: 01 Jul 2019
Using Logical Consequences - Conscious Discipline Skills
This video was created as additional educational support for the purposes of the 100-level course 'Logic, Information, Argumentation' taught at Amsterdam Univer...
This video was created as additional educational support for the purposes of the 100-level course 'Logic, Information, Argumentation' taught at Amsterdam University College (AUC). It is made by students in the context of the AUC Educational Development Initiative project 'Flipping the Classroom: students teaching students' supervised by AUC logic teaching coordinator Dora Achourioti. The AUC students who have collaborated on making this video are:
Loes van Keulen
Anne Roosenberg
This video was created as additional educational support for the purposes of the 100-level course 'Logic, Information, Argumentation' taught at Amsterdam University College (AUC). It is made by students in the context of the AUC Educational Development Initiative project 'Flipping the Classroom: students teaching students' supervised by AUC logic teaching coordinator Dora Achourioti. The AUC students who have collaborated on making this video are:
Loes van Keulen
Anne Roosenberg
This covers definitions of logical consequence and theories in propositional logic. We follow chapter 2 of Moti Ben Ari's textbook, Mathematical Logic for Compu...
This covers definitions of logical consequence and theories in propositional logic. We follow chapter 2 of Moti Ben Ari's textbook, Mathematical Logic for Computer Science.
This covers definitions of logical consequence and theories in propositional logic. We follow chapter 2 of Moti Ben Ari's textbook, Mathematical Logic for Computer Science.
In this video, I explain the concept of a logical consequence (also known as a valid or logically correct inference), along with a method of testing for it.
In this video, I explain the concept of a logical consequence (also known as a valid or logically correct inference), along with a method of testing for it.
In this video, I explain the concept of a logical consequence (also known as a valid or logically correct inference), along with a method of testing for it.
Philosurfer Merch: https://thephilosurfer.com/store
1.4 Logical Consequence
Part 1
How does logic guarantee a conclusion is true? What do we mean by a valid a...
Philosurfer Merch: https://thephilosurfer.com/store
1.4 Logical Consequence
Part 1
How does logic guarantee a conclusion is true? What do we mean by a valid argument?
For this video: Read 1.4 Logical Consequence (pp. 14-19)
For next video: Read 1.4 Logical Consequence (pp. 19-21)
“Logic: The Laws of Truth” Nicholas J. J. Smith https://amzn.to/2T2HlnF
This video belongs to my free Introduction to Logic course. If you find this course useful or especially if you’d like to help me offer additional free courses in logic, math, and philosophy, please support this project at https://www.patreon.com/thephilosurfer.
http://thephilosurfer.com
Philosurfer Merch: https://thephilosurfer.com/store
1.4 Logical Consequence
Part 1
How does logic guarantee a conclusion is true? What do we mean by a valid argument?
For this video: Read 1.4 Logical Consequence (pp. 14-19)
For next video: Read 1.4 Logical Consequence (pp. 19-21)
“Logic: The Laws of Truth” Nicholas J. J. Smith https://amzn.to/2T2HlnF
This video belongs to my free Introduction to Logic course. If you find this course useful or especially if you’d like to help me offer additional free courses in logic, math, and philosophy, please support this project at https://www.patreon.com/thephilosurfer.
http://thephilosurfer.com
This video was created as additional educational support for the purposes of the 100-level course 'Logic, Information, Argumentation' taught at Amsterdam University College (AUC). It is made by students in the context of the AUC Educational Development Initiative project 'Flipping the Classroom: students teaching students' supervised by AUC logic teaching coordinator Dora Achourioti. The AUC students who have collaborated on making this video are:
Loes van Keulen
Anne Roosenberg
This covers definitions of logical consequence and theories in propositional logic. We follow chapter 2 of Moti Ben Ari's textbook, Mathematical Logic for Computer Science.
In this video, I explain the concept of a logical consequence (also known as a valid or logically correct inference), along with a method of testing for it.
