Counterargument
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Counterargument
In reasoning and argument mapping, a counterargument is an objection (argument), objection to an objection. A counterargument can be used to Rebuttal, rebut an objection to a premise, a main contention or a lemma (logic), lemma. Synonyms of counterargument may include rebuttal, reply, counterstatement, counterreason, comeback and response. The attempt to rebut an argument may involve generating a counterargument or finding a counterexample. Use To speak of counterarguments is not to assume that there are only two sides to a given issue nor that there is only one type of counterargument. For a given argument, there are often a large number of counterarguments, some of which are not compatible with each other. A counterargument might seek to cast doubt on facts of one or more of the first argument's premises, to show that the first argument's contention does not follow from its premises in a valid manner, or the counterargument might pay little attention to the premises and common s ...
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Argument Map
An argument map or argument diagram is a visual representation of the structure of an argument. An argument map typically includes the key components of the argument, traditionally called the '' conclusion'' and the ''premises'', also called ''contention'' and ''reasons''. Argument maps can also show co-premises, objections, counterarguments, rebuttals, and lemmas. There are different styles of argument map but they are often functionally equivalent and represent an argument's individual claims and the relationships between them. Argument maps are commonly used in the context of teaching and applying critical thinking. The purpose of mapping is to uncover the logical structure of arguments, identify unstated assumptions, evaluate the support an argument offers for a conclusion, and aid understanding of debates. Argument maps are often designed to support deliberation of issues, ideas and arguments in wicked problems. An argument map is not to be confused with a concept map or ...
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Objection (argument)
In argumentation, an objection is a reason arguing against a premise, argument, or conclusion. Definitions of objection vary in whether an objection is always an argument (or counterargument) or may include other moves such as questioning. An objection to an objection is sometimes known as a rebuttal. An objection can be issued against an argument retroactively from the point of reference of that argument. This form of objection – invented by the presocratic philosopher Parmenides – is commonly referred to as a retroactive refutation. Inference objection An inference objection is an objection to an argument based not on any of its stated premises, but rather on the relationship between a premise and main contention. For a given simple argument, if the assumption is made that its premises are correct, fault may be found in the progression from these to the conclusion of the argument. This can often take the form of an unstated co-premise, as in begging the question. In o ...
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Inference Objection
In argumentation, an objection is a reason arguing against a premise, argument, or conclusion. Definitions of objection vary in whether an objection is always an argument (or counterargument) or may include other moves such as questioning. An objection to an objection is sometimes known as a rebuttal. An objection can be issued against an argument retroactively from the point of reference of that argument. This form of objection – invented by the presocratic philosopher Parmenides – is commonly referred to as a retroactive refutation. Inference objection An inference objection is an objection to an argument based not on any of its stated premises, but rather on the relationship between a premise and main contention. For a given simple argument, if the assumption is made that its premises are correct, fault may be found in the progression from these to the conclusion of the argument. This can often take the form of an unstated co-premise, as in begging the question. In othe ...
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Graham's Hierarchy Of Disagreement-en
W. & J. Graham's, or simply Graham's, is a producer of port wine. It is one of the most important of the port names and it is necessary for Graham's to declare a vintage for the year to be considered vintage by the port industry. Founded in 1820 as a consequence of the Graham family firm receiving a load of Portuguese wine as payment for a debt, the Graham's port business continues to operate today under the ownership of the Symington Family Estates who purchased the brand in 1970. As well as vintage port, Graham's produces a range of wines, including Six Grapes, a reserve port, Quinta dos Malvados, named after the estate purchased by the company in 1890, and various single harvest ports, including the 1882 Ne Oublie Tawny, named after the Graham family motto and at the time one of the most expensive wines for sale. The company received a Royal Warrant in 2015. History William Graham set up a trading company in Glasgow in 1784, and over the following decade developed as a textile ...
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Reason
Reason is the capacity of consciously applying logic by drawing conclusions from new or existing information, with the aim of seeking the truth. It is closely associated with such characteristically human activities as philosophy, science, language, mathematics, and art, and is normally considered to be a distinguishing ability possessed by humans. Reason is sometimes referred to as rationality. Reasoning is associated with the acts of thinking and cognition, and involves the use of one's intellect. The field of logic studies the ways in which humans can use formal reasoning to produce logically valid arguments. Reasoning may be subdivided into forms of logical reasoning, such as: deductive reasoning, inductive reasoning, and abductive reasoning. Aristotle drew a distinction between logical discursive reasoning (reason proper), and intuitive reasoning, in which the reasoning process through intuition—however valid—may tend toward the personal and the subject ...
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Rebuttal
In law, rebuttal is a form of evidence that is presented to contradict or nullify other evidence that has been presented by an adverse party. By analogy the same term is used in politics and public affairs to refer to the informal process by which statements, designed to refute or negate specific arguments (see Counterclaim) put forward by opponents, are deployed in the media. In law, special rules apply to rebuttal; rebuttal evidence or rebuttal witnesses must be confined solely to the subject matter of the evidence rebutted. New evidence on other subjects may not be brought in rebuttal. However, rebuttal is one of the few vehicles whereby a party may introduce surprise evidence or witnesses. The basic process is as follows: both sides of a controversy are obliged to declare in advance of trial what witnesses they plan to call, and what each witness is expected to testify to. When either a plaintiff (or prosecutor) or defendant brings direct evidence or testimony In law ...
