Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo

5.1 Philosophical Methods for Discovering Truth

1 .
What is the general structure of a dialectic?
2 .
What is a statement?
3 .
Offer an example of a statement and its negation.
4 .
How does the law of noncontradiction logically imply the law of the excluded middle?

5.2 Logical Statements

5 .
Offer an example of a conditional, then identify the necessary and sufficient conditions expressed by it.
6 .
What is a counterexample?
7 .
Consider the following conditional: “If you walk in the rain, your shirt will get wet.” What is a possible counterexample to this statement?
8 .
Consider the following universal affirmative statement: “All games involve a winner and a loser.” What is a counterexample to this statement?

5.3 Arguments

9 .
What is an argument?
10 .
What are the key components of an argument?
11 .
Consider the following argument: “Since Jori is allergic to cats and her apartment complex does not allow dogs, it must be the case that Jori does not have a pet.” What are the premises of this argument, and what is the conclusion? What words in the argument indicate the premises and conclusion?
12 .
Explain the difference between a logical analysis and a truth analysis of an argument.

5.4 Types of Inferences

13 .
What makes a deductive argument valid, and how can you test for validity?
14 .
Explain inductive inference, and describe how it is different from an abductive inference.
15 .
How is reasoning from specific instances to generalizations similar to reasoning from the past to the future?
16 .
Explain abductive inference and describe how it is similar to an inductive inference.

5.5 Informal Fallacies

17 .
What are the four general categories of informal fallacies?
18 .
What is the difference between fallacies of relevance and fallacies of weak induction?
19 .
What is problematic with appealing to emotion in an argument, and how does this qualify it as a fallacy of relevance?
20 .
Explain what a fallacy of unwarranted assumption is, and offer an example of one.
Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution License and you must attribute OpenStax.

Attribution information
  • If you are redistributing all or part of this book in a print format, then you must include on every physical page the following attribution:
    Access for free at https://openstax.org/books/introduction-philosophy/pages/1-introduction
  • If you are redistributing all or part of this book in a digital format, then you must include on every digital page view the following attribution:
    Access for free at https://openstax.org/books/introduction-philosophy/pages/1-introduction
Citation information

© Mar 1, 2024 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.