Philosurfer Merch: https://thephilosurfer.com/store
1.4 Logical Consequence
Part 1
How does logic guarantee a conclusion is true? What do we mean by a valid argument?
For this video: Read 1.4 Logical Consequence (pp. 14-19)
For next video: Read 1.4 Logical Consequence (pp. 19-21)
“Logic: The Laws of Truth” Nicholas J. J. Smith https://amzn.to/2T2HlnF
This video belongs to my free Introduction to Logic course. If you find this course useful or especially if you’d like to help me offer additional free courses in logic, math, and philosophy, please support this project at https://www.patreon.com/thephilosurfer.
http://thephilosurfer.com
Logical consequence (also entailment) is one of the most fundamental concepts in logic. It is the relationship between statements that holds true when one logically "follows from" one or more others. A valid logical argument is one in which the conclusions follow from its premises, and its conclusions are consequences of its premises. The philosophical analysis of logical consequence involves asking, 'in what sense does a conclusion follow from its premises?' and 'what does it mean for a conclusion to be a consequence of premises?' All of philosophical logic can be thought of as providing accounts of the nature of logical consequence, as well as logical truth.
Logical consequence is taken to be both necessary and formal with examples explicated using models and proofs. A sentence is said to be a logical consequence of a set of sentences, for a given language, if and only if, using logic alone (i.e. without regard to any interpretations of the sentences) the sentence must be true if every sentence in the set were to be true.
During the debate about the 2025 resolution, opponents offered several rationales for rejection ... This is not an occasional tactic ... 38 ... Its terrorist campaigns since the 1990s and the massacre of 7 October were the logical consequence of those hatreds.
And that is essentially because the organic maturation of public administration had been disrupted not only by colonial rule but also postcolonial consequences of a logic of extraction.
A consequence of the less USDT dominance is that investors are converting their stablecoins into Bitcoin and other cryptocurrencies. LogicalApproach To The LiquidationBlocks.
Gaza is the Archimedean point... There will be more crises ahead, including political ones ... Hamas ... those promoting mass draft-dodging that contradicts state and military needs and opposes equality and logic cannot escape the consequences of their actions.
In many ways it is their sheer scale that renders them too large to be exhaustively tested. If we accept this, there is no other logic than to assert that, as a consequence, they are far from infallible and should be treated by the courts as such ... .
Driven by a misperception of insecurity, major powers' behavior logic and its consequences could become more dangerous ... practices since then are challenging the basic logic of the origin of this order.
It only gratifies Trump and that portion of his followers, who—like J. K ... The political logic of Trump’s international threats]. But it does make sense to figure out where these statements come from, and, more important, what consequences they may have.
Sign up for it here ...Reality thinks not ... But it was too late ... But in Biden’s case, the consequences were existential. By his own logic, the Prime Directive of his presidency was to preserve democracy by preventing Donald Trump’s return to power ... Related ... .
File this under "me at 34 years old" when the energy level was off the charts and I was determined to follow an enterprise story to its logical conclusion. Unfortunately the ensuring 44 years and natural consequences have sapped much of that ... .
2025年一个很大的外部不确定性,就是特朗普即将实施的一揽子政策可能带来的溢出效应,及其对美联储货币政策的潜在影响。 ... This impact has already begun to manifest ... However, after the rate cut was announced, both U.S. stocks and bonds plunged simultaneously ... As a logical consequence ... .
Logical ramifications, unintended consequences, and the basic value of fairness can get lost in the uniquely contradictory routine and hectic jungle of daily life ... Ramifications, unintended consequences are always present but seldom considered.
The truth is that all these definitions can be true ...Warning ... Medics provide assistance, this is logical, but the context is extremely important ... all the consequences of the shelling are visible, from the destroyed house to the destroyed life ... .
The Mela actress explained that she did it for logical reasons, as kids were the primary reason for getting married. Consequently, she wanted to know about his family's diseases and key traits.