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Premise
A premise or premiss is a true or false statement that helps form the body of an argument, which logically leads to a true or false conclusion. A premise makes a declarative statement about its subject matter which enables a reader to either agree or disagree with the premise in question, and in doing so understand the logical assumptions of the argument. If a premise is logically false, then the conclusion, which follows from all of the premises of the argument, must also be false—unless the conclusion is supported by a logically valid argument which the reader agrees with. Therefore, if the reader disagrees with any one of the argument's premises, they have a logical basis to reject the conclusion of the argument. Explanation In logic, an argument requires a set of at least two declarative sentences (or "propositions") known as the "premises" (or "premisses"), along with another declarative sentence (or "proposition"), known as the conclusion. This structure of two prem ...
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Lemma (logic)
In mathematics, informal logic and argument mapping, a lemma (plural lemmas or lemmata) is a generally minor, proven proposition which is used as a stepping stone to a larger result. For that reason, it is also known as a "helping theorem" or an "auxiliary theorem". In many cases, a lemma derives its importance from the theorem it aims to prove; however, a lemma can also turn out to be more important than originally thought. The word "lemma" derives from the Ancient Greek ("anything which is received", such as a gift, profit, or a bribe). Comparison with theorem There is no formal distinction between a lemma and a theorem, only one of intention (see Theorem terminology). However, a lemma can be considered a minor result whose sole purpose is to help prove a more substantial theorem – a step in the direction of proof. Well-known lemmas A good stepping stone can lead to many others. Some powerful results in mathematics are known as lemmas, first named for their originally min ...
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Argument
An argument is a statement or group of statements called premises intended to determine the degree of truth or acceptability of another statement called conclusion. Arguments can be studied from three main perspectives: the logical, the dialectical and the rhetorical perspective. In logic, an argument is usually expressed not in natural language but in a symbolic formal language, and it can be defined as any group of propositions of which one is claimed to follow from the others through deductively valid inferences that preserve truth from the premises to the conclusion. This logical perspective on argument is relevant for scientific fields such as mathematics and computer science. Logic is the study of the forms of reasoning in arguments and the development of standards and criteria to evaluate arguments. Deductive arguments can be valid, and the valid ones can be sound: in a valid argument, premisses necessitate the conclusion, even if one or more of the premises is false ...
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Counterexample
A counterexample is any exception to a generalization. In logic a counterexample disproves the generalization, and does so rigorously in the fields of mathematics and philosophy. For example, the fact that "John Smith is not a lazy student" is a counterexample to the generalization “students are lazy”, and both a counterexample to, and disproof of, the universal quantification “all students are lazy.” In mathematics, the term "counterexample" is also used (by a slight abuse) to refer to examples which illustrate the necessity of the full hypothesis of a theorem. This is most often done by considering a case where a part of the hypothesis is not satisfied and the conclusion of the theorem does not hold. In mathematics In mathematics, counterexamples are often used to prove the boundaries of possible theorems. By using counterexamples to show that certain conjectures are false, mathematical researchers can then avoid going down blind alleys and learn to modify conjectures t ...
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Parmenides
Parmenides of Elea (; grc-gre, Παρμενίδης ὁ Ἐλεάτης; ) was a pre-Socratic Greek philosopher from Elea in Magna Graecia. Parmenides was born in the Greek colony of Elea, from a wealthy and illustrious family. His dates are uncertain; according to doxographer Diogenes Laërtius, he flourished just before 500 BC, which would put his year of birth near 540 BC, but in the dialogue '' Parmenides'' Plato has him visiting Athens at the age of 65, when Socrates was a young man, c. 450 BC, which, if true, suggests a year of birth of c. 515 BC. He is thought to have been in his prime (or "floruit") around 475 BC. The single known work by Parmenides is a poem whose original title is unknown but which is often referred to as ''On Nature.'' Only fragments of it survive. In his poem, Parmenides prescribes two views of reality. The first, the Way of "Alethia" or truth, describes how all reality is one, change is impossible, and existence is timeless and uniform. The s ...
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Debate
Debate is a process that involves formal discourse on a particular topic, often including a moderator and audience. In a debate, arguments are put forward for often opposing viewpoints. Debates have historically occurred in public meetings, academic institutions, debate halls, coffeehouses, competitions, and legislative assemblies. Debate has also been conducted for educational and recreational purposes, usually associated with educational establishments and debating societies. These debates put an emphasis upon logical consistency, factual accuracy, and emotional appeal to an audience. Modern forms of competitive debate also include rules for participants to discuss and decide upon the framework of the debate (how the debate will be judged). History Debating in various forms has a long history and can be traced back to the philosophical and political debates of Ancient Greece, such as Athenian democracy or Shastrartha in Ancient India. Modern forms of debating and the es ...
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