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A paradox is a logically self-contradictory statement or a statement that runs contrary to one's expectation. It is a statement that, despite apparently valid reasoning from true premises, leads to a seemingly self-contradictory or a logically unacceptable conclusion. A paradox usually involves contradictory-yet-interrelated elements that exist simultaneously and persist over time. They result in "persistent contradiction between interdependent elements" leading to a lasting "unity of opposites".
A fallacy, is the use of invalid or otherwise faulty reasoning in the construction of an argument that may appear to be well-reasoned if unnoticed. The term was introduced in the Western intellectual tradition by the Aristotelian De Sophisticis Elenchis.
Deductive reasoning is the mental process of drawing deductive inferences. An inference is deductively valid if its conclusion follows logically from its premises, i.e. it is impossible for the premises to be true and the conclusion to be false.
The University of Windsor is a public research university in Windsor, Ontario, Canada. It is Canada's southernmost university. It has approximately 17,500 students. The university was incorporated by the provincial government in 1962 and has more than 150,000 alumni.
In logic, the logical form of a statement is a precisely-specified semantic version of that statement in a formal system. Informally, the logical form attempts to formalize a possibly ambiguous statement into a statement with a precise, unambiguous logical interpretation with respect to a formal system. In an ideal formal language, the meaning of a logical form can be determined unambiguously from syntax alone. Logical forms are semantic, not syntactic constructs; therefore, there may be more than one string that represents the same logical form in a given language.
Irving Marmer Copi was an American philosopher, logician, and university textbook author.
Douglas Neil Walton was a Canadian academic and author, known for his books and papers on argumentation, logical fallacies and informal logic. He was a Distinguished Research Fellow of the Centre for Research in Reasoning, Argumentation, and Rhetoric (CRRAR) at the University of Windsor, Ontario, Canada, and before that (2008–2014), he held the Assumption Chair of Argumentation Studies at the University of Windsor. Walton's work has been used to better prepare legal arguments and to help develop artificial intelligence.
Appeal to the stone, also known as argumentum ad lapidem, is a logical fallacy that dismisses an argument as untrue or absurd. The dismissal is made by stating or reiterating that the argument is absurd, without providing further argumentation. This theory is closely tied to proof by assertion due to the lack of evidence behind the statement and its attempt to persuade without providing any evidence.
An argument is a series of sentences, statements, or propositions some of which are called premises and one is the conclusion. The purpose of an argument is to give reasons for one's conclusion via justification, explanation, and/or persuasion.
Informal logic encompasses the principles of logic and logical thought outside of a formal setting. However, the precise definition of "informal logic" is a matter of some dispute. Ralph H. Johnson and J. Anthony Blair define informal logic as "a branch of logic whose task is to develop non-formal standards, criteria, procedures for the analysis, interpretation, evaluation, criticism and construction of argumentation." This definition reflects what had been implicit in their practice and what others were doing in their informal logic texts.
Charles Leonard Hamblin was an Australian philosopher, logician, and computer pioneer, as well as a professor of philosophy at the New South Wales University of Technology in Sydney.
Philosophy of logic is the area of philosophy that studies the scope and nature of logic. It investigates the philosophical problems raised by logic, such as the presuppositions often implicitly at work in theories of logic and in their application. This involves questions about how logic is to be defined and how different logical systems are connected to each other. It includes the study of the nature of the fundamental concepts used by logic and the relation of logic to other disciplines. According to a common characterisation, philosophical logic is the part of the philosophy of logic that studies the application of logical methods to philosophical problems, often in the form of extended logical systems like modal logic. But other theorists draw the distinction between the philosophy of logic and philosophical logic differently or not at all. Metalogic is closely related to the philosophy of logic as the discipline investigating the properties of formal logical systems, like consistency and completeness.
Ralph Henry Johnson is a Canadian American philosopher, born in Detroit, Michigan. Johnson has been credited as one of the founding members of the informal logic movement in North America, along with J. Anthony Blair who co-published one of the movement's most influential texts, Logical Self-Defense, with Johnson. Alongside its founder, Blair, Johnson co-directed the Centre for Research in Reasoning, Argumentation, and Rhetoric at the University of Windsor. As Johnson and Blair write in the preface to the newest edition of Logical Self-Defense on the influential nature of the text:
"We might note that the theoretical perspective introduced in Logical Self-Defense has proved quite influential among textbook authors. It is to be found in modified form in A Practical Study of Argument by Trudy Govier, in Attacking Faulty Reasoning by T. Edward Damer, in Logic in Everyday Life and Open Minds and Everyday Reasoning by Zachary Seech, in Thinking Logically by James B. Freeman, and in Good Reasoning Matters by Leo Groarke and Christopher W. Tindale."
Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or logical truths. It studies how conclusions follow from premises due to the structure of arguments alone, independent of their topic and content. Informal logic is associated with informal fallacies, critical thinking, and argumentation theory. It examines arguments expressed in natural language while formal logic uses formal language. When used as a countable noun, the term "a logic" refers to a logical formal system that articulates a proof system. Logic plays a central role in many fields, such as philosophy, mathematics, computer science, and linguistics.
The Centre for Research in Reasoning, Argumentation, and Rhetoric (CRRAR) is an interdisciplinary research group within the University of Windsor, Canada, which supports research in the fields of argumentation, informal logic, and rhetoric. Notable members include the widely published argumentation theorist Douglas N. Walton, and early founders of the informal logic field Ralph Johnson and J. Anthony Blair.
Christopher William Tindale is a Canadian philosopher specializing in rhetoric, argumentation theory, and ancient Greek philosophy. Tindale is an editor of the journal Informal Logic, and currently serves as the chair of the Centre for Research in Reasoning, Argumentation, and Rhetoric. He has published numerous books and articles, translated into several languages, with a focus on argumentation and rhetoric.
Leo Groarke is a Canadian philosopher, known for his contributions to argumentation theory and informal logic.
In argumentation theory, an argumentation scheme or argument scheme is a template that represents a common type of argument used in ordinary conversation. Many different argumentation schemes have been identified. Each one has a name and presents a type of connection between premises and a conclusion in an argument, and this connection is expressed as a rule of inference. Argumentation schemes can include inferences based on different types of reasoning—deductive, inductive, abductive, probabilistic, etc.
References
- ↑ "Windsor Daily News, March 14, 2007". Archived from the original on January 18, 2018. Retrieved March 6, 2016.
- 1 2 "CRRAR at UWindsor". Archived from the original on 2017-10-25. Retrieved 2016-03-06.
- ↑ FiPaHi yearbook
- ↑ OttawaSkiClub Yearbook 1958-59
- ↑ OldMcGill 1960, 1962
- ↑ 2006 Logical Self-Defense, Ralph H. Johnson and J. Anthony Blair. New York: IDEA. Pg. vii
- ↑ "UWindsor Philosophy Faculty".
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