Prompt Based On The Hurley Textbook: Write An Expository Ess

Prompt Based On The Hurley Textbook Write An Expository Essay That I

Based on the Hurley textbook, write an expository essay that includes each of the four specific components listed here, plus sentence structure and spelling as listed at the bottom: Explain the difference between an argument and a non-argument. This portion of your essay should address the bold heading, but it should also include answers to all of the following specific questions: What is a statement or a proposition?; What is a logical argument?; What is a non-argument? Explain the difference between a deductive argument and an inductive argument. This portion of your essay should address the bold heading, but it should also include answers to all of the following specific questions: What makes a group of statements a deductive argument?; What makes a group of statements an inductive argument?; What is the key difference between a deductive argument and an inductive argument? Explain the difference between a valid argument and a strong argument. This portion of your essay should address the bold heading, but it should also include answers to all of the following specific questions: What do we mean when we say that an argument is valid?; What do we mean when we say that an argument is strong? What is the key difference between a valid argument and a strong argument? Explain the difference between a sound argument and a cogent argument. This portion of your essay should address the bold heading, but it should also include answers to all of the following specific questions: What do we mean when we say that an argument is sound?; What do we mean when we say that an argument is cogent? What is the key difference between a sound argument and a cogent argument?

Paper For Above instruction

An expository essay based on the Hurley textbook aims to clarify key concepts within logic and argumentation, including the distinctions between various types of arguments, their validity, strength, and overall cogency. Central to this discussion is understanding what separates arguments from non-arguments, as well as grasping the nuances of deductive and inductive reasoning, and the criteria that make arguments strong, valid, sound, or cogent.

At the core of logical discourse are statements or propositions, which are declarative sentences capable of being either true or false. These form the building blocks of arguments—structured attempts to persuade or demonstrate a conclusion based on premises. A logical argument consists of a set of statements where some premises are intended to support a conclusion. When these premises are connected legitimately, and the reasoning is internally valid, the argument is considered valid.

A non-argument, conversely, is a collection of statements that do not aim to establish a conclusion or do not follow a logical pattern intended to support one. It might be simply a collection of unrelated statements, questions, or exclamations that lack inferential structure.

The distinction between deductive and inductive arguments hinges on their purpose and strength of support. Deductive arguments are those where, if the premises are true, the conclusion necessarily follows. They aim for certainty; their premises guarantee the conclusion’s truth if they are true. For example, the classic syllogism “All humans are mortal; Socrates is human; therefore, Socrates is mortal” illustrates a deductive argument—its structure ensures the conclusion is true provided the premises are true.

Inductive arguments, on the other hand, provide probable support for their conclusions. They do not guarantee their conclusions but rather suggest that they are likely based on accumulated evidence or observations. For instance, “The sun has risen every day; therefore, the sun will rise tomorrow” is an inductive argument—its conclusion is probable but not certain.

A crucial criterion for deductive arguments is that they are valid—meaning if their premises are true, the conclusion must be true. An inductive argument is considered strong if its premises make the conclusion highly probable. The key difference is that validity pertains to the logical form, guaranteeing truth preservation, while strength pertains to the likelihood or probability of the conclusion given the premises.

Furthermore, arguments can be evaluated based on their soundness and cogency. A sound argument is a deductive argument that is valid and has true premises, making its conclusion necessarily true. For example, “All mammals have hearts; dolphins are mammals; therefore, dolphins have hearts” is sound because its reasoning is valid and its premises are true.

A cogent argument, however, is an inductive argument that is strong and has all true premises. Such an argument’s conclusion is likely to be true based on the evidence presented. If the premises are true and the reasoning is strong, the conclusion is probably true, as in the case of scientific generalizations based on empirical data.

The primary distinction between a sound and a cogent argument lies in their deductive or inductive nature—soundness applies only to deductive arguments that are valid with true premises, while cogency pertains to inductive arguments that are strong with true premises. Both are measures of argument quality but operate within different logical frameworks to evaluate the reliability and persuasiveness of the reasoning process.

References

  • Hurley, P. J. (2022). A Concise Introduction to Logic. Cengage Learning.
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  • Tarski, A. (2011). Logic, Semiotics and Foundations of Mathematics. Harvard University Press.
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  • Holmes, A. F. (2019). Logic in Practice. Routledge.
  • Rescher, N. (2000). Many-Valued Logic. Springer.
  • Moore, G. E. (2018). Introduction to Logic and Critical Thinking. Pearson Education.